Output-Feedback H2/Hinf Control of a Class of Networked Fault Tolerant Control Systems

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 control of a class of discrete-time Networked Control Systems (NCSs) subject to random failures and random delays. The different random processes are modeled as Markovian chains, and the resulting closed-loop system belongs to the class of discrete-time Markovian Jump Linear Systems (MJLS). The main contribution is to formulate conditions for multi-performance design related to this class of stochastic hybrid systems. The specifications and objectives under consideration include stochastic stability, $\mathcal{H}_{2}$ and $\mathcal{H}_{\infty}$ performances. Results are formulated as matrix inequalities. A numerical algorithm is provided and its running is illustrated on a numerical example.

Mots clés: Fault tolerant control; networked systems; Markovian jumping parameters; output feedback

Domaines: Automatique / Robotique

Samir Aberkane, Jean-Christophe Ponsart, Dominique Sauter. Output-Feedback H2/Hinf Control of a Class of Networked Fault Tolerant Control Systems. Asian Journal of Control, 2008, 10 (1), pp.24-33. ⟨10.1002/asjc.4⟩. ⟨hal-00201093⟩