Relevant bibliographies by topics / Optimal discrete-time sliding mode

Academic literature on the topic 'Optimal discrete-time sliding mode'

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Published: 6 September 2023

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Journal articles on the topic "Optimal discrete-time sliding mode"

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Koshkouei, A. Jafari, and A. S. I. Zinober. "Sliding Mode Control of Discrete-Time Systems." Journal of Dynamic Systems, Measurement, and Control 122, no. 4 (February 9, 2000): 793–802. http://dx.doi.org/10.1115/1.1321266.

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In discrete-time systems, instead of having a hyperplane as in the continuous case, there is a countable set of points comprising a so-called lattice; and the surface on which these sliding points lie is the latticewise hyperplane. In this paper the concept of multivariable discrete-time sliding mode is clarified and new sufficient conditions for the existence of the sliding mode are presented. A new control design using the properties of discrete sliding is proposed, and the behavior of the system in the sliding mode is studied. Furthermore, the stabilization of discrete-time systems and an optimal sliding lattice are considered. [S0022-0434(00)02804-5]
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Bayindir, M. I., H. Can, Z. H. Akpolat, M. Ozdemir, and E. Akin. "Robust Quasi-time-optimal Discrete-time Sliding Mode Control of a Servomechanism." Electric Power Components and Systems 35, no. 8 (August 2007): 885–905. http://dx.doi.org/10.1080/15325000701199347.

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Janardhanan, S., and Vinay Kariwala. "Multirate-Output-Feedback-Based LQ-Optimal Discrete-Time Sliding Mode Control." IEEE Transactions on Automatic Control 53, no. 1 (February 2008): 367–73. http://dx.doi.org/10.1109/tac.2007.914293.

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Jedda, Olfa, and Ali Douik. "Optimal Discrete-time Integral Sliding Mode Control for Piecewise Affine Systems." International Journal of Control, Automation and Systems 17, no. 5 (May 2019): 1221–32. http://dx.doi.org/10.1007/s12555-017-0322-9.

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Zhang, D. Q., and G. X. Guo. "Discrete-time sliding mode proximate time optimal seek control of hard disk drives." IEE Proceedings - Control Theory and Applications 147, no. 4 (July 1, 2000): 440–46. http://dx.doi.org/10.1049/ip-cta:20000501.

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Ferraço, Igor B., Marco H. Terra, and João P. Cerri. "Optimal Sliding Mode Control via Penalty Approach for Discrete-Time Linear Systems." IFAC Proceedings Volumes 44, no. 1 (January 2011): 5513–18. http://dx.doi.org/10.3182/20110828-6-it-1002.03560.

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Lee, Seung-Hi. "SLIDING MODE PROXIMATE TIME-OPTIMAL SERVOMECHANISM." IFAC Proceedings Volumes 38, no. 1 (2005): 301–6. http://dx.doi.org/10.3182/20050703-6-cz-1902.00450.

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Jedda, Olfa, and Ali Douik. "Optimal Discrete-time Sliding Mode Control for Nonlinear Systems Subject to Input Constraints." Advances in Science, Technology and Engineering Systems Journal 4, no. 4 (2019): 141–46. http://dx.doi.org/10.25046/aj040417.

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Ignaciuk, Przemyslaw, and Andrzej Bartoszewicz. "Linear Quadratic Optimal Discrete-Time Sliding-Mode Controller for Connection-Oriented Communication Networks." IEEE Transactions on Industrial Electronics 55, no. 11 (November 2008): 4013–21. http://dx.doi.org/10.1109/tie.2008.921464.

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Sun, Nana, Yugang Niu, and Bei Chen. "Optimal integral sliding mode control for a class of uncertain discrete-time systems." Optimal Control Applications and Methods 35, no. 4 (July 15, 2013): 468–78. http://dx.doi.org/10.1002/oca.2082.

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Dissertations / Theses on the topic "Optimal discrete-time sliding mode"

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Algarawi, Mohammed. "Non-linear discrete-time observer design by sliding mode." Thesis, Brunel University, 2007. http://bura.brunel.ac.uk/handle/2438/5072.

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Research into observer design for non-linear discrete-time systems has produced many design methods. There is no general design method however and that provides the motivation to search for a new simple and realizable design method. In this thesis, an observer for non-linear discrete-time systems is designed using the sliding mode technique. The equation of the observer error is split into two parts; the first part being a linearized model of the system and the second part an uncertain vector. The sliding mode technique is introduced to eliminate the uncertainty caused by the uncertain vector in the observer error equation. By choosing the sliding surface and the boundary layer, the observer error is attracted to the sliding surface and stays within the sliding manifold. Therefore, the observer error converges to zero. The proposed technique is applied to two cases of observers for nonlinear discrete-time systems. The second case is chosen to be a particular practical system, namely the non-linear discrete-time ball and beam system. The simulations show that the sliding mode technique guarantees the convergence of the observer error for both systems.
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Koshkouei, Ali Jafari. "Continuous and discrete-time sliding mode control design techniques." Thesis, University of Sheffield, 1997. http://etheses.whiterose.ac.uk/15037/.

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Sliding mode control is a well-known approach to the problem of the control of uncertain systems, since it is invariant to a class of parameter variations. Well-established investigations have shown that the sliding mode controller/ observer is a good approach from the point of view of robustness, implementation, numerical stability, applicability, ease of design tuning and overall evaluation. In the sliding mode control approach, the controller and/ or observer is designed so that the state trajectory converges to a surface named the sliding surface. It is desired to design the sliding surface so that the system stability is achieved. Many new methods and design techniques for the sliding controller/ observer are presented in this thesis. LQ frequency shaping sliding mode is a way of designing the sliding surface and control. By using this method, corresponding to the weighting functions in conventional quadratic performance, a compensator can be designed. The intention of observer design is to find an estimate for the state and, if the input is unknown, estimate a suitable input. Using the sliding control input form, a suitable estimated input can be obtained. The significance of the observer design method in this thesis is that a discontinuous observer for full order systems, including disturbance inputs, is designed. The system may not be ideally in the sliding mode and the uncertainty may not satisfy the matching condition. In discrete-time systems instead of having a hyperplane as in the continuous case, there is a countable set of points comprising a so-called lattice; and the surface on which these sliding points lie is named the latticewise hyperplane. Control and observer design using the discrete-time sliding mode, the robust stability of the sliding mode dynamics and the problem of stabilization of discrete-time systems are also studied. The sliding mode control of time-delay systems is also considered. Time-delay sliding system stability is studied for the cases of full information about the delay and also lack of information. The sliding surface is delay-independent as for the traditional sliding surface, and the reaching condition is achieved by applying conventional discontinuous control. A well-known method of control design is to specify eigenvalues in a region in the left-hand half-plane, and to design the gain feedback matrix to yield these eigenvalues. This method can also be used to design the sliding gain matrix. The regions considered in this thesis are, a sector, an infinite vertical strip, a disc, a hyperbola and the intersection ii of two sectors. Previous erroneous results are rectified and new theory developed. The complex Riccati equation, positivity of a complex matrix and the control of complex systems are significant problems which arise in many control theory problems and are discussed in this thesis.
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Govindaswamy, Srinath. "Output sampling based sliding mode control for discrete time systems." Thesis, University of Kent, 2012. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.591931.

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This thesis concerns the development of output-based sliding mode control schemes for discrete time, linear time invariant systems. Unlike most of the work given in the literature in this area, the work is concemed with the development of static output feedback based discrete time sliding mode control schemes for non-minimum phase, non-square systems with arbitrary relative degree and which include unmatched uncertainties. The key concept of extended outputs in discrete time will be introduced. It will be shown that by identifying a minimal set of present and past outputs an augmented system can be obtained which permits the design of a sliding manifold based upon output information only, which renders the sliding manifold stable. Any transmission zeros of the augmented plant will also be shown to be among the transmission zeros of the original plant. It will also be shown that if the extended outputs chosen span the state zero directions of an invariant zero of the system, then the invariant zero disappears from the augmented system. Linear matrix inequalities are then used for sliding surface design. For non-minimum phase, non-square systems with unmatched uncertainties, it will be shown that in some cases the extended outputs can be chosen such that the effect of the disturbance on the sliding surface can be nullified. If this is possible, a procedure to obtain a Lyapunov matrix, which simultaneously satisfies a Riccati inequality and a structural constraint and which is used to formulate the control law that satisfies the reachability condition has been given. For the general case, where the sliding surface is a function of the disturbance, a control law will be chosen such that the effect of the disturbance on the augmented outputs and the sliding manifold will be minimized. Another key contribution of this work is the use of extended outputs for reconfigurable control under sensor loss. The reconfigurable control methodology presented in this work is in discrete time and is a static output feedback based control scheme, unlike most of the reconfigurable control schemes given in the literature which require an estimator and which are continuous time based schemes. Suitable examples, which include multiple sensor failures and a benchmark problem taken from the literature which represents the lateral dynamics of the F-14 aircraft, have been chosen to show the effectiveness of the proposed control design methodologies. - L Abstract T his thesis concerns the development of out put-based sliding mode control schemes for discrete time, linear time invariant systems. Unlike most of the work given in the literature in this area, the work is concerned with the development of static output feedback based discrete time sliding mode control schemes for non-minimum phase, non-square systems with arbitrary relative degree and which include unmatched uncertainties. The' key concept of extended outputs in discrete time will be introduced. It will be shown that by identifying a minimal set of present and past outputs an augmented system can be obtained which permits the design of a sliding manifold based upon output information only, which renders the sliding manifold stable. Any transmission zeros of the augmented plant will also be sho,wn to be among the transmission zeros of the original plant. It will also be shown that- if the extended outputs chosen span the state zero directions of an invariant zero of the system, then the invariant zero disappears from the augment.ed system. Linear matrix inequalities are then used for sliding surface design. For nonminimurn phase, non-square systems with unmatched uncertainties, it will be shown that in some cases the extended outputs can be chosen such ,that the effect of the disturbance on the sliding surface can be nullified. If this is possible, a procedure to obtain a Lyapunov matrix, which simultaneously satisfies a Riccati inequality and a structural constraint and which is used to formulate the control law t hat satisfies the reachability condit ion has been given. For the general case, where the sliding surface is a function of the disturbance, a control law will be chosen such that the effect of the disturbance on the augmented outputs and the sliding manifold will be minimized. Another key contribution of t his work is the use of extended outputs for reconfigurable control under sensor loss. The reconfigura~le control methodology presented in this work is in discrete time and is a static output feedback based control scheme, unlike most of t he reconfigurable control schemes given in the literature which require an estimator and which are continuous time based schemes. Suitable examples, which include multiple sensor failures and a benchmark problem taken from the literature which represents the lateral dynamics of the F-14 aircraft have been chosen to show the effectiveness of the proposed control design methodologies.
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Ferraço, Igor Breda. "Controle ótimo por modos deslizantes via função penalidade." Universidade de São Paulo, 2011. http://www.teses.usp.br/teses/disponiveis/18/18153/tde-09112011-161224/.

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Este trabalho aborda o problema de controle ótimo por modos deslizantes via função penalidade para sistemas de tempo discreto. Para resolver este problema será desenvolvido uma estrutura matricial alternativa baseada no problema de mínimos quadrados ponderados e funções penalidade. A partir desta nova formulação é possível obter a lei de controle ótimo por modos deslizantes, as equações de Riccati e a matriz do ganho de realimentação através desta estrutura matricial alternativa. A motivação para propormos essa nova abordagem é mostrar que é possível obter uma solução alternativa para o problema clássico de controle ótimo por modos deslizantes.
This work introduces a penalty function approach to deal with the optimal sliding mode control problem for discrete-time systems. To solve this problem an alternative array structure based on the problem of weighted least squares penalty function will be developed. Using this alternative matrix structure, the optimal sliding mode control law of, the matrix Riccati equations and feedback gain were obtained. The motivation of this new approach is to show that it is possible to obtain an alternative solution to the classic problem of optimal sliding mode control.
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Li, Yufeng. "High precision motion control based on a discrete-time sliding mode approach." Doctoral thesis, KTH, Machine Design, 2001. http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-3293.

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Wang, Bin, and s3115026@student rmit edu au. "On Discretization of Sliding Mode Control Systems." RMIT University. Electrical and Computer Engineering, 2008. http://adt.lib.rmit.edu.au/adt/public/adt-VIT20080822.145013.

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Sliding mode control (SMC) has been successfully applied to many practical control problems due to its attractive features such as invariance to matched uncertainties. The characteristic feature of a continuous-time SMC system is that sliding mode occurs on a prescribed manifold, where switching control is employed to maintain the state on the surface. When a sliding mode is realized, the system exhibits some superior robustness properties with respect to external matched uncertainties. However, the realization of the ideal sliding mode requires switching with an infinite frequency. Control algorithms are now commonly implemented in digital electronics due to the increasingly affordable microprocessor hardware although the essential conceptual framework of the feedback design still remains to be in the continuous-time domain. Discrete sliding mode control has been extensively studied to address some basic questions associated with the sliding mode control of discrete-time systems with relatively low switching frequencies. However, the complex dynamical behaviours due to discretization in continuous-time SMC systems have not yet been fully explored. In this thesis, the discretization behaviours of SMC systems are investigated. In particular, one of the most frequently used discretization schemes for digital controller implementation, the zero-order-holder discretization, is studied. First, single-input SMC systems are discretized, stability and boundary conditions of the digitized SMC systems are derived. Furthermore, some inherent dynamical properties such as periodic phenomenon, of the discretized SMC systems are studied. We also explored the discretization behaviours of the disturbed SMC systems. Their steady-state behaviours are discussed using a symbolic dynamics approach under the constant and periodic matched uncertainties. Next, discretized high-order SMC systems and sliding mode based observers are explored using the same analysis method. At last, the thesis investigates discretization effects on the SMC systems with multiple inputs. Some conditions are first derived for ensuring the
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Lai, Nai One. "Robust discrete time output feedback sliding mode control with application to aircraft systems." Thesis, University of Leicester, 2005. http://hdl.handle.net/2381/30228.

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This thesis describes the development of robust discrete time sliding mode controllers where only output information is available. A connection between discrete time sliding mode controllers and so-called min-max controllers is described. New conditions for the existence of stabilizing output feedback discrete time sliding mode controllers are given for non-square systems with bounded matched uncertainties. A novel sliding surface is described; this in itself is not realizable through outputs alone, but it gives rise to a control law which depends only on outputs. An explicit procedure is also described which shows how a Lyapunov matrix, which satisfies both a discrete Riccati inequality and a structural constraint, can be obtained using LMI optimization. This Lyapunov matrix is used to calculate the robustness bounds associated with the closed-loop system.;For systems which are not static output feedback stabilisable, a compensation scheme is proposed and a dynamic output feedback discrete time sliding mode controller is described with a simple parameterisation of the available design freedom.;Initially, a regulation problem, to drive all plant states to zero, is considered. Then a new scheme which incorporates tracking control using integral action is proposed for both the static and dynamic output feedback discrete time sliding mode controller. The scheme requires only that the plant has no poles or zeros at the origin and therefore with an appropriate choice of surface, the controller can be applied to non-minimum phase systems.;The theory described is demonstrated for various engineering systems including implementation on a DC-motor rig in real-time and simulations on a nonlinear, non-minimum phase model of a Planar Vertical Take-Off and Landing aircraft. The effectiveness of the controller is further proven by its application for control of the longitudinal dynamics of a detailed combat aircraft model call the high Incidence Research Model, a benchmark problem used by the Group for Aeronautical Research and Technology in Europe. Simulations with real-time pilot input commands have been carried out on a Real Time All Vehicle Simulator and good results obtained.
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Aitken, Victor C. (Victor Charles) Carleton University Dissertation Engineering Systems and Computer. "Sliding mode state estimation for nonlinear discrete-time systems; applications in image sequence analysis." Ottawa, 1995.

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Godoi, Dias Milena Sabrina [Verfasser]. "Discrete time sliding mode control strategies applied to a multiphase brushless DC machine / Milena Sabrina Godoi Dias." Kassel : Kassel University Press, 2017. http://d-nb.info/1138291099/34.

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Paula, André Luiz Alexandre de. "Detecção e acomodação de falhas em sistemas incertos com atraso no sinal de controle utilizando modo deslizante /." Ilha Solteira : [s.n.], 2011. http://hdl.handle.net/11449/87149.

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Orientador: José Paulo Fernandes Garcia
Banca: Jean Marcos de Souza Ribeiro
Banca: Cristiano Quevedo Andrea
Resumo: Usando dois controladores digitais com modos deslizantes, é proposto neste trabalho dois esquemas que minimizam os efeitos degenerativos causados pelo atraso no tempo de compu- tação do sinal de controle, que aqui é tratado como falha. Um observador robusto com modos deslizantes é utilizado neste trabalho, uma vez que nem sempre é possível ter acesso a todos os estados do sistema. Neste trabalho o observador tem um papel fundamental na detecção e acomodação da falha, pois através de um banco de observadores é gerado um resíduo que pos- sibilita a detecção da falha e determina qual controlador deve estar atuando sobre o sistema a ser controlado. Para validar os métodos propostos, são realizadas simulações e experimentos nos modelos do pêndulo invertido e no helicóptero 3DOF; ambos equipamentos da Quanser
Abstract: Using two digital controllers with sliding mode schemes that minimizes the degenerative effects caused by the delay in the computation time of the control signal are proposed in this work, which is here treated as failure. A robust observer with sliding mode is shown in this work, since it is not always possible to have access to all system states, but in this work the observer has a key role in the failure detection and accommodation, as observers are generated through a residue that directs the performance of the controller on the system being controlled. To test the proposed methods, simulations and experiments are performed on models of the inverted pendulum and the helicopter 3DOF, both Quanser equipment
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Books on the topic "Optimal discrete-time sliding mode"

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Sharma, Nalin Kumar, and Janardhanan Sivaramakrishnan. Discrete-Time Higher Order Sliding Mode. Cham: Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-00172-8.

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Patel, Keyurkumar, and Axaykumar Mehta. Discrete-Time Sliding Mode Protocols for Discrete Multi-Agent System. Singapore: Springer Singapore, 2021. http://dx.doi.org/10.1007/978-981-15-6311-9.

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Shah, Dipesh H., and Axaykumar Mehta. Discrete-Time Sliding Mode Control for Networked Control System. Singapore: Springer Singapore, 2018. http://dx.doi.org/10.1007/978-981-10-7536-0.

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Singh, Satnesh, and S. Janardhanan. Discrete-Time Stochastic Sliding Mode Control Using Functional Observation. Cham: Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-32800-9.

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Mehta, Axaykumar, and Bijnan Bandyopadhyay. Frequency-Shaped and Observer-Based Discrete-time Sliding Mode Control. New Delhi: Springer India, 2015. http://dx.doi.org/10.1007/978-81-322-2238-5.

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Qayyum, S. Application of discrete time sliding mode control using derivative feedback. London: Universityof East London, 1995.

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India) IEEE International Workshop on Variable Structure Systems (12th 2012 Mumbai. 2012 12th International Workshop on Variable Structure Systems (VSS 2012): Mumbai, Maharashtra, India, 12-14 January 2012. Piscataway, NJ: IEEE, 2012.

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Mexico) IEEE International Workshop on Variable Structure Systems (11th 2010 Mexico City. 2010 11th International Workshop on Variable Structure Systems (VSS 2010): Mexico City, Mexico, 26-28 June 2010. Piscataway, NJ: IEEE, 2010.

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Discrete-time Sliding Mode Control. Berlin/Heidelberg: Springer-Verlag, 2006. http://dx.doi.org/10.1007/11524083.

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Li, Li, Ahmadreza Argha, Steven Su, Hung Tan Nguyen, and Branko George Celler. Advances in Discrete-Time Sliding Mode Control. Taylor & Francis Group, 2020.

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Book chapters on the topic "Optimal discrete-time sliding mode"

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Sharma, Nalin Kumar, and Janardhanan Sivaramakrishnan. "Optimal Discrete-Time Higher Order Sliding Mode." In Discrete-Time Higher Order Sliding Mode, 33–48. Cham: Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-030-00172-8_3.

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Romdhane, Houda, Khadija Dehri, and Ahmed Said Nouri. "Synthesis of an Optimal Sliding Function Using LMIs Approach for Time Delay Systems." In Applications of Sliding Mode Control, 73–86. Singapore: Springer Singapore, 2016. http://dx.doi.org/10.1007/978-981-10-2374-3_4.

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Munje, Ravindra, Balasaheb Patre, and Akhilanand Tiwari. "Discrete-Time Sliding Mode Control." In Energy Systems in Electrical Engineering, 127–44. Singapore: Springer Singapore, 2017. http://dx.doi.org/10.1007/978-981-10-3014-7_8.

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Abidi, Khalid, and Jian-Xin Xu. "Discrete-Time Sliding Mode Control." In Studies in Systems, Decision and Control, 9–61. Singapore: Springer Singapore, 2015. http://dx.doi.org/10.1007/978-981-287-478-8_2.

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Levant, Arie, and Miki Livne. "Discrete-Time Sliding-Mode-Based Differentiation." In Lecture Notes in Control and Information Sciences, 299–312. Berlin, Heidelberg: Springer Berlin Heidelberg, 2013. http://dx.doi.org/10.1007/978-3-642-36986-5_15.

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Yu, Wen, and Satyam Paul. "Discrete-Time Fuzzy Sliding-Mode Control." In Active Control of Bidirectional Structural Vibration, 79–96. Cham: Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-46650-3_5.

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Sharma, Nalin Kumar, and Janardhanan Sivaramakrishnan. "Discrete-Time Higher Order Sliding Mode." In Discrete-Time Higher Order Sliding Mode, 15–32. Cham: Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-030-00172-8_2.

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Xu, Qingsong, and Kok Kiong Tan. "Model Predictive Discrete-Time Sliding-Mode Control." In Advances in Industrial Control, 79–104. Cham: Springer International Publishing, 2015. http://dx.doi.org/10.1007/978-3-319-21623-2_4.

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Sharma, Nalin Kumar, and Janardhanan Sivaramakrishnan. "Adaptive Discrete-Time Higher Order Sliding Mode." In Discrete-Time Higher Order Sliding Mode, 71–81. Cham: Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-030-00172-8_5.

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Sharma, Nalin Kumar, and Janardhanan Sivaramakrishnan. "Stochastic Discrete-Time Higher Order Sliding Mode." In Discrete-Time Higher Order Sliding Mode, 83–94. Cham: Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-030-00172-8_6.

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Conference papers on the topic "Optimal discrete-time sliding mode"

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Dong, Rui, and Dong-wei Shi. "Optimal sliding mode design for nonlinear discrete-time systems." In 2011 IEEE International Conference on Computer Science and Automation Engineering (CSAE). IEEE, 2011. http://dx.doi.org/10.1109/csae.2011.5952754.

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Jedda, Olfa, and Ali Douik. "Optimal Discrete-Time Sliding Mode Control for Nonlinear Systems." In 2018 15th International Multi-Conference on Systems, Signals & Devices (SSD). IEEE, 2018. http://dx.doi.org/10.1109/ssd.2018.8570376.

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Khandekar, A. A., and B. M. Patre. "Discrete sliding mode control based on optimal sliding surface for time delay systems." In 2012 Annual IEEE India Conference (INDICON). IEEE, 2012. http://dx.doi.org/10.1109/indcon.2012.6420593.

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Wonhee Kim, Ji Young Jeong, and Chung Choo Chung. "A modified discrete-time sliding mode control for proximate time-optimal servomechanisms." In 2012 American Control Conference - ACC 2012. IEEE, 2012. http://dx.doi.org/10.1109/acc.2012.6315062.

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Boukadida, Wafa, Anouar Benamor, and Hassani Messaoud. "Optimal sliding mode control for a class of uncertain discrete-time systems." In 2017 18th International Conference on Sciences and Techniques of Automatic Control and Computer Engineering (STA). IEEE, 2017. http://dx.doi.org/10.1109/sta.2017.8314886.

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Veselic, Boban, Branislava Drazenovic, and Cedomir Milosavljevic. "Optimal discrete-time integral sliding manifold design for linear systems subjected to a class of unmatched disturbances." In 2015 International Workshop on Recent Advances in Sliding Modes (RASM 2015). IEEE, 2015. http://dx.doi.org/10.1109/rasm.2015.7154586.

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Lopez-Franco, Michel, Edgar N. Sanchez, Alma Y. Alanis, Carlos Lopez-Franco, and Nancy Arana-Daniel. "Discrete-time decentralized inverse optimal neural control combined with sliding mode for mobile robots." In 2014 World Automation Congress (WAC). IEEE, 2014. http://dx.doi.org/10.1109/wac.2014.6936014.

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Antic, Dragan, Marko Milojkovic, Sasa Nikolic, and Stanisa Peric. "Optimal fuzzy sliding mode control with a time-varying sliding surface." In IEEE International Joint Conference on Computational Cybernetics and Technical Informatics (ICCC-CONTI 2010). IEEE 8th International Conference on Computational Cybernetics and 9th International Conference on Technical Informatics. IEEE, 2010. http://dx.doi.org/10.1109/icccyb.2010.5491311.

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Zheng, Minghui, and Masayoshi Tomizuka. "Discrete-Time H-Infinity Synthesis of Frequency-Shaped Sliding Mode Control for Suppression of Vibration With Multiple Peak Frequencies." In ASME 2016 Dynamic Systems and Control Conference. American Society of Mechanical Engineers, 2016. http://dx.doi.org/10.1115/dscc2016-9837.

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Abstract:
Vibration with multiple large peaks at high frequencies may cause significant performance degradation and have become a major concern in modern high precision control systems. To deal with such high-frequency peaks, it is proposed to design a frequency-shaped sliding mode controller based on H∞ synthesis. It obtains an ‘optimal’ filter to shape the sliding surface, and thus provides frequency-dependent control allocation. The proposed frequency-shaping method assures the stability in the presence of multiple-peak vibration sources, and minimizes the weighted H∞ norm of the sliding surface dynamics. The evaluation is performed on a simulated hard disk drive with actual vibration sources from experiments, and the effectiveness of large vibration peak suppression is demonstrated.
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10

Rui Dong, Gongyou Tang, and Yunrui Guo. "Optimal sliding mode control for uncertain systems with time delay." In 2010 Chinese Control and Decision Conference (CCDC). IEEE, 2010. http://dx.doi.org/10.1109/ccdc.2010.5498706.

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