State feedback controller design of networked control systems with time delay in the plant

This paper is concerned with the controller design of networked control systems (NCSs) with time delay in the plant. We employ a model of the NCSs with time delay in the plant, taking into consideration both the network-induced delay and the time delay in the plant. On the basis of the given model, a controller design method is proposed by using the delay-dependent approach. An appropriate Lyapunov functional candidate is proposed to lead to the criteria in this paper by combining the free-weighting matrix method. The feedback gain of a memoryless controller can be derived by solving a set of linear matrix inequalities (LMIs). Moreover, the correlation between the network-induced delay and the time delay in the plant is also investigated. A numerical example is given to illustrate the effectiveness of our method and the reciprocal influences between the network-induced delay and the delay in the plant.