H∞ control for a class of cascade switched nonlinear systems |
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| Authors: | Min Wang Jun Zhao Georgi M Dimirovski |
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| Affiliation: | 1. Key Laboratory of Integrated Automation of Process Industry, Ministry of Education, P.O. Box 135, Northeastern University, Shenyang 110004, P. R. China;2. Department of Computer Engineering, Dogus University, Kadikoy, TR‐34722, Istanbul, Turkey |
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| Abstract: | In this paper, we investigate the H∞ control problem for a class of cascade switched nonlinear systems consisting of two nonlinear parts which are also switched systems using the multiple Lyapunov function method. Firstly, we design the state feedback controller and the switching law, which guarantees that the corresponding closed‐loop system is globally asymptotically stable and has a prescribed H∞ performance level. This method is suitable for a case where none of the switched subsystems is asymptotically stable. Then, as an application, we study the hybrid H∞ control problem for a class of nonlinear cascade systems. Finally, an example is given to illustrate the feasibility of our results. Copyright © 2008 John Wiley and Sons Asia Pte Ltd and Chinese Automatic Control Society |
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| Keywords: | Cascade switched nonlinear systems H∞ control multiple Lyapunov functions hybrid H∞ control |
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