On the disturbance decoupling of linear singular multi-delay systems

Time delay system descriptions are usually met in mechanical systems and industrial processes. Here, the general class of linear singular neutral multi delay systems is introduced. The controller is of the general proportional multi delay state feedback type. For the case of regularizable linear singular neutral multi delay systems the design problem of disturbance decoupling (DD) is solved under the constraint that the closed loop system must be left invertible. The necessary and sufficient conditions for the problem to admit a realizable solution are established and the general solution of the realizable controllers is derived.