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Article Dans Une Revue IEEE Transactions on Automatic Control Année : 2015

Variable Structure Control with Generalized Relays: A Simple Convex Optimization Approach

Résumé

The article proposes a convex optimization approach for the design of relay feedback controllers. The case of linear systems is studied in the presence of matched perturbations. The system input is a generalized relay that may take values in a finite set of constant vectors. A simple design method is proposed using Linear Matrix Inequalities (LMIs). Furthermore, the approach is used in the sampled-data case in order to guarantee (locally) the practical stabilization to a bounded ellipsoid of the order of the sampling interval. Time-varying uncertainties (in the state matrix and the sampling interval) can be easily included in the analysis.
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Dates et versions

hal-01006389 , version 1 (17-05-2022)

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Laurentiu Hetel, Emilia Fridman, Thierry Floquet. Variable Structure Control with Generalized Relays: A Simple Convex Optimization Approach. IEEE Transactions on Automatic Control, 2015, 60 (2), pp.497 - 502. ⟨10.1109/TAC.2014.2331417⟩. ⟨hal-01006389⟩
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