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Output Feedback Stochastic Stabilization of Active Fault Tolerant Control Systems: LMI Formulation

Authors:Aberkane Samir, UHP, France
Ponsart Jean Christophe, UHP, France
Sauter Dominique, UHP, France
Topic:6.4 Safeprocess
Session:Fault Tolerant Control
Keywords: Active fault tolerant control, Hybrid systems, Markovian jumping parameters, Linear matrix inequalities, Dynamic output feedback.

Abstract

In this paper, we address the dynamic output feedback control problem of continuous time active fault tolerant control system with Markovian parameters (AFTCSMP). We will first derive a necessary and sufficient condition for the exponential stability in the mean square of the AFTCSMP under a dynamic output feedback control, in terms of coupled matrix inequalities, and then we will give an LMI (Linear Matrix Inequalities) characterization of dynamical compensators that stabilize the closed-loop system inthe mean square sense.