Discrete-time H_2 output tracking control of wireless networked control systems with Markov communication models

摘要

This paper considers the discrete-time H_2 output tracking control of wireless networked control systems (NCSs) where the time delays are modeled as Markov chains. Output tracking control can find many applications in industry. In order to reduce the conservativeness and achieve better performance, the designed state feedback controller is dependent on available sensor-to-controller and controller-to-actuator delays. Then, the formulated closed-loop system is a special jump linear system governed by interdependent parameters of Markov chains and the condition for stochastic stability is proposed. By generalization of the H_2 norm definition, new relation of the H_2 norm for the special system is derived in terms of state space form. The condition of a set of linear matrix inequalities (LMIs) with nonconvex constraints is given to solve the H_2 output tracking control problem. Simulation examples are provided to illustrate the effectiveness of the method.