Output Feedback Control of a Class of Stochastic Hybrid Systems

Samir Aberkane (1) , Jean-Christophe Ponsart (1) , Mickael Rodrigues (2) , Dominique Sauter (1)

1 CRAN - Centre de Recherche en Automatique de Nancy
2 LAGEP - Laboratoire d'automatique et de génie des procédés

This paper deals with static output feedback control of a class of reconfigurable systems with Markovian Parameters and state-dependent noise. 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, H_2 and H_inf performances. Another problematic related to a more general class of stochastic hybrid systems, known as Markovian Jump Linear Systems (MJLS), is also addressed. This problematic concerns the mode-independent output feedback control of MJLS. The obtained results are illustrated on a numerical example.

Mots clés: Reconfigurable control; Markovian jumping parameters; H2 and H-inf control; Static output feedback

Domaines: Automatique / Robotique

Samir Aberkane, Jean-Christophe Ponsart, Mickael Rodrigues, Dominique Sauter. Output Feedback Control of a Class of Stochastic Hybrid Systems. Automatica, 2008, 44 (5), pp.1325-1332. ⟨10.1016/j.automatica.2007.09.021⟩. ⟨hal-00201094⟩