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H ∞ control for a class of cascade switched nonlinear systems
Author(s) -
Wang Min,
Zhao Jun,
Dimirovski Georgi M.
Publication year - 2008
Publication title -
asian journal of control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.769
H-Index - 53
eISSN - 1934-6093
pISSN - 1561-8625
DOI - 10.1002/asjc.73
Subject(s) - cascade , control theory (sociology) , nonlinear system , class (philosophy) , lyapunov function , stability theory , controller (irrigation) , mathematics , state (computer science) , exponential stability , control (management) , computer science , engineering , algorithm , physics , artificial intelligence , agronomy , quantum mechanics , chemical engineering , biology
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