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Delay-fractioning-dependent robust control for linear systems with delay in state or input and its applications

Author

Listed:
  • Engang Tian
  • Dong Yue
  • Chen Peng

Abstract

A new delay fraction technique is proposed to investigate the H∞ control of uncertain systems with time delay in state or input. First, the variation interval of the time-varying delay is divided into several subintervals with equal length. By checking the variation of derivative of the Lyapunov functional in every subinterval, some new criteria on H∞ performance analysis of the systems are derived in terms of the convexity properties of a matrix inequality and some other new analysis techniques. Then, criteria for the H∞ control design are presented, which are concluded from the H∞ performance analysis results. As applications of the derived results, H∞ performance analysis and H∞ control design are carried out for some systems, including two numerical systems, linearised truck trailer system and traffic network system. Discussions show that, the proposed method is effective for these systems and much less conservativeness appears than those given in the existing references.

Suggested Citation

  • Engang Tian & Dong Yue & Chen Peng, 2012. "Delay-fractioning-dependent robust control for linear systems with delay in state or input and its applications," International Journal of Systems Science, Taylor & Francis Journals, vol. 43(5), pages 820-833.
    • Handle: RePEc:taf:tsysxx:v:43:y:2012:i:5:p:820-833
    DOI: 10.1080/00207721.2010.528177
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    Cited by:

    1. Wenyong Duan & Baozhu Du & Jing You & Yun Zou, 2015. "Improved robust stability criteria for a class of Lur'e systems with interval time-varying delays and sector-bounded nonlinearity," International Journal of Systems Science, Taylor & Francis Journals, vol. 46(5), pages 944-954, April.

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