TY - JOUR
T1 - H∞ finite-time control for switched nonlinear discrete-time systems with norm-bounded disturbance
AU - Xiang, Weiming
AU - Xiao, Jian
N1 - Funding Information:
This work was supported by the National Natural Science Foundation of China ( 60674057 , 60974027 ) and Youth Foundation of Southwest University of Science and Technology ( 10zx3121 ).
PY - 2011/3
Y1 - 2011/3
N2 - 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.
AB - 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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U2 - 10.1016/j.jfranklin.2010.12.001
DO - 10.1016/j.jfranklin.2010.12.001
M3 - Article
AN - SCOPUS:79251600177
SN - 0016-0032
VL - 348
SP - 331
EP - 352
JO - Journal of the Franklin Institute
JF - Journal of the Franklin Institute
IS - 2
ER -