Localization of disturbances and output decomposition in decentralized linear multivariable systems

Abstract

Abstract The purpose of this paper is to investigate the structural properties of the decentralized time-invariant linear multivariable systems in connection with the problems of disturbance localization and output decomposition. In the first, the necessary and sufficient conditions under which the disturbance localization is possible, by applying local state feedback laws, are given. The conditions are also stated in both cases of ordinary (centralized) systems with imperfect state measurement and of those with output measurement. In the second, the problem of output decomposition in decentralized linear multivariable systems is proposed, and the necessary and sufficient conditions of problem solvability are derived.