Guaranteed cost control for networked control systems with random long time-delay
具有随机长时延的网络控制系统保性能控制

This paper is concerned with the modeling and the guaranteed cost control for a class of discrete-time networked control systems(NCSs) with a random long time-delay. The network-induced time-delay in the forward and the feedback channels are modeled as two Markov chains, respectively. By using the most recent available data, we model the closed-loop NCS as a Markovian stochastic time-delay system which depends on the network-induced time-delay at the present and past instants. By Lyapunov method and the linear matrix inequality(LMI) technique, we derive the sufficient conditions for the closed-loop NCS to be stochastically stable with a quadratic performance upper bound. A design procedure is also presented for the state-feedback guaranteed cost controller. An illustrative example is given to demonstrate the effectiveness of the proposed method.