Relevant bibliographies by topics / Switched linear/nonlinear systems

Academic literature on the topic 'Switched linear/nonlinear systems'

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Published: 18 April 2023

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Journal articles on the topic "Switched linear/nonlinear systems"

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Otanez, Paul G., and Mark E. Campbell. "Bounded Switched Linear Estimator for Smooth Nonlinear Systems." IEEE Transactions on Control Systems Technology 15, no. 2 (March 2007): 358–68. http://dx.doi.org/10.1109/tcst.2006.886436.

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Farshidian, Farbod, Maryam Kamgarpour, Diego Pardo, and Jonas Buchli. "Sequential Linear Quadratic Optimal Control for Nonlinear Switched Systems." IFAC-PapersOnLine 50, no. 1 (July 2017): 1463–69. http://dx.doi.org/10.1016/j.ifacol.2017.08.291.

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Dong, Xiaoxiao, Linyan Chang, Fangfang Wu, and Na Hu. "Tracking Control for Switched Cascade Nonlinear Systems." Mathematical Problems in Engineering 2015 (2015): 1–6. http://dx.doi.org/10.1155/2015/105646.

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The issue ofH∞output tracking for switched cascade nonlinear systems is discussed in this paper, where not all the linear parts of subsystems are stabilizable. The conditions of the solvability for the issue are given by virtue of the structural characteristics of the systems and the average dwell time method, in which the total activation time for stabilizable subsystems is longer than that for the unstabilizable subsystems. At last, a simulation example is used to demonstrate the validity and advantages of the proposed approach.
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Xu, Hui, and Min Wang. "Robust H1 control for a class of switched nonlinear systems." JOURNAL OF ADVANCES IN MATHEMATICS 12, no. 2 (April 15, 2016): 5870–79. http://dx.doi.org/10.24297/jam.v12i2.537.

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This article is concerned with the robust H1 control problem of a class of switched nonlinear systems with norm-bounded time-varying uncertainties. The system considered in this class is composed of two parts: a uncertain linear switched part and a nonlinear part, which is also switched systems. Under the circumstances, that the H1 control problem of all subsystems are not all solvable, the switched feedback control law and the switching law are designed using the average dwell-time method. The corresponding closed-loop switched system is exponentially stable and achieves a weighted L2-gain.
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Zong, Xiao Ping, Miao Zhang, and Pei Guang Wang. "Adaptive Controller Design for SISO Switched Nonlinear Systems with Linear Uncertain Parameters." Applied Mechanics and Materials 602-605 (August 2014): 1362–66. http://dx.doi.org/10.4028/www.scientific.net/amm.602-605.1362.

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This paper presents that single input single output (SISO) switched nonlinear system tracks the variation of the state error to approach the excepted values by using model reference adaptive control (MRAC) method. In order to improve the adaptive control for nonlinear systems by Using Narendra method and dividing the system into two parts: linear and nonlinear parts. The controllers are designed to guarantee that the systems are closed to the model reference system with the arbitrary switching signal. Switching systems can ensure choose the best controller so that can enhance the performance. The adaptive laws are given that are based on a class of feedback single input single output nonlinear uncertain systems which can switch feedback linear standard models. The adaptive laws are different from the classic adaptive laws, because they vary with different switching signals until the best matching one comes. Simulation results show that the proposed method is effective.
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Wu, Cai Yun, and Ben Niu. "Robust Stabilization for a Class of Switched Nonlinear Systems." Advanced Materials Research 490-495 (March 2012): 1536–40. http://dx.doi.org/10.4028/www.scientific.net/amr.490-495.1536.

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This paper addresses the stabilization problem for a class of switched nonlinear systems with Lipschitz nonlinearities using the multiple Lyapunov functions (MLFs) approach. A state feedback controller and a state dependent switching law are proposed to asymptotic stabilization the switched system via linear matrix inequalities (LMI). The developed control strategy ensures asymptotic stability of the closed-loop system even if the nonlinear part . Finally, the feasibility of the proposed method is illustrated through a simulation example
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Zhang, Xia, Zun-Quan Xia, and Yan Gao. "Exponential Stabilizability of Switched Systems with Polytopic Uncertainties." Journal of Applied Mathematics 2012 (2012): 1–15. http://dx.doi.org/10.1155/2012/853170.

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The exponential stabilizability of switched nonlinear systems with polytopic uncertainties is explored by employing the methods of nonsmooth analysis and the minimum quadratic Lyapunov function. The switchings among subsystems are dependent on the directional derivative along the vertex directions of subsystems. In particular, a sufficient condition for exponential stabilizability of the switched nonlinear systems is established considering the sliding modes and the directional derivatives along sliding modes. Furthermore, the matrix conditions of exponential stabilizability are derived for the case of switched linear system and the numerical example is given to show the validity of the synthesis results.
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Zhao, Jianrong, and Wei Liu. "Sampled-data control for switched neutral systems with quantization input under asynchronous switching." Transactions of the Institute of Measurement and Control 40, no. 16 (January 25, 2018): 4287–97. http://dx.doi.org/10.1177/0142331217745353.

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This paper is concerned with sampled-data control for switched neutral systems with quantization input under asynchronous switching. By combining the multiple function method and the average dwell time technique, a lemma gives input-to-state stability conditions for switched nonlinear neutral systems. Considering the relationship between the sampling periods and minimal dwell time of two switching instants, sampled-data control is extended into the input-to-state stability of switched neutral systems under asynchronous switching. The sector bound approach is used to analyse quantization phenomena. For switched linear neutral systems with nonlinear perturbations and quantization input, linear matrix inequality conditions are given to guarantee input-to-state stability. Then, a sampled-data based controller with transmission delays is designed. In the end, the effectiveness of the results is illustrated by a simulation example about the management of forests.
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Kermani, Marwen, and Anis Sakly. "On Robust Stability Analysis of Uncertain Discrete-Time Switched Nonlinear Systems with Time Varying Delays." Mathematical Problems in Engineering 2018 (August 16, 2018): 1–14. http://dx.doi.org/10.1155/2018/6354979.

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This paper provides new sufficient conditions on robust asymptotic stability for a class of uncertain discrete-time switched nonlinear systems with time varying delays. The main focus will be dedicated to development of new algebraic criteria to break with classical criteria in terms of linear matrix inequalities (LMIs). Firstly, by contracting a new common Lyapunov-Krasovskii functional as well as resorting to the M-matrix proprieties, a novel robust stability criterion under arbitrary switching signals is derived. Secondly, the obtained result is extended for a class of switched nonlinear systems modeled by a set of differences equations by applying the aggregation techniques, the norm vector notion, and the Borne-Gentina criterion. Furthermore, a generalization for switched nonlinear systems with multiple delays is proposed. The main contribution of this work is that the obtained stability conditions are algebraic and simple. In addition, they provide a solution of the most difficult problem in switched systems, which is stability under arbitrary switching, and enable avoiding searching a common Lyapunov function considered as a very difficult task even for some low-order linear switched systems. Finally, two examples are given, with numerical simulations, to show the merit and effectiveness of the proposed approach.
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Yang, Junqi, Yantao Chen, Zheng Zheng, and Wei Qian. "Robust adaptive state estimation for uncertain nonlinear switched systems with unknown inputs." Transactions of the Institute of Measurement and Control 40, no. 4 (October 31, 2016): 1082–91. http://dx.doi.org/10.1177/0142331216673697.

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This paper discusses the issue of the continuous state estimation for a class of uncertain nonlinear switched systems under the two cases of both average dwell time and mode-dependent average dwell time. A robust and adaptive switched observer is developed such that the states of an original nonlinear switched system can be asymptotically estimated, where the Lipschitz constant of the nonlinear term may be unknown since the designed adaptation law can adaptively adjust it. Based on the feasible solution of an optimization problem with a linear matrix inequality constraint, the observer gain matrices are obtained and guarantee the existence of a robust switched observer. Meanwhile, the switching signals are designed such that the observer error dynamics is globally uniformly exponentially stable, and the sufficient conditions of the existence of a robust sliding-mode switched observer are derived. Finally, the effectiveness of the proposed approaches is illustrated by a numerical example and switched Rössler chaotic dynamics.
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Dissertations / Theses on the topic "Switched linear/nonlinear systems"

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Lim, Hong Sun. "Design and Control of A Ropeless Elevator with Linear Switched Reluctance Motor Drive Actuation Systems." Diss., Virginia Tech, 2007. http://hdl.handle.net/10919/26541.

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Linear switched reluctance motor (LSRM) drives are investigated and proved as an alternative actuator for vertical linear transportation applications such as a linear elevator. A one-tenth scaled prototype elevator focused on a home elevator with LSRMs is designed and extensive experimental correlation is presented for the first time. The proposed LSRM has twin stators and a set of translator poles without back-iron. The translators are placed between the two stators. The design procedures and features of the LSRM and the prototype elevator are described. The designed LSRM is validated through a finite element analysis (FEA) and experimental measurements. Furthermore, a control strategy for the prototype elevator is introduced consisting of four control loops, viz., current, force, velocity, and position feedback control loops. For force control, a novel force distribution function (FDF) is proposed and compared with conventional FDFs. A trapezoidal velocity profile is introduced to control vertical travel position smoothly during the elevator's ascent, descent, and halt operations. Conventional proportional plus integral (PI) controller is used for the current and velocity control loops and their designs are described. The proposed control strategy is dynamically simulated and experimentally correlated. Analytical and experimental results of this research prove that LSRMs are one of the strong candidates for ropeless linear elevator applications. However, the proposed FDF is assuming that the feedback current signals are ideal currents indicating actual phase currents without any measurement disturbances mainly arising from sensor noise, DC-link voltage ripple, measurement offset, and variations in the plant model. Meanwhile, real control systems in industry have measurement disturbance problems. Phase current corrupted by measurement disturbances increases torque or force ripple, acoustic noise and EMI. Therefore, this dissertation also presents a novel current control method to suppress measurement disturbances without extra hardware. The controller is based on an extended state observer (ESO) and a nonlinear P controller (NLP). The proposed method does not require an accurate mathematical model of system and can be implemented on a low-cost DSP controller. The proposed ESO is exploited to estimate the measurement disturbances on measured phase currents, and the proposed NLP compensates for the measurement disturbances estimated by the ESO. The performance of the proposed current control is validated through extensive dynamic simulations and experiments. Moreover, this rejection of measurement disturbances results in a reduction of force ripple and acoustic noise. Due to superior and robust current control performance, it is believed that the proposed method can be successfully applied into other motor drive systems to suppress measurement disturbances with the same promising results without extra hardware.
Ph. D.
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Suto, Alan Pereira 1989. "Análise de estabilidade e desempenho H2 de sistemas do tipo Lur'e com comutação." [s.n.], 2015. http://repositorio.unicamp.br/jspui/handle/REPOSIP/265797.

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Orientador: Grace Silva Deaecto
Dissertação (mestrado) - Universidade Estadual de Campinas, Faculdade de Engenharia Mecânica
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Resumo: Esta dissertação trata do controle H2 de sistemas com comutação do tipo Lur¿e baseado no critério generalizado de Popov. Mais especificamente, uma nova regra de comutação dependente do estado e da entrada externa é proposta de tal forma a assegurar estabilidade assintótica global e um custo garantido H2 de desempenho. Esta nova estratégia de comutação é o ponto chave para a generalização do célebre critério de Popov. Como no caso de sistemas invariantes no tempo, propomos um teste de estabilidade baseado no domínio da frequência expresso em termos de uma certa combinação convexa das matrizes de espaço de estado dos subsistemas. Ademais, este teste leva em conta a inclusão de um índice de desempenho H2 cujo estudo, no presente contexto, é inédito na literatura. Os resultados teóricos obtidos são aplicados no controle de uma suspensão semi-ativa automotiva evidenciando a validade e a eficiência da função de comutação proposta
Abstract: This Master¿s dissertation deals with H2 control design of Lur¿e-type switched systems based on the generalized Popov criterion. More specifically, a novel state-input dependent switching rule is proposed in order to assure global asymptotic stability and an H2 guaranteed cost. This new switching strategy is the key issue to generalize the celebrated Popov criterion. Likewise the case of time invariant systems, we propose a frequency domain stability test that is expressed in terms of a certain convex combination of the subsystems state space matrices. Moreover, this test takes into account an H2 performance index whose study, in the present context, is new in the literature. The theoretical results are used to the control design of a car semiactive suspension and to put in evidence the validity and the efficiency of the proposed switching function
Mestrado
Mecanica dos Sólidos e Projeto Mecanico
Mestre em Engenharia Mecânica
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Ramos, Igor Thiago Minari. "Projetos de controladores robustos chaveados para sistemas não lineares baseados na decomposição em soma de quadrados /." Ilha Solteira, 2018. http://hdl.handle.net/11449/154369.

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Orientador: Marcelo Carvalho Minhoto Teixeira
Resumo: Neste trabalho são propostos novos métodos de controle chaveado para uma classe de sistemas não lineares incertos utilizando a decomposição em soma de quadrados. Inicialmente é apresentada uma revisão dos conceitos e projetos de controladores baseados em desigualdades matriciais lineares (do inglês Linear Matrix Inequalities - LMIs) e a decomposição em soma de quadrados (do inglês Sum of Squares - SOS), buscando evidenciar as diferenças e vantagens das metodologias para a área de controle. Comumente são utilizados modelos fuzzy para realizar a análise da estabilidade e projeto de controladores para sistemas não lineares, e estes modelos podem ser classificados de acordo com a parte consequente linear ou polinomial. Busca-se neste trabalho evidenciar as diferenças entre os dois modelos fuzzy e a metodologia para projeto de controladores. Para o caso de sistemas cujas dinâmicas podem ser descritas apenas por funções polinomiais, serão consideradas incertezas politópicas. Então, visando flexibilizar o projeto utilizando um controlador composto por um único ganho polinomial e aumentar a região de factibilidade, são propostos controladores com ganhos polinomiais chaveados. O objetivo desta lei de chaveamento é minimizar a derivada da função de Lyapunov empregada no projeto. Considerando uma classe de sistemas não lineares mais geral, são propostos controladores com ganhos chaveados para modelos fuzzy polinomiais. A metodologia proposta não necessita do conhecimento das funções de ... (Resumo completo, clicar acesso eletrônico abaixo)
Abstract: In this manuscript new control methods are proposed for a class of uncertain nonlinear systems using a sum of squares decomposition. Initially is presented a revision of concepts and control design procedures based on Linear Matrix Inequalities (LMIs) and on sum of squares (SOS) evidencing the differences and advantages of these methodologies in the control system design. Fuzzy models are commonly used to perform stability analysis and controller design for nonlinear systems, and can be classified by a linear or polynomial consequent model. A goal of this dissertation is to compare these two methodologies in the control system design of a class of uncertain nonlinear systems. For the case of systems whose dynamics can be described only by polynomial functions will be also considered polytopic uncertainty. Therefore, in order to make the design more flexible than that obtained with only one controller with polynomial gain and increase the feasibility region, a new procedure for designing controllers with switched polynomial gains is proposed. The purpose of this switching law is to minimize the time derivative of the Lyapunov function employed in the design. For a more general class of nonlinear systems, controllers with switched gains for polynomial fuzzy models are proposed. The proposed methodology does not require the knowledge of the membership functions for an implementation of the control law. This fact is an important advantage over the many methods that consider avail... (Complete abstract click electronic access below)
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Mayo, Maldonado Jonathan. "Switched linear differential systems." Thesis, University of Southampton, 2015. https://eprints.soton.ac.uk/383678/.

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In this thesis we study systems with switching dynamics and we propose new mathematical tools to analyse them. We show that the postulation of a global state space structure in current frameworks is restrictive and lead to potential difficulties that limit its use for the analysis of new emerging applications. In order to overcome such shortcomings, we reformulate the foundations in the study of switched systems by developing a trajectory-based approach, where we allow the use of models that are most suitable for the analysis of a each system. These models can involve sets of higher-order differential equations whose state space does not necessarily coincide. Based on this new approach, we first study closed switched systems, and we provide sufficient conditions for stability based on LMIs using the concept of multiple higher order Lyapunov function. We also study the role of positive-realness in stability of bimodal systems and we introduce the concept of positive-real completion. Furthermore, we study open switched systems by developing a dissipativity theory. We give necessary and sufficient conditions for dissipativity in terms of LMIs constructed from the coefficient matrices of the differential equations describing the modes. The relationship between dissipativity and stability is also discussed. Finally, we study the dynamics of energy distribution networks. We develop parsimonious models that deal effectively with the variant complexity of the network and the inherent switching phenomena induced by power converters. We also present the solution to instability problems caused by devices with negative impedance characteristics such as constant power loads, using tools developed in our framework.
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Babaali, Mohamed. "Switched Linear Systems: Observability and Observers." Diss., Available online, Georgia Institute of Technology, 2004:, 2004. http://etd.gatech.edu/theses/available/etd-04122004-073020/unrestricted/babaali%5Fmohamed%5F200405%5Fphd.pdf.

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Thesis (Ph. D.)--Electrical and Computer Engineering, Georgia Institute of Technology, 2004.
Verriest, Erik, Committee Member ; Wardi, Yorai, Committee Member ; Yezzi, Anthony, Committee Member ; Wang, Yang, Committee Member ; Egerstedt, Magnus, Committee Chair. Vita. Includes bibliographical references (leaves 80-85).
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Alves, Uiliam Nelson Lendzion Tomaz. "Controle chaveado e chaveado suave de sistemas não lineares incertos via modelos fuzzy T-S." Universidade Estadual Paulista (UNESP), 2017. http://hdl.handle.net/11449/152448.

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Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)
O controle chaveado pode ser eficientemente utilizado no controle de sistemas fuzzy TakagiSugeno (T-S) incertos, que possuam funções de pertinência incertas e modelos locais conhecidos. Como estes sistemas fuzzy podem representar exatamente uma classe de sistemas não lineares incertos em uma região do espaço de estados, é interessante utilizá-los para descrever sistemas não lineares, usando no projeto do controlador o modelo fuzzy que descreve exatamente o sistema não linear. Porém, como a representação através de combinação convexa obtida é válida apenas em uma região do espaço de estados, garantias de que o estado do sistema permaneça nessa região devem ser obtidas. Neste trabalho são propostas condições que garantem a estabilização local, com a especificação da taxa decaimento, de uma classe de sistemas não lineares contínuos no tempo, incertos e com saturação no atuador, utilizando o controle chaveado. Os projetos dos controladores são realizados com base no modelo fuzzy T-S que representa exatamente o sistema não linear e os procedimentos de projeto fornecem uma região na qual as condições iniciais devam estar, tal que, o sistema não linear seja exatamente descrito pelo modelo fuzzy T-S incerto durante toda a trajetória de estado do sistema e ainda que esta trajetória permaneça dentro de uma região de operação previamente especificada. Em geral, o controle chaveado não possui restrição na frequência de chaveamento dos ganhos, o que pode levar ao chattering, que se manifesta pelo chaveamento em frequência infinitamente rápida dos ganhos de realimentação. Visando a eliminação do chattering no controle chaveado, propõe-se uma nova técnica de suavização do controle chaveado, o controle chaveado suave. Esta nova lei de controle pode ser utilizada nas mesmas condições do controle chaveado e é baseada no conceito do mínimo suave, definido neste trabalho. Além disso, são propostos procedimentos de projeto que consideram distúrbios para ambas as leis de controle chaveada e chaveada suave. Ademais, neste trabalho também se apresenta uma implementação da lei de controle chaveada em um sistema Ball Balancer fabricado pela Quanser.
The switched control can be efficiently used for controlling uncertain Takagi-Sugeno (T-S) fuzzy systems, which have uncertain membership functions and known local models. Because these fuzzy systems can exactly represent a class of uncertain nonlinear systems in a given operation region in the state space, it is interesting to use them to describe nonlinear systems, performing the controller design based on a T-S fuzzy model that exactly describes the nonlinear system. However, the perfect representation of the uncertain nonlinear system by the T-S fuzzy model as a convex combination is only valid in the operation region. Therefore, it is necessary to assure conditions such that the state of the system remains in that region. This work proposes conditions to ensure the local stabilization, with decay rate, of a class of uncertain continuoustime nonlinear systems with saturation on the actuator, using a switched control. The designs of the controllers are performed based on the T-S fuzzy model which exactly describes the nonlinear system and the design procedures provide a region in which the initial conditions must be such that the nonlinear system is exactly described by the uncertain T-S fuzzy model along the whole state trajectory of the system and this trajectory remains in a specified operation region. Usually, the switched control has no bound on the frequency of the feedback gains switching, and this can lead to chattering, which is manifested by infinitely fast frequency of the feedback gains switching. In order to avoid the chattering in the switched control, this work proposes a new technique to smooth the switched control, the smooth switched control. This new control law can be used under the same conditions as the switched control and it is based on the concept of smooth minimum, which is defined in this work. In addition, design procedures considering disturbances for both switched and smooth switched control laws are proposed. Furthermore, in this work it is also presented an implementation of the proposed switched control law in a Ball Balancer system manufactured by Quanser.
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Tse, Wilfred See Foon. "Linear equivalents of nonlinear systems." Thesis, University of British Columbia, 1987. http://hdl.handle.net/2429/26652.

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Consider the following nonlinear system [Formula Omitted] where ϰ ∈ Rⁿ, f, ℊ₁,…,ℊｍ are C∞ function in Rⁿ and ℎ is a C∞ function in R⍴, all defined on a neighborhood of 0. The problem of finding a necessary and sufficient condition such that system (1) can be transformed to a linear controllable system by a state coordinate change and feedback has been studied quite well. In this thesis, we first discuss a few different approaches to this problem and eventually we will show that the slightly different versions of the necessary and sufficient condition discovered are equivalent. Next we consider system (1) with all սi,= 0 together with system (2), and study the dual problem of transforming it to a linear observable system by a state and output coordinate change. Finally, we consider briefly system (l) and (2) with nonzero սi and study the problem of transforming it to a linear system that is both completely controllable and observable. Examples are given and applications to local stabilization and estimation are discussed.
Science, Faculty of
Mathematics, Department of
Graduate
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8

Enqvist, Martin. "Linear Models of Nonlinear Systems." Doctoral thesis, Linköping : Linköpings universitet, 2005. http://urn.kb.se/resolve?urn=urn:nbn:se:liu:diva-5330.

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Lutz, Collin C. "Switched Markov Jump Linear Systems: Analysis and Control Synthesis." Diss., Virginia Tech, 2014. http://hdl.handle.net/10919/50859.

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Markov jump linear systems find application in many areas including economics, fault-tolerant control, and networked control. Despite significant attention paid to Markov jump linear systems in the literature, few authors have investigated Markov jump linear systems with time-inhomogeneous Markov chains (Markov chains with time-varying transition probabilities), and even fewer authors have considered time-inhomogeneous Markov chains with a priori unknown transition probabilities. This dissertation provides a formal stability and disturbance attenuation analysis for a Markov jump linear system where the underlying Markov chain is characterized by an a priori unknown sequence of transition probability matrices that assumes one of finitely-many values at each time instant. Necessary and sufficient conditions for uniform stochastic stability and uniform stochastic disturbance attenuation are reported. In both cases, conditions are expressed as a set of finite-dimensional linear matrix inequalities (LMIs) that can be solved efficiently. These finite-dimensional LMI analysis results lead to nonconservative LMI formulations for optimal controller synthesis with respect to disturbance attenuation. As a special case, the analysis also applies to a Markov jump linear system with known transition probabilities that vary in a finite set.
Ph. D.
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Samavat, Mohmoud. "Robust control of nonlinear systems." Thesis, University of Sheffield, 2000. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.327647.

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Books on the topic "Switched linear/nonlinear systems"

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Sun, Zhendong, and Shuzhi Sam Ge. Switched Linear Systems. London: Springer London, 2005. http://dx.doi.org/10.1007/1-84628-131-8.

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1968-, Sun Zhendong, ed. Switched linear systems: Control and design. New York: Springer, 2004.

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Fu, Jun, and Tai-Fang Li. Event-Triggered Control of Switched Linear Systems. Cham: Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-71604-2.

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Du, Dongsheng, Bin Jiang, and Peng Shi. Fault Tolerant Control for Switched Linear Systems. Cham: Springer International Publishing, 2015. http://dx.doi.org/10.1007/978-3-319-15162-5.

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Enqvist, Martin. Linear models of nonlinear systems. Linköping: Linköpings universitet, 2005.

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Vidyasagar, M. Non-linear systems analysis. 2nd ed. London: Prentice-Hall International (UK), 1993.

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Yang, Hao, Bin Jiang, and Vincent Cocquempot. Stabilization of Switched Nonlinear Systems with Unstable Modes. Cham: Springer International Publishing, 2014. http://dx.doi.org/10.1007/978-3-319-07884-7.

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Billings, S. A. Piecewise linear identification of nonlinear systems. Sheffield: University,Dept. of Control Engineering, 1986.

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Robertini, Alessandro. Linear and nonlinear distortion in SC circuits due to nonideal amplifiers and switches. Konstanz: Hartung-Gorre, 1991.

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Zhang, Lixian, Yanzheng Zhu, Peng Shi, and Qiugang Lu. Time-Dependent Switched Discrete-Time Linear Systems: Control and Filtering. Cham: Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-28850-5.

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Book chapters on the topic "Switched linear/nonlinear systems"

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Moldovan, Melania M., and M. Seetharama Gowda. "On Common Linear/Quadratic Lyapunov Functions for Switched Linear Systems." In Nonlinear Analysis and Variational Problems, 415–29. New York, NY: Springer New York, 2009. http://dx.doi.org/10.1007/978-1-4419-0158-3_25.

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Du, Dongsheng, Bin Jiang, and Peng Shi. "Fault Estimation for Nonlinear Continuous-Time Switched Systems." In Fault Tolerant Control for Switched Linear Systems, 79–88. Cham: Springer International Publishing, 2015. http://dx.doi.org/10.1007/978-3-319-15162-5_6.

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Fu, Jun, and Tai-Fang Li. "Reliable Control for a Class of Switched Nonlinear Systems." In Event-Triggered Control of Switched Linear Systems, 131–41. Cham: Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-71604-2_8.

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Fu, Jun, and Tai-Fang Li. "Fault-Tolerant Control for a Class of Uncertain Switched Nonlinear Systems." In Event-Triggered Control of Switched Linear Systems, 143–52. Cham: Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-71604-2_9.

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Cheng, Daizhan, Xiaoming Hu, and Tielong Shen. "Switched Systems." In Analysis and Design of Nonlinear Control Systems, 431–508. Berlin, Heidelberg: Springer Berlin Heidelberg, 2010. http://dx.doi.org/10.1007/978-3-642-11550-9_15.

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Petreczky, Mihaly, Aneel Tanwani, and Stephan Trenn. "Observability of Switched Linear Systems." In Hybrid Dynamical Systems, 205–40. Cham: Springer International Publishing, 2014. http://dx.doi.org/10.1007/978-3-319-10795-0_8.

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Babaali, Mohamed, and Magnus Egerstedt. "Observability of Switched Linear Systems." In Hybrid Systems: Computation and Control, 48–63. Berlin, Heidelberg: Springer Berlin Heidelberg, 2004. http://dx.doi.org/10.1007/978-3-540-24743-2_4.

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Bokor, József, and Zoltán Szabó. "Bimodal and Linear Switched Systems." In Robust Control and Linear Parameter Varying Approaches, 55–85. Berlin, Heidelberg: Springer Berlin Heidelberg, 2013. http://dx.doi.org/10.1007/978-3-642-36110-4_3.

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Pilipchuk, Valery N. "NSTT for Linear and Piecewise-Linear Systems." In Nonlinear Dynamics, 145–78. Berlin, Heidelberg: Springer Berlin Heidelberg, 2010. http://dx.doi.org/10.1007/978-3-642-12799-1_6.

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Alwan, Mohamad S., and Xinzhi Liu. "Switched Singularly Perturbed Systems with Time Delay." In Nonlinear Physical Science, 165–76. Singapore: Springer Singapore, 2018. http://dx.doi.org/10.1007/978-981-10-8046-3_9.

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Conference papers on the topic "Switched linear/nonlinear systems"

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Agarwal, Etika, S. Sivaranjani, and Panos J. Antsaklis. "Feedback passivation of nonlinear switched systems using linear approximations." In 2017 Indian Control Conference (ICC). IEEE, 2017. http://dx.doi.org/10.1109/indiancc.2017.7846444.

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Fursov, Andrey, and Yulia Mosolova. "Switched linear system stabilization under parametric uncertainty." In 2020 15th International Conference on Stability and Oscillations of Nonlinear Control Systems (Pyatnitskiy's Conference) (STAB). IEEE, 2020. http://dx.doi.org/10.1109/stab49150.2020.9140499.

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Lachheb, Aymen, Jalel Khediri, and Lilia El Amraoui. "Nonlinear model based on inductance for switched reluctance linear motor." In 2018 International Conference on Advanced Systems and Electric Technologies (IC_ASET). IEEE, 2018. http://dx.doi.org/10.1109/aset.2018.8379853.

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Balle, S., M. San Miguel, and N. B. Abraham. "Transient statistics in the switch-on of class B lasers." In Nonlinear Dynamics in Optical Systems. Washington, D.C.: Optica Publishing Group, 1992. http://dx.doi.org/10.1364/nldos.1992.fa4.

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The transient evolution of the output of a single-mode class B laser (SML) after it is switched-on has been characterized from an experimental point of view by the evolution of the output intensity,[1, 2] both in the linear and non-linear regimes. However, from a theoretical point of view the characterization of the transient statistics of a SML beyond the linear regime has not been considered in detail. [3-5] Nevertheless, it has been possible to analyze both the linear and non-linear regimes for class A lasers,[6] showing that the transient statistics during the non-linear regime constitute a mapping of the transient statistics in the linear regime. In this case, an approximate solution for a switch-on event can be constructed (QDT approximation, [7]) which allows to examine the correspondence between the transient statatistics in both regimes. The main difficulty for a SML arises from the fact that no analytical solution of the deterministic rate equations is known, though it has been shown numerically[3, 4] that the QDT approximation succesfully explains the transient statistics in both the linear and non-linear regimes. Accordingly, we expect that the transient statistics in the non-linear regime can be understood as a mapping of the Passage Time (PT) statistics. The reason is that the random PT t* - defined as the time when the intensity reaches a reference value I r – determines both the beginning of a deterministic stage of evolution and the initial conditions for this period,[3-5] which lasts until the vicinity of the asymptotic steady state is reached.
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Duan, Chang, and Fen Wu. "Output Feedback Control for Continuous-Time Switched Linear Systems Subject to Actuator Saturation." In ASME 2011 Dynamic Systems and Control Conference and Bath/ASME Symposium on Fluid Power and Motion Control. ASMEDC, 2011. http://dx.doi.org/10.1115/dscc2011-5925.

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This paper is devoted to output feedback ℋ∞ control problem for continuous-time switched linear systems subject to actuator saturation. Using minimal switching rule, nonlinear output feedbacks, expressed in the form of quasi-linear parameter varying system are designed to satisfy a pre-specified disturbance attenuation level defined by the regional ℒ2 gains over a class of energy-bounded disturbances. The synthesis condition is further simplified and can be solved through efficient LMI optimizations. The proposed switched control approach is also illustrated by a simple example.
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Bird, Trevor, Catherine Weaver, and Neera Jain. "Switched Linear Model of a Stratified Hot Water Tank for Control of Micro-CHP Systems." In ASME 2019 Dynamic Systems and Control Conference. American Society of Mechanical Engineers, 2019. http://dx.doi.org/10.1115/dscc2019-9236.

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Abstract We present a switched linear system approach for modeling the complex nonlinear dynamics associated with temperature inversion occurring in thermally stratified hot water tanks. Such tanks are commonly used for thermal energy storage, particularly in low- to medium-temperature waste heat recovery applications. By separating the influence of temperature inversion from the internal heat transfer between states in the governing differential equations, we paramaterize the nonlinearity using a vector of discrete variables. This vector is then used to define the switching between a set of linear, discrete time models. The proposed switched model is validated against a reduced-order nonlinear model of the thermal energy storage and then integrated with a fuel cell model to capture the dynamics of a micro-combined heat and power system. Simulation results demonstrate the importance that temperature inversion has on the stratification dynamics which in turn has implications for control of such systems.
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Burkart, Ralph, Kostas Margellos, and John Lygeros. "Nonlinear control of wind turbines: An approach based on switched linear systems and feedback linearization." In 2011 50th IEEE Conference on Decision and Control and European Control Conference (CDC-ECC 2011). IEEE, 2011. http://dx.doi.org/10.1109/cdc.2011.6160709.

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Ohta, Hiroshi, and Tokukoh Oki. "290-Femtosecond Optical Pulse Generation using Gain-Switched Laser Diode with Nonlinear Optical Loop Mirror." In Nonlinear Guided Waves and Their Applications. Washington, D.C.: Optica Publishing Group, 1995. http://dx.doi.org/10.1364/nlgw.1995.nsaa4.

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Recently, subpicosecond optical pulses from laser diodes (LDs) have been necessary for ultrahigh-speed transmission, optical and electrooptical sampling systems, spectroscopy, etc. The most studied method to generate such pulses is the erbium-doped fiber laser.[1] However, with this method it is difficult for some applications to change the repetition rate of the pulses. Another common method under study is the gain switching scheme which has the advantage of controllability of repetition rate, but the disadvantage of a pulse width of several ten-picoseconds or more. While compression schemes for gain switching pulses using linear compression fibers and soliton compression fibers have been successfully proposed, the generated pulse is not always transform limited, and has pedestals.[2]
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Valle, A., L. Pesquera, and M. A. Rodríguez. "Pulse statistics of modulated gas lasers." In Nonlinear Dynamics in Optical Systems. Washington, D.C.: Optica Publishing Group, 1992. http://dx.doi.org/10.1364/nldos.1992.tuc28.

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Pulse statistics of modulated class A single mode lasers is analyzed both numerically and analytically. The time evolution of the electric field is described by the following equation where a is the pump parameter and ψ is the spontaneous emission noise of intensity D. An analytic approximation is developed for the switch-on time probability density. In this approximation the time evolution is divided in two regimes: a linear one with noise, where saturation is not important, and a nonlinear deterministic domain. Using a kind of self-consistency condition for the switch–on time probability density P(t), an integral equation is derived for P(t). Numerical simulations show that this approximation is very accurate (see Fig.1).
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Oliveira, T. R., P. F. Donoso-Garcia, S. I. Seleme, and L. M. F. Morais. "Comparative study of linear and nonlinear passivity-based control methods for switched-mode power supplies in audio amplification systems." In IECON 2011 - 37th Annual Conference of IEEE Industrial Electronics. IEEE, 2011. http://dx.doi.org/10.1109/iecon.2011.6119363.

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Reports on the topic "Switched linear/nonlinear systems"

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Sontag, Eduardo D. Regulation of Nonlinear and Generalized Linear Systems. Fort Belvoir, VA: Defense Technical Information Center, September 1988. http://dx.doi.org/10.21236/ada207725.

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Morse, A. S. Adaptive Stabilization of Linear and Nonlinear Systems. Fort Belvoir, VA: Defense Technical Information Center, March 1994. http://dx.doi.org/10.21236/ada278270.

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Helton, J. W. H Infinity Control for Nonlinear and Linear Systems. Fort Belvoir, VA: Defense Technical Information Center, March 1994. http://dx.doi.org/10.21236/ada280450.

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Sontag, Eduardo D. Analysis and Regulation of Nonlinear and Generalized Linear Systems. Fort Belvoir, VA: Defense Technical Information Center, September 1985. http://dx.doi.org/10.21236/ada168615.

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McWilliams, J. Algebraic coarsening methods for linear and nonlinear PDE and systems. Office of Scientific and Technical Information (OSTI), November 2000. http://dx.doi.org/10.2172/15013125.

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Emre, Erol. On a Theory of Control for Linear Systems Over Rings and Nonlinear/Time-Varying Systems. Fort Belvoir, VA: Defense Technical Information Center, September 1985. http://dx.doi.org/10.21236/ada162680.

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Walker, H. F. Iterative methods for large scale nonlinear and linear systems. Final report, 1994--1996. Office of Scientific and Technical Information (OSTI), September 1997. http://dx.doi.org/10.2172/527567.

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Park, HeeHo Daniel. Innovative Linear and Nonlinear Solvers for Simulating Multiphase Flow within Large-Scale Engineered Subsurface Systems. Office of Scientific and Technical Information (OSTI), October 2019. http://dx.doi.org/10.2172/1570403.

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Wu, Yingjie, Selim Gunay, and Khalid Mosalam. Hybrid Simulations for the Seismic Evaluation of Resilient Highway Bridge Systems. Pacific Earthquake Engineering Research Center, University of California, Berkeley, CA, November 2020. http://dx.doi.org/10.55461/ytgv8834.

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Bridges often serve as key links in local and national transportation networks. Bridge closures can result in severe costs, not only in the form of repair or replacement, but also in the form of economic losses related to medium- and long-term interruption of businesses and disruption to surrounding communities. In addition, continuous functionality of bridges is very important after any seismic event for emergency response and recovery purposes. Considering the importance of these structures, the associated structural design philosophy is shifting from collapse prevention to maintaining functionality in the aftermath of moderate to strong earthquakes, referred to as “resiliency” in earthquake engineering research. Moreover, the associated construction philosophy is being modernized with the utilization of accelerated bridge construction (ABC) techniques, which strive to reduce the impact of construction on traffic, society, economy and on-site safety. This report presents two bridge systems that target the aforementioned issues. A study that combined numerical and experimental research was undertaken to characterize the seismic performance of these bridge systems. The first part of the study focuses on the structural system-level response of highway bridges that incorporate a class of innovative connecting devices called the “V-connector,”, which can be used to connect two components in a structural system, e.g., the column and the bridge deck, or the column and its foundation. This device, designed by ACII, Inc., results in an isolation surface at the connection plane via a connector rod placed in a V-shaped tube that is embedded into the concrete. Energy dissipation is provided by friction between a special washer located around the V-shaped tube and a top plate. Because of the period elongation due to the isolation layer and the limited amount of force transferred by the relatively flexible connector rod, bridge columns are protected from experiencing damage, thus leading to improved seismic behavior. The V-connector system also facilitates the ABC by allowing on-site assembly of prefabricated structural parts including those of the V-connector. A single-column, two-span highway bridge located in Northern California was used for the proof-of-concept of the proposed V-connector protective system. The V-connector was designed to result in an elastic bridge response based on nonlinear dynamic analyses of the bridge model with the V-connector. Accordingly, a one-third scale V-connector was fabricated based on a set of selected design parameters. A quasi-static cyclic test was first conducted to characterize the force-displacement relationship of the V-connector, followed by a hybrid simulation (HS) test in the longitudinal direction of the bridge to verify the intended linear elastic response of the bridge system. In the HS test, all bridge components were analytically modeled except for the V-connector, which was simulated as the experimental substructure in a specially designed and constructed test setup. Linear elastic bridge response was confirmed according to the HS results. The response of the bridge with the V-connector was compared against that of the as-built bridge without the V-connector, which experienced significant column damage. These results justified the effectiveness of this innovative device. The second part of the study presents the HS test conducted on a one-third scale two-column bridge bent with self-centering columns (broadly defined as “resilient columns” in this study) to reduce (or ultimately eliminate) any residual drifts. The comparison of the HS test with a previously conducted shaking table test on an identical bridge bent is one of the highlights of this study. The concept of resiliency was incorporated in the design of the bridge bent columns characterized by a well-balanced combination of self-centering, rocking, and energy-dissipating mechanisms. This combination is expected to lead to minimum damage and low levels of residual drifts. The ABC is achieved by utilizing precast columns and end members (cap beam and foundation) through an innovative socket connection. In order to conduct the HS test, a new hybrid simulation system (HSS) was developed, utilizing commonly available software and hardware components in most structural laboratories including: a computational platform using Matlab/Simulink [MathWorks 2015], an interface hardware/software platform dSPACE [2017], and MTS controllers and data acquisition (DAQ) system for the utilized actuators and sensors. Proper operation of the HSS was verified using a trial run without the test specimen before the actual HS test. In the conducted HS test, the two-column bridge bent was simulated as the experimental substructure while modeling the horizontal and vertical inertia masses and corresponding mass proportional damping in the computer. The same ground motions from the shaking table test, consisting of one horizontal component and the vertical component, were applied as input excitations to the equations of motion in the HS. Good matching was obtained between the shaking table and the HS test results, demonstrating the appropriateness of the defined governing equations of motion and the employed damping model, in addition to the reliability of the developed HSS with minimum simulation errors. The small residual drifts and the minimum level of structural damage at large peak drift levels demonstrated the superior seismic response of the innovative design of the bridge bent with self-centering columns. The reliability of the developed HS approach motivated performing a follow-up HS study focusing on the transverse direction of the bridge, where the entire two-span bridge deck and its abutments represented the computational substructure, while the two-column bridge bent was the physical substructure. This investigation was effective in shedding light on the system-level performance of the entire bridge system that incorporated innovative bridge bent design beyond what can be achieved via shaking table tests, which are usually limited by large-scale bridge system testing capacities.
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