Parametrization of All Stabilizing Decentralized IMC Controllers and A Sequential Stabilization Procedure

Abstract

Necessary and sufficient conditions for decentralized stabilizability of a k-channel multiinput-multioutput linear time-invariant, nonsquare and stable plant are presented. The comparisons are made with the available results in the literature. A sequential algorithm for the design of stabilizing DIMC controllers is developed as an application of DBRG stability theory.