http://orcid.org/0000-0003-4164-3910
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ABSTRACT
Local passivity and H∞ control of switched discrete-time nonlinear systems are studied using the linearisation technique in this paper. We first establish LMI-based sufficient conditions under which theconsidered system is locally strictly QSR-dissipative. Then, two special cases of QSR-dissipativity, local passivity and l2 gain, are investigated. In view of the derived conditions being all convex in linearised system matrices, local feedback passification and H∞ control problems of switched discrete-time nonlinear systems are solved. The efficiency of the proposed method is verified through numerical examples.
Acknowledgments
The authors would like to thank the editor and the anonymous reviewers for their valuable comments and suggestions that have improved the presentation of this paper.
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No potential conflict of interest was reported by the authors.
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Notes on contributors
Hanmei Wang
Hanmei Wang received the M.S. degree from Shaanxi Normal University, China, in 2007. She is a Ph.D. candidate at the College of Information Science and Engineering, Northeastern University. She is also with the School of Mathematics and Statistics, Shangqiu Normal University, Henan, China. Her research interests include passivity and dissipativity analysis, switched systems, nonlinear systems, robust control.
Jun Zhao
Jun Zhao was born in 1957. He received the BS and MS degrees in mathematics in 1982 and 1984 respectively, from Liaoning University, China. He completed his PhD in Control Theory and Applications in 1991 at Northeastern University, China. From 1992 to 1993, he was a postdoctoral fellow at the same university. Since 1994, he has been with the School of Information Science and Engineering, Northeastern University, China, where he is currently a professor. From February 1998 to February 1999, he was a senior visiting scholar at the Coordinated Science Laboratory, University of Illinois at Urbana-Champaign. From November 2003 to May 2005, he was a Research Fellow at Department of Electronic Engineering, City University of Hong Kong. Since November 2006, as a Fellow, he has been with the Department of Information Engineering, Research School of Information Sciences and Engineering, The Australian National University. His main research interests include switched systems, hybrid control, non-linear systems and robust control. Corresponding author of this paper.