H∞ finite-time control for switched nonlinear discrete-time systems with norm-bounded disturbance |
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| Authors: | Weiming Xiang Jian Xiao |
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| Institution: | a School of Electrical Engineering, Southwest Jiaotong University, No. 111, Erhuanlu Beiyiduan, Chengdu 610031, China
b School of Applied Technology, Southwest University of Science and Technology, No. 4, Xishanlu, Mianyang 621000, China |
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| Abstract: | Finite-time stability concerns the boundness of system during a fixed finite-time interval. For switched systems, finite-time stability property can be affected significantly by switching behavior; however, it was neglected by most previous research. In this paper, the problems of finite-time stability analysis and stabilization for switched nonlinear discrete-time systems are addressed. First, sufficient conditions are given to ensure a class of switched nonlinear discrete-time system subjected to norm bounded disturbance finite-time bounded under arbitrary switching, and then the results are extended to H∞ finite-time boundness of switched nonlinear discrete-time systems. Finally based on the results on finite-time boundness, the state feedback controller is designed to H∞ finite-time stabilize a switched nonlinear discrete-time system. A numerical design example is given to illustrate the proposed results within this paper. |
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