Optimal control of discrete-time linear systems with network-induced varying delay

This paper deals with an optimal control problem for networked control systems, that have network induced time delay in the communication networks. In our proposed approach, a linear quadratic controller for the systems with random time delays in delta domain is proposed. The optimal controller is derived in delta domain by using a dynamic programming approach. The derived optimal controller in delta domain can be represented as a linear delay-depending feedback from the state and the previous control signal. Finally a numerical example is shown to illustrate the effect of the proposed controller.