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Article Dans Une Revue International Journal of Systems Science Année : 2003

Sliding mode control of systems with time-varying delays via descriptor approach

Résumé

In this paper, we combine a descriptor approach to stability and control of linear systems with time-varying delays, which is based on the Lyapunov-Krasovskii techniques, with a recent result on sliding mode control of such systems. The systems under consideration have norm-bounded uncertainties and uncertain bounded delays. The solution is given in terms of linear matrix inequalities (LMIs) and improves the previous results based on other Lyapunov techniques. A numerical example illustrates the advantages of the new method.
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Dates et versions

hal-01767598 , version 1 (16-04-2018)

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E. Fridman, Frédéric Gouaisbaut, Marc Dambrine, J.-P. Richard. Sliding mode control of systems with time-varying delays via descriptor approach. International Journal of Systems Science, 2003, 34 (8-9), pp.553 - 559. ⟨10.1080/00207720310001609020⟩. ⟨hal-01767598⟩
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