ℌ∞ control for singular stochastic systems

Author

Barbata, Asma ; Zasadzinski, Michel ; Souley Ali, Harouna ; Messaoud, Hassani

Author_Institution

Centre de Rech. en Autom. de Nancy (CRAN), Univ. de Lorraine, Cosnes et Romain, France

fYear

2013

fDate

17-19 July 2013

Firstpage

105

Lastpage

110

Abstract

In this paper, we deal with the bounded real lemma for stochastic singular systems with multiplicative noises. Based on the adaptation of Itô calculus, the admissibility for this class of systems is defined and the bounded real lemma is derived using the mean square exponential stability. This lemma is then used to synthetize a ℌ_∞ output feedback controller for the considered class of systems that achieves a given level of disturbance attenuation. The design is based on the solution of linear matrix inequalities coupled with an algebraic constraint.

Keywords

H^∞ control; asymptotic stability; calculus; feedback; linear matrix inequalities; mean square error methods; stochastic systems; ℌ_∞ control; ℌ_∞ output feedback controller; Itô calculus; algebraic constraint; bounded real lemma; disturbance attenuation; linear matrix inequality; mean square exponential stability; multiplicative noises; singular stochastic systems; Attenuation; Equations; Indexes; Linear matrix inequalities; Mathematical model; Noise; Stochastic processes; ℌ∞ output feedback controller; Admissibility; Bounded real lemma; Disturbance attenuation; Itô calculus; Linear matrix inequalities; Mean square exponential stability; Multiplicative noise; Stochastic singular systems;

fLanguage

English

Publisher

ieee

Conference_Titel

Control Conference (ECC), 2013 European

Conference_Location

Zurich

Type

conf

Filename

6669838