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.