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Article Dans Une Revue IEEE Control Systems Letters Année : 2019

Static Output Feedback Stabilization of Discrete-Time Linear Systems With Stochastic Dynamics Determined by an Independent Identically Distributed Process

Yohei Hosoe
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Résumé

This paper discusses an extension of our earlier results about state feedback stabilization toward static output feedback stabilization for discrete-time linear systems with stochastic dynamics determined by an independent and identically distributed (i.i.d.) process. A completely-linearized necessary and sufficient inequality condition for static output feedback synthesis is known to be difficult to obtain even in the case with deterministic systems. Hence, this paper derives with the so-called S-variable approach a bilinear matrix inequality condition that can be effectively solved through exploiting the result of state feedback synthesis. An illustrative numerical example is also given for such synthesis.

Domaines

Automatique
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Dates et versions

hal-03026829 , version 1 (26-11-2020)

Identifiants

Citer

Yohei Hosoe, Dimitri Peaucelle. Static Output Feedback Stabilization of Discrete-Time Linear Systems With Stochastic Dynamics Determined by an Independent Identically Distributed Process. IEEE Control Systems Letters, 2019, 3 (3), pp.673-678. ⟨10.1109/LCSYS.2019.2916289⟩. ⟨hal-03026829⟩
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