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

This paper is concerned with the controller design of networked control systems (NCSs) with time delay in the state derivatives. We employ a model of the NCSs with time delay in the state derivatives, taking into consideration both the network-induced delay and the time delay in the state derivatives. 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).