State estimation for Markovian jump systems with an event-triggered communication scheme

This paper investigates the state estimation problem of Markovian jump systems with time-varying delay. The purpose is to design a state estimator to estimate system states through available output measurements. A novel event-triggered scheme is proposed, which is used to determine whether the sampled state information should be transmitted. The main idea is that the proposed event-triggered scheme provides a supervision of the system state in discrete instants and the newly sampled sensor measurements violating specified triggering condition will be transmitted to the estimator. Firstly, a state estimation model is constructed which describes the transmission delay, Markov parameters and an event-triggered mechanism in a unified framework. Secondly, based on the model, the criteria for the exponential mean square stability are proposed by using Lyapunov functional method and convexity property of the matrix inequality. Under the obtained conditions and the event-triggered scheme, the desired state estimator of Markovian jump systems with time delay is established by solving some linear matrix inequalities. Finally, a numerical example is given to illustrate the effectiveness of the proposed method.