A new approach to exact model matching controller design

The problem of designing a static state feedback controller which matches a given multivariable system to a desired ideal system (model) is treated. The system under control is assumed in state-space form while the model is assumed in transfer matrix form. The approach followed which is new in the model matching field converts the system in the time-domain input-output form and was motivated by the solution of the input-output decoupling problem. An algorithm is developed which separates the conditions which must be satisfied by the system under control and the model to be matched, from the equations which must be solved to find the gains of the feedback controller. Several examples are included to support the theoretical results.