Magdi S. Mahmoud, Mohamed Zribi, "Design of delay observer-based controllers for uncertain time-lag systems", Mathematical Problems in Engineering, vol. 5, Article ID 138385, 17 pages, 1999. https://doi.org/10.1155/S1024123X99001027
Design of delay observer-based controllers for uncertain time-lag systems
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.
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