H∞ Stochastic Stabilization of Active Fault Tolerant Control Systems: Convex Approach

This paper deals with the problem of H
∞
and robust H
∞
control, via dynamic output feedback, of continuous time Active Fault Tolerant Control Systems with Markovian Parameters (AFTCSMP) subject to structured parameter uncertainties. The above problematic are addressed under a convex programming approach. Indeed, the fundamental tool in the analysis is an LMI (Linear Matrix Inequalities) characterization of dynamical compensators that stochastically (robustly) stabilize the closed loop system and ensure H
∞
and robust H
∞
constraints.