Delayless Controllers for Exact Model Matching and Disturbance Rejection of Time Delay Systems with Measurable and Non-measurable Disturbances

Delayless control design for time delay systems is an attractive direction for networked control systems as well as other cyber physical applications. In the present paper, the problem of Exact Model Matching with simultaneous Disturbance Rejection (EMMDR) is studied for the case of left-invertible general neutral multi delay systems with measurable and non-measurable disturbances, via two types of delayless controllers. The first type of controllers is a dynamic delayless controller feeding back the measurement outputs, the measurable disturbances and the external commands. The number of the external commands is equal to the number of the control inputs. The second type of controllers is the static delayless version of the first type. For both types of controllers, the necessary and sufficient conditions for the solvability of the problem are established, and the general solutions of the controller matrices are derived. The results are illustrated through a numerical example.