Optimal right inverse of flat rectangular MIMO system with individual channel power constraints

This paper is concerned with finding the right inverse for the discrete time systems with flat rectangular transfer function matrix and individual channel power constraints. Such problem arises from various areas in control, signal processing and telecommunications. The difficulty of the problem stems from the complexity in obtaining a convex expression of the individual channel power constraints in the state space. This paper solves this problem by converting the constraints to nonlinear matrix inequalities and then linear matrix inequalities, and derives an effective method for computing the optimal right inverse system that simultaneously maximizes the gain coefficient and satisfies the individual channel power constraints. An application example is presented to show the effectiveness and advantage of the derived method and its usefulness in solving real application problems.