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Sliding Mode Control Based on Observer for a Class of State-Delayed Switched Systems with Uncertain Perturbation

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  • Zhaolan He
  • Xue Wang
  • Zongwei Gao
  • Jingjie Bai

Abstract

This paper is concerned with a state observer-based sliding mode control design methodology for a class of continuous-time state-delayed switched systems with unmeasurable states and nonlinear uncertainties. The advantages of the proposed scheme mainly lie in which it eliminates the need for state variables to be full accessible and parameter uncertainties to be satisfied with the matching condition. Firstly, a state observer is constructed, and a sliding surface is designed. By matrix transformation techniques, combined with Lyapunov function and sliding surface function, a sufficient condition is given to ensure asymptotic stability of the overall closed-loop systems composed of the observer dynamics and the estimation error dynamics. Then, reachability of sliding surface is investigated. At last, an illustrative numerical example is presented to prove feasibility of the proposed approaches.

Suggested Citation

  • Zhaolan He & Xue Wang & Zongwei Gao & Jingjie Bai, 2013. "Sliding Mode Control Based on Observer for a Class of State-Delayed Switched Systems with Uncertain Perturbation," Mathematical Problems in Engineering, Hindawi, vol. 2013, pages 1-9, April.
    • Handle: RePEc:hin:jnlmpe:614878
    DOI: 10.1155/2013/614878
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