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

作者：He, Quangui; Xing, Mali; Gao, Xiaobin; Deng, Feiqi^*

来源：INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2020, 30(10): 3982-4002.

DOI：10.1002/rnc.4974

• finite-time control
• nonhomogeneous Markovian jump systems
• observer-based control
• parameter uncertainties
• synchronization

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.

• 单位
  广东工业大学