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Robust Control for Singular Time-Delay Systems via Parameterized Lyapunov Functional Approach

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  • Li-li Liu
  • Bao-wei Wu
  • Yue-E Wang

Abstract

A new version of delay-dependent bounded real lemma for singular systems with state delay is established by parameterized Lyapunov-Krasovskii functional approach. In order to avoid generating nonconvex problem formulations in control design, a strategy that introduces slack matrices and decouples the system matrices from the Lyapunov-Krasovskii parameter matrices is used. Examples are provided to demonstrate that the results in this paper are less conservative than the existing corresponding ones in the literature.

Suggested Citation

  • Li-li Liu & Bao-wei Wu & Yue-E Wang, 2014. "Robust Control for Singular Time-Delay Systems via Parameterized Lyapunov Functional Approach," Mathematical Problems in Engineering, Hindawi, vol. 2014, pages 1-9, November.
    • Handle: RePEc:hin:jnlmpe:790521
    DOI: 10.1155/2014/790521
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