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Zbl 1221.93066
Meng, Qingyi; Shen, Yanjun
Finite-time control for linear continuous system with norm-bounded disturbance.
(English)
[J] Commun. Nonlinear Sci. Numer. Simul. 14, No. 4, 1043-1049 (2009). ISSN 1007-5704

Summary: The definition of finite-time $H_{\infty }$ control is presented. The system under consideration is subject to time-varying norm-bounded exogenous disturbance. The main aim of this paper is focused on the design a state feedback controller which ensures that the closed-loop system is finite-time bounded (FTB) and reduces the effect of the disturbance input on the controlled output to a prescribed level. A sufficient condition is presented for the solvability of this problem, which can be reduced to a feasibility problem involving linear matrix inequalities (LMIs). A detailed solving method is proposed for the restricted linear matrix inequalities. Finally, examples are given to show the validity of the methodology.
MSC 2000:
*93B36 $H^\infty$-control

Keywords: finite-time stability; uncertain; linear systems; LMI; time-varying exogenous disturbances

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