Static Output-Feedback H_{infinity} Control of a Class of Stochastic Hybrid Systems with Wiener Process.

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

1 CRAN - Centre de Recherche en Automatique de Nancy

This paper deals with static output feedback H_{\infinity} control of continuous time Active Fault Tolerant Control Systems with Markovian Parameters (AFTCSMP) and state-dependent noise. It adopts a new framework, based on the synthesis of ellipsoidal sets of controllers. It is also shown that the obtained results can easily be applied to the problematic of mode-independent static output feedback H_{infinity} control of another class of stochastic hybrid systems known as Markovian Jump Linear Systems. Results are formulated as matrix inequalities one of which is nonlinear. A numerical algorithm based on nonconvex optimization is provided and its running is illustrated on classical examples from literature.

Domaines: Automatique / Robotique

Samir Aberkane, Jean-Christophe Ponsart, Dominique Sauter. Static Output-Feedback H_{infinity} Control of a Class of Stochastic Hybrid Systems with Wiener Process.. Jun 2006, pp.CDROM. ⟨hal-00121686⟩