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Title of Journal: Int. J. Control Autom. Syst.

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Abbravation: International Journal of Control, Automation and Systems

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Institute of Control, Robotics and Systems and The Korean Institute of Electrical Engineers

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10.1002/bsl.2370010202

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2005-4092

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Finite-time control for discrete-time switched systems with time delay

Authors: Lin-Lin Hou, Guang-Deng Zong, Yu-Qiang Wu,

Publish Date: 2012/08/14
Volume: 10, Issue:4, Pages: 855-860
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Abstract

The problem of finite-time state feedback control is considered in this paper for a class of discrete-time switched systems with time delay. Firstly, the concepts of finite-time stability and finitetime boundedness are extended to discrete-time switched systems with time delay, respectively. Then, by resorting to the average dwell time approach and Lyapunov-Krasovskii functional technology, some new delay-dependent criteria guaranteeing finite-time boundedness and stability are developed. The state feedback controller is also obtained by virtue of a cone complement linearization (CCL) method. Finally, a numerical example is provided to demonstrate the effectiveness of the proposed results.This work is supported by National Natural Science Foundation of China under Grants 60904022, 60974127, 61104136, Natural Science Foundation of Shandong province under grants ZR2011FM033, ZR2010FQ002, and Shandong Provincial Scientific Research Reward Foundation for Excellent Young and Middle-aged Scientists of China under Grant BS2010DX011.Lin-Lin Hou received her M.S. degree from Qufu Normal University, Qufu, China, in 2009. She is currently a Ph.D. candidate in Research Institute of Automation at Qufu Normal University. Her major research interests include: switched systems, time-delay systems, finitetime control.Guang-Deng Zong received his Ph.D. degree in Control Theory and Application from Southeast University, Nanjing, China in 2005. He is currently a professor in Research Institute of Automation at Qufu Normal University. His major research interests include switched systems, time-delay systems and robust control.Yu-Qiang Wu received his Ph.D. degree in Automatic Control from Southeast University, Nanjing, China, in 1994. He is currently a professor in the Research Institute of Automation, Qufu Normal University, Qufu, China. His research interests include variable structure control and nonlinear system control.


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