Abstract
The problem of robust H ∞ control problem for a class of switched nonlinear systems with parameter uncertainty is studied by using single Lyapunov function method. The problem under switch-dependent and switch-independent dynamic output feedbacks is solved respectively. Sufficient conditions for solvability of the problem are obtained. The Lyapunov function and the corresponding switching law are explicitly constructed. A numerical example is given to demonstrate the validity of the proposed approach.
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Recommended by Editorial Board member Sungshin Kim under the direction of Editor Jae Weon Choi. This work was supported by the NSFC under Grants 60874024 and 90816028, SRFDP under Grant 200801450019, Fundamental Research Funds for the Central Universities (2010LKSX09), Qi Hang Project and Youth Science Foundation (2009A049) of China University of Mining and Technology, and Dogus University Fund for Science.
Min Wang received her M.S. and Ph.D. degrees in Mathematics and Control Theory and Applications from the Northeastern University, Shenyang, China, in 2006 and 2009 respectively. Since 2009, she has been with the Department of Mathematics, China University of Mining and Technology, Xuzhou, China, and is currently a Lecturer. Her research interests include switched systems, H∞ control, tracking control and sliding mode control.
Jun Zhao received his B.S. and M.S. degrees in Mathematics from Liaoning University, Shenyang, China, in 1982 and 1984, respectively, and his Ph.D. degree in Control Theory and Applications from the Northeastern University, Shenyang, in 1991. From 1992 to 1993, he was a Postdoctoral Fellow at the Northeastern University, where since 1994, he has been with the School of Information Science and Engineering, and is currently a Professor. From February 1998 to February 1999, he was a Senior Visiting Scholar at the Coordinated Science Laboratory, University of Illinois, Urbana- Champaign. From November 2003 to May 2005, he was a Research Fellow in the Department of Electronic Engineering, City University of Hong Kong. Since November 2006, he has also been with the Department of Information Engineering, Research School of Information Sciences and Engineering, The Australian National University, Canberra, A.C.T., Australia, as a Fellow. His current research interests include switched systems, hybrid control, nonlinear systems, and robust control.
Georgi M. Dimirovski received his Dipl-Ing in 1966 from SS Cyril & Methodius University, an M.Sc. in 1974 from University of Belgrade, Serbia, and a Ph.D. in 1977 from University of Bradford, England, UK. He is a Life-time (em.) Professor of Automation & Systems Engineering at SS Cyril & Methodius University, Skopje, Republic of Macedonia, a Professor of Computer Science & Information Technologies at Dogus University of Istanbul and an invited professor at Istanbul Technical and Izmir Dokuz Eylul Universities, in Turkey. He is a Foreign Member of Serbian Academy of Engineering Sciences, Belgrade. In 1979 he has held a postdoctoral position and subsequently was a Visiting Professor at University of Bradford in 1984 and 1986. He was a Senior Fellow & Visiting Professor at Free University of Brussels, Belgium, in 1994, and at Johannes Kepler University of Linz, Austria, in 2000. Internationally, he has published over 30 journal articles and 300 papers in IEEE and IFAC proceedings alone, and also he reviews regularly for the respective archival journals and conferences as well as serves on the editorial boards of two international journals. Currently, he serves on the IFAC Technical Board and he is the chairman of Coordination Committee CC-9.
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Wang, M., Zhao, J. & Dimirovski, G.M. Dynamic output feedback robust H ∞ control of uncertain switched nonlinear systems. Int. J. Control Autom. Syst. 9, 1–8 (2011). https://doi.org/10.1007/s12555-011-0101-y
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DOI: https://doi.org/10.1007/s12555-011-0101-y