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

Magdi S. Mahmoud and Mohamed Zribi

Mathematical Problems in Engineering, 1999, vol. 5, 1-17

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.

Date: 1999
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:138385

DOI: 10.1155/S1024123X99001027

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