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Robust Control for Switched Nonlinear System with Multiple Delays

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  • Juan Liu
  • Qingdao Huang

Abstract

This paper focuses on the problem of robust control for a class of switched nonlinear systems with multiple time delays which are allowed to appear not only in state but also in input. We will design a controller and a switching law under which the system is “robust stable” and has performance -gain . Besides, multiple Lyapunov-Razumikhin functions which are relatively less conservative are introduced to investigate the stability of the candidate switched system. In detail, firstly, for uncertain nonlinear switched system with time-varying delays, sufficient condition is given by inequalities which are equivalent to LMIs, so it is easy to be solved; then, as a special case, nonlinear switched system with constant time delay is also considered. Finally, by providing numerical examples, the feasibility of the proposed approach is demonstrated.

Suggested Citation

  • Juan Liu & Qingdao Huang, 2015. "Robust Control for Switched Nonlinear System with Multiple Delays," Mathematical Problems in Engineering, Hindawi, vol. 2015, pages 1-10, July.
    • Handle: RePEc:hin:jnlmpe:852303
    DOI: 10.1155/2015/852303
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