Robust Finite-Time Control for Impulsive Switched Nonlinear Systems with State Delay

Jian Guo, Chao Liu and Zhengrong Xiang

Mathematical Problems in Engineering, 2012, vol. 2012, 1-25

Abstract:

This paper investigates robust finite-time control for a class of impulsive switched nonlinear systems with time-delay. Firstly, using piecewise Lyapunov function, sufficient conditions ensuring finite-time boundedness of the impulsive switched system are derived. Then, finite-time performance analysis for impulsive switched systems is developed, and a robust finite-time state feedback controller is proposed to guarantee that the resulting closed-loop system is finite-time bounded with disturbance attenuation. All the results are given in terms of linear matrix inequalities (LMIs). Finally, two numerical examples are provided to show the effectiveness of the proposed method.

Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:830154

DOI: 10.1155/2012/830154

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