Dynamic measurement output feedback controllers for exact model matching and disturbance rejection of general linear neutral time delay systems

The control design problem of exact model matching with simultaneous disturbance rejection (EMMDR) for left invertible general neutral multi-delay systems is solved via a dynamic realizable controller using the measurable disturbances and feeding back the measurement outputs of the system. The dynamic part of the controller connecting the measurement outputs and external commands to the inputs is considered to be realizable and proper while the dynamic part of the controller connecting the measurable disturbances to the inputs is considered to be realizable. For the controller to be implementable the transfer matrix mapping the control inputs to the measurable outputs is considered to be realizable. For this controller and open loop plant the necessary and sufficient conditions for the solvability of the EMMDR problem are resolved and the general analytical expression of the controller matrices solving the problem is presented.