This paper deals with the problem of H-infinity and robust H-infinity control, via dynamic output feedback, of continuous time active fault tolerant control systems with Markovian parameters (AFTCSMP) subject to both structured and unstructured parameter uncertainties. The above problematic is addressed under a convex programming approach. Indeed, the fundamental tool in the analysis is a linear matrix inequalities (LMI) characterization of dynamical compensators that stochastically (robustly) stabilize the closed loop system and ensure H-infinity and robust H-infinity performances. Numerical examples are presented to illustrate the theoretical results.