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		Yanjun SHEN.[en_title][J].Control Theory and Technology,2008,6(2):184~188.[Copy]

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YanjunSHEN
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Received:October 11, 2006Revised:March 26, 2007

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Finite-time control of linear parameter-varying systems with norm-bounded exogenous disturbance

Yanjun SHEN

(Institute of Nonlinear Complex System, China Three Gorges University, Yichang Hubei 443002, China)

Abstract:

In this paper, a new approach is presented for finite-time control problems for linear systems subject to time-varying parametric uncertainties and exogenous disturbance. The disturbance is assumed to be time varying and bounded. Sufficient conditions are obtained for the existence of a linear parameter-dependent state feedback gain, which can ensure that the closed-loop system is finite-time bounded (FTB). The conditions can be reduced to feasibility problems involving LMIs. Numerical examples show the validity of the proposed methodology.

Key words: Finite time stability Polytopic system LMI Norm-bounded exogenous disturbance