Robust finite-time H∞ synchronization for uncertain discrete-time systems with nonhomogeneous Markovian jump: Observer-based case

In this article, the problem of robust finite-time H-infinity synchronization control is investigated for a class of uncertain discrete-time master-slave systems with Markovian switching parameters in the observer-based case. Parameter uncertainties are assumed to be norm-bounded, and the polyhedral character is utilized to describe the transition probabilities of nonhomogeneous Markov chain. By using stochastic Lyapunov function method and finite-time analysis techniques, novel sufficient conditions that include the master-slave parameters are obtained for designing an observer-based finite-time H-infinity synchronization control law in terms of linear matrix inequalities. The effectiveness of the proposed theoretical scheme is finally demonstrated by some simulations.