Asynchronous H-infinity observer-based control synthesis of nonhomogeneous Markovian jump systems with generalized incomplete transition rates

Abstract

This paper deals with the problem of asynchronous H-infinity observer-based control for continuous-time nonhomogeneous Markovian jump systems with generalized incomplete transition rates. Different from other existing papers, the effects of both nonhomogeneity and asynchronism on observer-based control design are discussed in detail to address more realistic phenomena. Furthermore, to decouple the Lyapunov matrix from the control gain while improving the control performance, this paper proposes a state extension method as an alternative to the conventional separation method. Not only that, to derive a set of LMI-based stabilization conditions, this paper presents a less conservative relaxation technique that reduces its computational burden. Finally, two illustrative examples are provided to show the validity of the proposed method. (C) 2021 The Authors. Published by Elsevier Inc.