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Stability analysis for discrete linear systems with state saturation by a saturation-dependent Lyapunov functional

控制理论与应用（英文版） 2012年第4期10卷 539-542页

作者： Xiaofu JI Mingwei REN Hongye SU Jinfeng GAO School of Electrical and Information Engineering Jiangsu University National Key Laboratory of Industrial Control Technology Institute of Cyber-systems and ControlZhejiang University Institute of Automation Zhejiang Sci-Tech University

This paper concerns the stability analysis problem of discrete linear systems with state saturation using a saturation-dependent Lyapunov functional. We introduce a free matrix characterized by the sum of the absolute value of each elements for each row less than 1, which makes the state with saturation constraint reside in a convex polyhedron. A saturation-dependent Lyapunov functional is then designed to obtain a sufficient condition for such systems to be globally asymptotically stable. Based on this stability criterion, the state feedback control law synthesis problem is also studied. The obtained results are formulated in terms of bilinear matrix inequalities that can be solved by the presented iterative linear matrix ineoualitv algorithm. Two numerical examoles are used to demonstrate the effectiveness of the nronosed method_

关键词： discrete linear systems State saturation Saturation-dependent Iterative linear matrix inequality

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Output regulation problem for discrete-time linear time-delay systems by output feedback control

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Control Theory and Technology 2016年第1期14卷 49-56页

作者： Yamin YAN Jie HUANG Department of Mechanical and Automation Engineering The Chinese University of Hong Kong Shatin Hong Kong.

In this paper, we study the output regulation problem of discrete linear time-delay systems by output feedback control. We have established some results parallel to those for the output regulation problem of continuou... 详细信息

关键词： Output regulation discrete linear systems time-delay

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Robust Fault-tolerant Iterative Learning Control for discrete systems via linear Repetitive Processes Theory

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International Journal of Automation and computing 2015年第3期12卷 254-265页

作者： Jian Ding Blazej Cichy Krzysztof Galkowski Eric Rogers Hui-Zhong Yang Key Laboratory of Advanced Process Control for Light Industry (Ministry of Education) Jiangnan University Institute of Control and Computation Engineering University of Zielona Gora Department of Electronics and Computer Science University of Southampton

This paper addresses the problem of robust iterative learning control design for a class of uncertain multiple-input multipleoutput discrete linear systems with actuator faults. The stability theory for linear repetitive processes is used to develop formulas for gain matrices design, together with convergent conditions in terms of linear matrix inequalities. An extension to deal with model uncertainty of the polytopic or norm bounded form is also developed and an illustrative example is given.

关键词： Iterative learning control linear repetitive processes linear matrix inequality(LMI) discrete linear systems fault-tolerant cont

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