Generalized Minimum Variance Control with Pseudocommutation applying sylvesta matrix for Time Varying System

This paper describes a generalized minimum variance control (GMVC) strategy for time varying system (TVS). GMVC is one of the predict control methods, which are effective to time delay system. In TVS, polynominals of the model are noncommutative. Then, the cost function cannot be optimized accurately because a noncommutative noise term remains. This paper applies the direct pseudocommutation method to TVS in order to improve the noncommutativity. The proposed pseudocommutation method is durable in time shift of time varying multiplications even though this GMVC strategy holds its simple structure.