A SVD based controller reduction method

In this paper an efficient controller reduction method which guarantees closed loop stability is described. The reduced controller is obtained by solving a generalized controllability Grammian type Lyapunov inequality. This Lyapunov inequality based reduced controller search can be formulated as a generalized minimum rank matrix approximation problem to which an efficient singular value decomposition based solution procedure is available. This paper contains theoretical and numerical results on the merit of the proposed reduction method.