Output Feedback H_{infinity} Control of a Class of Stochastic Hybrid Systems with Wiener Process via Convex Analysis

Samir Aberkane (1) , Jean-Christophe Ponsart (1) , Dominique Sauter (1)

1 CRAN - Centre de Recherche en Automatique de Nancy

This paper deals with the problem of H_{infinity} control, via static output feedback, of continuous time Active Fault Tolerant Control Systems with Markovian Parameters (AFTCSMP) with Wiener process. The above problematic is addressed under a convex programming approach. Indeed, the fundamental tool in the analysis is an LMI (Linear Matrix Inequalities) characterization of output feedback compensators that stochastically stabilize the closed loop system and ensure H_{infinity} performances. A numerical example is presented to illustrate the theoretical results.

Mots clés: H_{infinity} control; Output Feedback; Lyapunov stability; LMI.; LMI; Active Fault Tolerant Control; Stochastic Hybrid systems; Markovian jumping parameters

Domaines: Automatique / Robotique

Samir Aberkane, Jean-Christophe Ponsart, Dominique Sauter. Output Feedback H_{infinity} Control of a Class of Stochastic Hybrid Systems with Wiener Process via Convex Analysis. International Journal of Inovative Computing, Information and Control, 2006, 2 (6), pp.1179-1196. ⟨hal-00121526⟩