Asynchronous H∞ controller design for neutral singular Markov jump systems under dynamic event-triggered schemes

Abstract This paper concentrates on the issue of asynchronous H ∞ controller design for neutral singular Markov jump systems (NSMJSs) under a dynamic event-triggered scheme (ETS). To reduce the unnecessary data transmissions through the network, the concept of asynchronous control along with the dynamic ETS is presented. The hidden Markov model (HMM) is utilized to explain asynchronization phenomenon which exists between the controller modes and system modes. For the closed-loop systems, the criterion of stochastically admissible with a certain H ∞ performance is established by a set of linear matrix inequalities (LMIs). With the help of the series of feasible LMIs, the co-design of controller gains and the dynamic ETS is raised. At last, a numerical example which contains different triggered schemes is given to certify the usefulness and effectiveness of the developed method.