Multi-Objective Output Feedback Control of a Class of Stochastic Hybrid Systems with State Dependent Noise

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

1 CRAN - Centre de Recherche en Automatique de Nancy

This paper deals with dynamic output feedback control of continuous time Active Fault Tolerant Control Systems with Markovian Parameters (AFTCSMP) and state-dependent noise. The main contribution is to formulate conditions for multi-performance design, related to this class of stochas- tic hybrid systems, that take into account the problematic resulting from the fact that the controller only depends on the FDI (Fault Detection and Isolation) process. The specifications and objectives under consideration include stochastic stability, H2 and H∞ (or more generally, Stochastic Integral Quadratic Constraints) performances. Results are formulated as matrix inequalities. The theoretical results are illustrated using a classical example from literature.

Domaines: Optimisation et contrôle [math.OC]

Samir Aberkane, Jean-Christophe Ponsart, Dominique Sauter. Multi-Objective Output Feedback Control of a Class of Stochastic Hybrid Systems with State Dependent Noise. Mathematical Problems in Engineering, 2007, 2007, pp.31561. ⟨10.1155/2007/31561⟩. ⟨hal-00578062⟩