Exact model matching and disturbance rejection of linear singular multi-delay systems via measurement output feedback

Abstract

For the case of regularizable linear singular multi delay systems the design problem of Exact Model Matching with simultaneous Disturbance Rejection (EMMDR) is solved under the assumption that the ideal model is left invertible and using a general proportional multi delay measurement output feedback type controller. The necessary and sufficient conditions for the problem to admit a realizable controller solution are established and the general solution of the realizable controllers is derived.