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Received:February 21, 2011Revised:June 17, 2012 |
基金项目:This work was supported by the National Natural Science Foundation of China (No. 60774041), and the Henan Province Natural Science Foundation (No. 072300410110). |
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Robust passive control of uncertain switched time-delay systems: a sliding mode control design |
Huimin XIAO,Lin ZHAO |
(Institute of Information and Systems Engineering, Henan University of Finance and Economics;School of Mathematical Sciences, Ocean University of China) |
Abstract: |
In this paper, the problem of sliding mode control (SMC) with passivity for a class of uncertain switched time-delay systems is studied. By means of the multiple Lyapunov functions techniques, a delay-dependent sufficient condition for the existence of linear sliding surface of subsystem is deduced in which the solution to the switched sliding mode dynamics is robustly exponentially stable and passive under a state-based switching law. Moreover, the sliding mode controller is designed to drive the system trajectories onto the predefined sliding surface of subsystem in finite time. Finally, a numerical example is provided to illustrate the effectiveness of the proposed method. |
Key words: Passivity Sliding mode control Uncertain switched time-delay systems Multiple Lyapunov function Exponential stability |