Controller design for Markov jumping systems subject to actuator saturation

Authors:
Huaping Liu;El-KéBir Boukas;Fuchun Sun;Daniel W. C. Ho
Affiliations:
Department of Computer Science and Technology, Tsighua University, State Key Laboratory of Intelligent Technology and Systems, Beijing, PR China;Mechanical Engineering Department, ícole Polytechnique de Montréal, P.O. Box 6079, station "Centre-ville", Montréal, Québec, Canada H3C 3A7;Department of Computer Science and Technology, Tsighua University, State Key Laboratory of Intelligent Technology and Systems, Beijing, PR China;Department of Mathematics, City University of Hong Kong, 83 Tat Chee Avenue, Kowloon, Hong Kong
Venue:
Automatica (Journal of IFAC)
Year:
2006

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Abstract

In this paper, the stochastic stabilization problem for a class of Markov jumping linear systems (MJLS) subject to actuator saturation is considered. The concept of domain of attraction in mean square sense is used to analyze the closed-loop stability. When the jumping mode is available, a mode-dependent state feedback controller is developed. Otherwise, we give a less conservative approach to design the mode-independent state feedback controller. Both design procedures can be converted into a set of linear matrix inequalities (LMIs). Finally, a numerical example is provided to show the effectiveness of the techniques.