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A Novel Approach to Control Design for Linear Neutral Time-Delay Systems

Author

Listed:
  • Hongwei Xia
  • Pingping Zhao
  • Li Li
  • Aiguo Wu
  • Guangcheng Ma

Abstract

This paper is concerned with the problem of control of linear neutral systems with time-varying delay. Firstly, by applying a novel Lyapunov-Krasovskii functional which is constructed with the idea of delay partitioning approach, appropriate free-weighting matrices, an improved delay-dependent bounded real lemma (BRL) for neutral systems is established. By using the obtained BRL, a delay-dependent sufficient condition for the existence of a state-feedback controller, which ensures asymptotic stability and a prescribed performance level of the corresponding closed-loop system, is formulated in terms of linear matrix inequalities. Some numerical examples are given to illustrate the effectiveness of the proposed design method.

Suggested Citation

  • Hongwei Xia & Pingping Zhao & Li Li & Aiguo Wu & Guangcheng Ma, 2013. "A Novel Approach to Control Design for Linear Neutral Time-Delay Systems," Mathematical Problems in Engineering, Hindawi, vol. 2013, pages 1-9, March.
    • Handle: RePEc:hin:jnlmpe:526017
    DOI: 10.1155/2013/526017
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