Computer Science – Systems and Control
Scientific paper
2012-04-04
Systems & Control Letters, Vol. 59(8), pp. 664-671, 2010
Computer Science
Systems and Control
Scientific paper
10.1016/j.sysconle.2010.06.004
The stabilization of uncertain LTI/LPV time delay systems with time varying delays by state-feedback controllers is addressed. At the difference of other works in the literature, the proposed approach allows for the synthesis of resilient controllers with respect to uncertainties on the implemented delay. It is emphasized that such controllers unify memoryless and exact-memory controllers usually considered in the literature. The solutions to the stability and stabilization problems are expressed in terms of LMIs which allow to check the stability of the closed-loop system for a given bound on the knowledge error and even optimize the uncertainty radius under some performance constraints; in this paper, the $\mathcal{H}_\infty$ performance measure is considered. The interest of the approach is finally illustrated through several examples.
Briat Corentin
Lafay Jean-François
Sename Olivier
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