A design of model matching systems for fat plants

A design of model matching systems for a plant having more inputs than the outputs (e.g., fat plant) would be presented. For this aim, an inverted interactorizing system by state feedback would be investigated. It would be shown that the highest frequency gain matrix of given fat plant cannot be assigned arbitrarily. This means that the unstable pole-zero cancellation may occur by applying the control law for the previous reported method, even if the plant has no unstable zeros. A special selection of generalized inverse of the highest frequency gain matrix would be proposed to achieve stable model matching systems.