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Journal articles on the topic 'Output controllability'

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Published: 8 June 2024

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1

Zhao, Yuyang, and Yang Liu. "Output controllability and observability of mix-valued logic control networks." Mathematical Modelling and Control 1, no. 3 (2021): 145–56. http://dx.doi.org/10.3934/mmc.2021013.

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<abstract><p>This paper focuses on output controllability and observability of mix-valued logic control networks (MLCNs), of which the updating of outputs is determined by both inputs and states via logical rules. First, as for output controllability, the number of different control sequences are derived to steer a MLCN from a given initial state to a destination output in a given number of time steps via semi-tensor product method. By construsting the output controllability matrix, criteria for the output controllability are obtained. Second, to solve the problem of observability, we construct an augmented MLCN with the same transition matrix, and use the set controllability approach to determine the observability of MLCNs. Finally, a hydrogeological example is presented to verify the obtained results.</p></abstract>

2

Tie, Lin. "Output-Controllability and Output-Near-Controllability of Driftless Discrete-Time Bilinear Systems." SIAM Journal on Control and Optimization 58, no. 4 (January 2020): 2114–42. http://dx.doi.org/10.1137/19m1286529.

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3

Naim, Mouhcine, Fouad Lahmidi, Abdelwahed Namir, and Mostafa Rachik. "On the Output Controllability of Positive Discrete Linear Delay Systems." Abstract and Applied Analysis 2017 (2017): 1–12. http://dx.doi.org/10.1155/2017/3651271.

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Necessary and sufficient conditions for output reachability and null output controllability of positive linear discrete systems with delays in state, input, and output are established. It is also shown that output reachability and null output controllability together imply output controllability.

4

Swei, Shan-Min, Tetsuya Iwasaki, and Martin Corless. "Quadratic Controllability, Strong Controllability, and A Related Output Feedback Property." SIAM Journal on Control and Optimization 39, no. 5 (January 2000): 1373–90. http://dx.doi.org/10.1137/s0363012999365108.

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5

Ananyev, Boris I. "OUTPUT CONTROLLABILITY OF DELAYED CONTROL SYSTEMS IN A LONG TIME HORIZON." Ural Mathematical Journal 8, no. 2 (December 29, 2022): 13. http://dx.doi.org/10.15826/umj.2022.2.002.

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In this paper, we consider the output controllability of finite-dimensional control systems governed by a distributed delayed control. For systems with ordinary controls, this problem was investigated earlier. Nevertheless, in many practical and technical problems the control acts with some delay. We give the necessary and sufficient condition for the output controllability. The main goal of our control is to govern the output of the system to some position on a subspace in a given instant, and then keep this output fixed for the remaining times. This property is called the long-time output controllability. For this, sufficient conditions are given. The introduced notions are applied for the investigation of averaged controllability of systems with delayed controls. The general approach for that is to approximate the system by the ordinary ones. Some examples are considered.

6

Riouali, Maryam, Fouad Lahmidi, and Abdelwahed Namir. "Output Monomial Reachability and Zero Output Controllability of Positive Switched Systems." International Journal of Mathematics and Mathematical Sciences 2020 (October 15, 2020): 1–6. http://dx.doi.org/10.1155/2020/3146974.

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In this paper, we present a sufficient condition for the output reachability of discrete-time positive switched systems. Besides, necessary and sufficient conditions for output monomial reachability and zero output controllability are provided. Further, some examples are shown.

7

Zhao, Bin, and Yongqiang Guan. "Data-sampling controllability of multi-agent systems." IMA Journal of Mathematical Control and Information 37, no. 3 (October 15, 2019): 794–813. http://dx.doi.org/10.1093/imamci/dnz026.

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Abstract In this paper, we consider data-sampling controllability of multi-agent systems (MASs), where the interconnection topology is directed and weighted and the nodes have generic linear kinetic dynamics. First, the asynchronous data sampling protocols and synchronous data sampling protocols are proposed, respectively. Then the discussions focus on deriving the necessary and sufficient conditions for data-sampling controllability of MASs with a single leader and multiple leaders. The criteria for data-sampling controllability are derived in terms of recursions of matrix multiplication. For the single-leader situation, the asynchronous data-sampling controllability is equivalently transformed to be the output controllability of a discrete linear system. For the multiple-leader situation, the asynchronous data-sampling controllability is equivalently transformed to be the output controllability of a discrete time-delayed linear system. Finally, the synchronous data-sampling controllability is discussed as a special case of asynchronous data-sampling controllability. Two numerical examples are given to illustrate the effectiveness of the theoretical results.

8

Li, Xiao Jing, and Ai Guo Wu. "Output Controllability of Buck Converter in DCM." Applied Mechanics and Materials 385-386 (August 2013): 1151–54. http://dx.doi.org/10.4028/www.scientific.net/amm.385-386.1151.

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In this paper, the model of Buck Converter in DCM is built based on the theories of Hybrid Systems and Switched Linear Systems firstly. Then the output controllability of Buck Converter is studied and its sufficient and necessary condition is given. In the end, the simulation analysis and verification are provided. The research results indicate that the output of Buck Converter can be stabilized at the setting value when the condition of output controllability is satisfied, on the contrary, the output can't be controlled stably.

9

Ouyadri, Mourad, Mohamed Laabissi, and Mohammed Elarbi Achhab. "Positive output controllability of linear discrete–time invariant systems." Control and Cybernetics 50, no. 4 (December 1, 2021): 521–39. http://dx.doi.org/10.2478/candc-2021-0029.

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Abstract This paper studies the output controllability of discrete linear time invariant systems (LTI) with non-negative input constraints. Some geometrical arguments and positive invariance concepts are used to derive the necessary and/or sufficient conditions for the positive output controllability of discrete LTI systems. The paper also provides several academic examples, which support the theoretical results.

10

Besenyei, Ádám, and Péter L. Simon. "Asymptotic output controllability via Dynamic Matrix Control." Differential Equations & Applications, no. 4 (2012): 521–38. http://dx.doi.org/10.7153/dea-04-30.

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11

Albrecht, F., K. Grasse, and N. Wax. "Path controllability of linear input-output systems." IEEE Transactions on Automatic Control 31, no. 6 (June 1986): 569–71. http://dx.doi.org/10.1109/tac.1986.1104322.

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12

Vinson, David R., and Christos Georgakis. "A New Measure of Process Output Controllability." IFAC Proceedings Volumes 31, no. 11 (June 1998): 663–72. http://dx.doi.org/10.1016/s1474-6670(17)45002-6.

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13

Vinson, David R., and Christos Georgakis. "A new measure of process output controllability." Journal of Process Control 10, no. 2-3 (April 2000): 185–94. http://dx.doi.org/10.1016/s0959-1524(99)00045-1.

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14

Lazar, Martin, and Jérôme Lohéac. "Output controllability in a long-time horizon." Automatica 113 (March 2020): 108762. http://dx.doi.org/10.1016/j.automatica.2019.108762.

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15

Wittmuess, Philipp, Michael Heidingsfeld, and Oliver Sawodny. "Optimal Actuator Design for Optimal Output Controllability." IFAC-PapersOnLine 49, no. 21 (2016): 234–39. http://dx.doi.org/10.1016/j.ifacol.2016.10.556.

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16

Danhane, Baparou, Jérôme Lohéac, and Marc Jungers. "Characterizations of output controllability for LTI systems." Automatica 154 (August 2023): 111104. http://dx.doi.org/10.1016/j.automatica.2023.111104.

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17

Zerrik, E., R. Larhrissi, and H. Bourray. "An Output Controllability Problem for Semilinear Distributed Hyperbolic Systems." International Journal of Applied Mathematics and Computer Science 17, no. 4 (December 1, 2007): 437–48. http://dx.doi.org/10.2478/v10006-007-0035-y.

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An Output Controllability Problem for Semilinear Distributed Hyperbolic SystemsThe paper aims at extending the notion of regional controllability developed for linear systems to the semilinear hyperbolic case. We begin with an asymptotically linear system and the approach is based on an extension of the Hilbert uniqueness method and Schauder's fixed point theorem. The analytical case is then tackled using generalized inverse techniques and converted to a fixed point problem leading to an algorithm which is successfully implemented numerically and illustrated with examples.

18

Deng, Lei, Shihua Fu, Ying Li, and Peiyong Zhu. "Robust Output Controllability Analysis and Control Design for Incomplete Boolean Networks with Disturbance Inputs." Mathematical Problems in Engineering 2018 (November 21, 2018): 1–9. http://dx.doi.org/10.1155/2018/2940105.

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This paper addresses the problems of robust-output-controllability and robust optimal output control for incomplete Boolean control networks with disturbance inputs. First, by resorting to the semi-tensor product technique, the system is expressed as an algebraic form, based on which several necessary and sufficient conditions for the robust output controllability are presented. Second, the Mayer-type robust optimal output control issue is studied and an algorithm is established to find a control scheme which can minimize the cost functional regardless of the effect of disturbance inputs. Finally, a numerical example is given to demonstrate the effectiveness of the obtained new results.

19

Alotaibi, Sorour, and Asad Alebrahim. "Geometric optimization of cross-flow heat exchanger based on dynamic controllability." Thermal Science 12, no. 3 (2008): 75–84. http://dx.doi.org/10.2298/tsci0803075a.

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The operation of heat exchangers and other thermal equipments in the face of variable loads is usually controlled by manipulating inlet fluid temperatures or mass flow rates, where the controlled variable is usually one of the output temperatures. The aim of this work is to optimize the geometry of a tube with internal flow of water and an external cross-flow of air, based on its controllability characteristics. Controllability is a useful concept both from theoretical and practical perspective since it tells us if a particular output can be controlled by a particular input. This concept can also provide us with information about the easiest operating condition to control a particular output. A transient model of a tube in cross-flow is developed, where an implicit formulation is used for transient numerical solutions. The aspect ratio of the tube is optimized, subject to volume constraints, based on the optimum operation in terms of controllability. The reported optimized aspect ratio, water mass flow rate and controllability are studied for deferent external properties of the tube.

20

Wang, Yanqing, and Zhiyong Yu. "On the partial controllability of SDEs and the exact controllability of FBSDES." ESAIM: Control, Optimisation and Calculus of Variations 26 (2020): 68. http://dx.doi.org/10.1051/cocv/2019052.

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A notion of partial controllability (also can be called directional controllability or output controllability) is proposed for linear controlled (forward) stochastic differential equations (SDEs), which characterizes the ability of the state to reach some given random hyperplane. It generalizes the classical notion of exact controllability. For time-invariant system, checkable rank conditions ensuring SDEs’ partial controllability are provided. With some special setting, the partial controllability for SDEs is proved to be equivalent to the exact controllability for linear controlled forward-backward stochastic differential equations (FBSDEs). Moreover, we obtain some equivalent conclusions to partial controllability for SDEs or exact controllability for FBSDEs, including the validity of observability inequalities for the adjoint equations, the solvability of some optimal control problems, the solvability of norm optimal control problems, and the non-singularity of a random version of Gramian matrix.

21

Zerrik, E., and A. Kamal. "Output Controllability for Semi-Linear Distributed Parabolic Systems." Journal of Dynamical and Control Systems 13, no. 2 (April 3, 2007): 289–306. http://dx.doi.org/10.1007/s10883-007-9014-8.

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22

Yadykin, Igor. "Spectral Decompositions of Gramians of Continuous Stationary Systems Given by Equations of State in Canonical Forms." Mathematics 10, no. 13 (July 4, 2022): 2339. http://dx.doi.org/10.3390/math10132339.

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The application of transformations of the state equations of continuous linear and bilinear systems to the canonical form of controllability allows one to simplify the computation of Gramians of these systems. In this paper, we develop the method and obtain algorithms for computation of the controllability and observability Gramians of continuous linear and bilinear stationary systems with many inputs and one output, based on the method of spectral expansion of the Gramians and the iterative method for computing the bilinear systems Gramians. An important feature of the concept is the idea of separability of the Gramians expansion: separate computation of the scalar and matrix parts of the spectral Gramian expansion reduces the sub-Gramian matrices computation to calculation of numerical sequences of their elements. For the continuous linear systems with one output the method and the algorithm of the spectral decomposition of the controllability Gramian are developed in the form of Xiao matrices. Analytical expressions for the diagonal elements of the Gramian matrices are obtained, and by making use of which the rest of the elements can be calculated. For continuous linear systems with many outputs the spectral decompositions of the Gramians in the form of generalized Xiao matrices are obtained, which allows us to significantly reduce the number of calculations. The obtained results are generalized for continuous bilinear systems with one output. Iterative spectral algorithms for computation of elements of Gramians of these systems are proposed. Examples are given that illustrate theoretical results.

23

Prepeliță, Valeriu, and Tiberiu Vasilache. "CONTROLLABILITY AND GRAMIANS OF 2D CONTINUOUS TIME LINEAR SYSTEMS." Annals of the Academy of Romanian Scientists Series on Mathematics and Its Application 12, no. 1-2 (2020): 364–81. http://dx.doi.org/10.56082/annalsarscimath.2020.1-2.364.

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The controllability of a class of 2D linear time varying continuous time control systems is studied. The state space representation is provided and the formulas of the states and the input-output map of these systems are derived. The fundamental concepts of controllability and reachability are analysed and suitable controllability and reachability Gramians are constructed to characterize the controllable and the reachable time varying systems. In the case of time invariant 2D systems, some algorithms are developed to calculate different controllability Gramians as solutions of adequate Lyapunov type equations. Corresponding Matlab programs are implemented to solve these Lyapunov equations.

24

Chen, Hao, and Jitao Sun. "Output controllability and optimal output control of state-dependent switched Boolean control networks." Automatica 50, no. 7 (July 2014): 1929–34. http://dx.doi.org/10.1016/j.automatica.2014.05.013.

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25

Danhane, Baparou, Jerome Loheac, and Marc Jungers. "Contributions to Output Controllability for Linear Time Varying Systems." IEEE Control Systems Letters 6 (2022): 1064–69. http://dx.doi.org/10.1109/lcsys.2021.3089642.

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26

Wu, Lin, Yichao Shen, Min Li, and Fang-Xiang Wu. "Network Output Controllability-Based Method for Drug Target Identification." IEEE Transactions on NanoBioscience 14, no. 2 (March 2015): 184–91. http://dx.doi.org/10.1109/tnb.2015.2391175.

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27

Babiarz, Artur, Adam Czornik, and Michał Niezabitowski. "Output controllability of the discrete-time linear switched systems." Nonlinear Analysis: Hybrid Systems 21 (August 2016): 1–10. http://dx.doi.org/10.1016/j.nahs.2015.12.004.

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28

Ekawati, Estiyanti, and Parisa A. Bahri. "Adaptation of output controllability index within dynamic operability framework." IFAC Proceedings Volumes 34, no. 25 (June 2001): 685–90. http://dx.doi.org/10.1016/s1474-6670(17)33904-6.

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29

Despotova, Desislava, Petko Kiriazov, and Stefan Karastanev. "Efficient control of mechatronic systems in dynamic motion tasks." MATEC Web of Conferences 145 (2018): 04001. http://dx.doi.org/10.1051/matecconf/201814504001.

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Robots and powered exoskeletons have often complex and non-linear dynamics due to friction, elasticity, and changing load. The proposed study addresses various-type robots that have to perform dynamic point-to-point motion tasks (PTPMT). The performance demands are for faster motion, higher positioning accuracy, and lower energy consumption. With given motion task, it is of primary importance to study the structure and controllability of the corresponding controlled system. The following natural decentralized controllability condition is assumed: the signs of any control input and the corresponding output (the acceleration) are the same, at least when the control input is at its maximum absolute value. Then we find explicit necessary and sufficient conditions on the control transfer matrix that can guarantee robust controllability in the face of arbitrary, but bounded disturbances. Further on, we propose a generic optimisation approach for control learning synthesis of various type robotic systems in PTPMT. Our procedure for iterative learning control (LC) has the following main steps: (1) choose a set of appropriate test control functions; (2) define the most relevant input-output pairs; and (3) solve shooting equations and perform control parameter optimisation. We will give several examples to explain our controllability and optimisation concepts.

30

Le Gall, Pierre, Christophe Prieur, and Lionel Rosier. "Exact controllability and output feedback stabilization of a bimorph mirror." ESAIM: Proceedings 25 (2008): 19–28. http://dx.doi.org/10.1051/proc:082502.

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31

Prattichizzo, D., P. Mercorelli, A. Bicchi, and A. Vicino. "On the Decoupling and Output Functional Controllability of Robotic Manipulation." IFAC Proceedings Volumes 30, no. 20 (September 1997): 289–94. http://dx.doi.org/10.1016/s1474-6670(17)44278-9.

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32

Eden, Jonathan, Ying Tan, Darwin Lau, and Denny Oetomo. "On the positive output controllability of linear time invariant systems." Automatica 71 (September 2016): 202–9. http://dx.doi.org/10.1016/j.automatica.2016.04.017.

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33

Murota, K., and S. Poljak. "Note on a graph-theoretic criterion for structural output controllability." IEEE Transactions on Automatic Control 35, no. 8 (1990): 939–42. http://dx.doi.org/10.1109/9.58507.

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34

Zhu Qi-Hua, Zhang Qing-Quan, Lü Jian-Tao, Wang Ke-Jia, Liu Jin-Song, and Yao Jian-Quan. "Controllability of random laser output waveshape under femtosecond laser pumping." Acta Physica Sinica 60, no. 7 (2011): 074203. http://dx.doi.org/10.7498/aps.60.074203.

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35

Chang, Wen-Jer, Chein-Chung Sun, and Chyun-Chau Fuh. "DISCRETE OUTPUT FUZZY CONTROLLER DESIGN FOR ACHIEVING COMMON CONTROLLABILITY GRAMIAN." Asian Journal of Control 2, no. 4 (October 22, 2008): 284–89. http://dx.doi.org/10.1111/j.1934-6093.2000.tb00034.x.

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36

Zubov, N. E., and V. N. Ryabchenko. "Reduction of Band Matrices in Large Dynamic Systems Controllability and Observability." Herald of the Bauman Moscow State Technical University. Series Natural Sciences, no. 4 (103) (August 2022): 39–49. http://dx.doi.org/10.18698/1812-3368-2022-4-39-49.

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An approach is proposed for linear stationary dynamical system with controllability and observability band matrices making it possible to simplify procedures for evaluating controllability and observability of this system. The obtained results are based on the fact that the controllability and observability criteria of a dynamic system are equivalent due to their required and sufficient properties; therefore, any transformations of one criterion not violating the conditions of necessity and sufficiency could be reduced to transformations in a sense equivalent to the initial transformations. The Popov --- Belevich --- Hautus transformations of the controllability and observability criteria were taken as a basis, and then results of such transformations were correctly extended to the band criteria. It was proved that the controllability and observability analysis of a linear stationary system with a large number of the state dimensions was reduced to studying the matrices rank of a much smaller size. The proposed approach is based on the existence condition for a numerical matrix of a certain rank of the nondegenerate matrices that satisfy certain transformations. The corresponding controllability and observability theorems for the stationary dynamical systems were provided. It was shown that for systems with one input and one output, the controllability and observability analysis was reduced to the analysis of scalars

37

Astrovskii, A. I., V. V. Goryachkin, and M. P. Dymkov. "On the сontrollability, observability, and optimization of discrete nonstationary linear Volterra systems." Proceedings of the National Academy of Sciences of Belarus. Physics and Mathematics Series 59, no. 3 (October 3, 2023): 213–23. http://dx.doi.org/10.29235/1561-2430-2023-59-3-213-223.

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In this article, we study discrete nonstationary linear dynamic systems of Volterra type. An essential feature of such kind of systems is that their current states depend on the previous states of this system. The formula Cauchy, which gives us the solution of linear Volterra systems with the control inputs, is obtained. The necessary and sufficient conditions of the pointwise controllability, pointwise output controllability, and observability are proven. Also the linear-quadratic optimization problem for the nonstationary Volterra control systems is studied.

38

De la Sen, M., S. Alonso-Quesada, and A. Ibeas. "On Controllability and Output-Controllability of a Class of Remote Learning Discrete Control Systems with Data Dropout Compensation." Applied Mechanics and Materials 391 (September 2013): 424–32. http://dx.doi.org/10.4028/www.scientific.net/amm.391.424.

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This paper discusses the controllability and output controllability properties of a linear control system subject to transmission errors from a tandem of remote controller and measurement sensor to the actuator subject to Bernouilli statistics. The controlled system incorporates a hierarchical control structure where the lower control level is a learning numerical control while the high control lever is a classical discrete feedback control acting at sampling instants. The controlled system is able to compensate certain missed data through the use of finite size fixed memory storage arrays which store the last valid data which has been transmitted so as to replace the current missed one in the control structures.

39

Sutrima, Sutrima, Christiana Rini Indrati, and Lina Aryati. "Exact Null Controllability, Stabilizability, and Detectability of Linear Nonautonomous Control Systems: A Quasisemigroup Approach." Abstract and Applied Analysis 2018 (November 1, 2018): 1–12. http://dx.doi.org/10.1155/2018/3791609.

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In the theory control systems, there are many various qualitative control problems that can be considered. In our previous work, we have analyzed the approximate controllability and observability of the nonautonomous Riesz-spectral systems including the nonautonomous Sturm-Liouville systems. As a continuation of the work, we are concerned with the analysis of stability, stabilizability, detectability, exact null controllability, and complete stabilizability of linear non-autonomous control systems in Banach spaces. The used analysis is a quasisemigroup approach. In this paper, the stability is identified by uniform exponential stability of the associated C0-quasisemigroup. The results show that, in the linear nonautonomous control systems, there are equivalences among internal stability, stabizability, detectability, and input-output stability. Moreover, in the systems, exact null controllability implies complete stabilizability.

40

Issa, Usama Hamed, and Muwaffaq Alqurashi. "A MODEL FOR EVALUATING CAUSES OF WASTES AND LEAN IMPLEMENTATION IN CONSTRUCTION PROJECTS." JOURNAL OF CIVIL ENGINEERING AND MANAGEMENT 26, no. 4 (April 9, 2020): 331–42. http://dx.doi.org/10.3846/jcem.2020.12323.

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The wastes in construction projects such as wastes in materials, time, resources and achieving customer needs can be minimized using the new philosophy of Lean Construction (LC). This paper proposed a two-level model based on fuzzy logic technique for evaluating Causes of Wastes (CWs) and lean implementation in construction projects. The probability of occurrence and importance of CWs were two input parameters in level 01 of the model, whereas the output was the level of waste. On the other hand, level 02 of the model depended on using three input parameters which were: level of waste, controllability level for CWs and lean implementation level, while the output was the lean effect. Several linguistic variables and logical rules were used for relating inputs and outputs and new indices were introduced. The model was applied and validated for data collected in two countries: Egypt and Kingdom of Saudi Arabia (KSA). Results demonstrated that the expected lean effect is found with a positive correlation with various levels of wastes and can be improved by increasing controllability and lean implementation levels. Regarding the comparative study between the two countries, distinct disparities in lean effect were clarified. Most measured CWs indices were different in both countries while indices values in KSA were higher than in Egypt either in waste, controllability or implementation levels. The results presented an optimum arrangement to reach an effective new lean evaluation model that could be implemented for moving the traditional construction towards LC. Finally, the model can be applied easily in most countries to help decision makers in evaluating CWs and lean implementation in their construction projects.

41

SAKIRMAN, S., T. BAKHTIAR, and A. KUSNANTO. "IDENTIFIKASI KONDISI KETERKONTROLAN BEBERAPA SISTEM PENDULUM." Journal of Mathematics and Its Applications 13, no. 2 (December 1, 2014): 63. http://dx.doi.org/10.29244/jmap.13.2.63-71.

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<p>Dalam teori pengendalian (control theory), keterkontrolan (controllability) merupakan isu penting, di mana dalam masalah pengendalian yang dihadapi, input kendali harus dicari sedemikian sehingga keadaan sistem (system state) atau output sistem bergerak </p>

42

Metel’skii, A. V. "Modal Controllability of a Delay Differential System by an Incomplete Output." Differential Equations 54, no. 11 (November 2018): 1483–93. http://dx.doi.org/10.1134/s0012266118110095.

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43

Tervo, J., M. T. Nihtilä, and P. Kokkonen. "On controllability, parametrization, and output tracking of a linearized bioreactor model." Journal of Applied Mathematics 2003, no. 5 (2003): 243–76. http://dx.doi.org/10.1155/s1110757x03204046.

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The paper deals with a distributed parameter system related to the so-called fixed-bed bioreactor. The original nonlinear partial differential system is linearized around the steady state. We find that the linearized system is not exactly controllable but it is approximatively controllable when certain algebraic equations hold. We apply frequency-domain methods (transfer function analysis) to consider a related output tracking problem. The input-output system can be formulated as a translation invariant pseudodifferential equation. A simulation shows that the calculation scheme is stable. An idea to use frequency-domain methods and certain pseudodifferential operators for parametrization of control systems of more general systems is pointed out.

44

Zhang, Yi, Steven Su, Andrey Savkin, Branko Celler, and Hung Nguyen. "Multiloop Integral Controllability Analysis for Nonlinear Multiple-Input Single-Output Processes." Industrial & Engineering Chemistry Research 56, no. 28 (July 5, 2017): 8054–65. http://dx.doi.org/10.1021/acs.iecr.7b02165.

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45

Hopkins, Lisa, Paul Lant, and Bob Newell. "Output strutural controllability: a tool for integrated process design and control." Journal of Process Control 8, no. 1 (January 1998): 57–68. http://dx.doi.org/10.1016/s0959-1524(97)00027-9.

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LIN, X., R. B. NEWELL, P. L. DOUGLAS, and S. K. MALLICK. "Application of output structural controllability to a thermally integrated distillation sequence." International Journal of Systems Science 25, no. 9 (August 1994): 1437–59. http://dx.doi.org/10.1080/00207729408949289.

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Cao, Y., D. Biss, and J. D. Perkins. "Assessment of input-output controllability in the presence of control constraints." IFAC Proceedings Volumes 27, no. 7 (June 1994): 37–42. http://dx.doi.org/10.1016/s1474-6670(17)47961-4.

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Cao, Y., D. Biss, and J. D. Perkins. "Assessment of input-output controllability in the presence of control constraints." Computers & Chemical Engineering 20, no. 4 (April 1996): 337–46. http://dx.doi.org/10.1016/0098-1354(95)00024-0.

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Savkin, Andrey V. "Robust Output Feedback Constrained Controllability of Uncertain Linear Time-Varying Systems." Journal of Mathematical Analysis and Applications 215, no. 2 (November 1997): 376–87. http://dx.doi.org/10.1006/jmaa.1997.5634.

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Walker, Douglas G., Jeffrey L. Stein, and A. Galip Ulsoy. "An Input-Output Criterion for Linear Model Deduction." Journal of Dynamic Systems, Measurement, and Control 122, no. 3 (August 6, 1996): 507–13. http://dx.doi.org/10.1115/1.1286819.

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Abstract:

Model order deduction algorithms have been developed in an effort to automate the production of accurate, minimal complexity models of dynamic systems in order to aid in the design of these systems. Previous algorithms, MODA and Extended MODA, deduce models independent of system inputs and outputs. FD-MODA uses frequency response methods to deduce models of a single input-output pair. In this paper, an input-output criterion based on controllability and observability is combined with the frequency based criterion used by MODA. The new model deduction algorithm, IO-MODA, compares the ratio of the adjacent diagonal values of the system gramian to a user specified threshold. The gramian is computed from a balanced realization of the system. IO-MODA generates an accurate multiple-input multiple-output model of minimum order with physically meaningful states. This model is called a proper MIMO model. An example problem is used to demonstrate this new model deduction algorithm. [S0022-0434(00)02103-1]