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Chapitre D'ouvrage Année : 2019

Functional adaptive $H_\inf$ observer design for a class of bilinear systems with time delays

Ahlem Sassi

Résumé

This chapter deals with the design of an adaptive observer with a reduced order for a class of bilinear time-delay systems. The proposed observers allow the joint estimation of the state and the unknown parameter vectors. A Lyapunov-Krasovskii approach is used to deduce the stability conditions, given in terms of the solvability of linear matrix inequalities on the vertices of a convex polytope. A relevant example is provided to show the feasibility and the high performances of our results.
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Dates et versions

hal-02343031 , version 1 (01-11-2019)

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Ahlem Sassi, Michel Zasadzinski, Harouna Souley Ali, Kamel Abderrahim. Functional adaptive $H_\inf$ observer design for a class of bilinear systems with time delays. Qingbin Gao and Hamid Reza Karimi. Stability, Control and Application of Time-delay Systems, Elsevier (Butterworth-Heinemann), pp.405-422, 2019, ⟨10.1016/B978-0-12-814928-7.00020-2⟩. ⟨hal-02343031⟩
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