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Design of delay observer-based controllers for uncertain time-lag systems

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  • Magdi S. Mahmoud
  • Mohamed Zribi

Abstract

In this paper, the problem of designing observers and observer-based controllers for a class of uncertain systems with input and state time lags is considered. We construct delay-type observers in which both the instantaneous as well as the delayed measurements are utilized. Using feedback control based on the reconstructed state, the behavior of the closed-loop system is investigated. It is established that the uncertain time-lag system with delay observer-based control is asymptotically stable. Expressions for the gain matrices are given based on two linear-matrix inequalities. A numerical example is given to illustrate the theoretical developments.

Suggested Citation

  • Magdi S. Mahmoud & Mohamed Zribi, 1999. "Design of delay observer-based controllers for uncertain time-lag systems," Mathematical Problems in Engineering, Hindawi, vol. 5, pages 1-17, January.
    • Handle: RePEc:hin:jnlmpe:138385
    DOI: 10.1155/S1024123X99001027
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