Sampled-data control of LTI systems with relays: a convex optimization approach

Laurentiu Hetel 1 Emilia Fridman 2 Thierry Floquet 3, 1
3 NON-A - Non-Asymptotic estimation for online systems
Inria Lille - Nord Europe, CRIStAL - Centre de Recherche en Informatique, Signal et Automatique de Lille (CRIStAL) - UMR 9189
Abstract : We consider a generalized class of relay controllers where the system input may take values in a finite set of constant vectors. A simple continuous-time design method is proposed for linear time invariant (LTI) systems. Furthermore, it is used in the sampled-data case in order to guarantee (locally) the practical stabilization to a bounded ellipsoid containing the origin. The sampling intervals may be unknown and time-varying in a given interval. Simple linear matrix inequalities (LMIs) conditions are proposed for checking (local) practical stability.
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Conference papers
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https://hal.archives-ouvertes.fr/hal-00923825
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Submitted on : Sunday, January 5, 2014 - 1:16:52 PM
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  • HAL Id : hal-00923825, version 1

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Laurentiu Hetel, Emilia Fridman, Thierry Floquet. Sampled-data control of LTI systems with relays: a convex optimization approach. 9th IFAC Symposium on Nonlinear Control Systems, Sep 2013, Toulouse, France. ⟨hal-00923825⟩

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