(1) Department of Electrical Engineering, and Computer Science, University of Michigan, 48109-2122 Ann Arbor, Michigan, USA;(2) Dipartimento di Informatica e Sistemistica, Università di Roma, La Sapienza, Roma, Italy
Abstract:
Necessary and sufficient conditions for the existence of a static state feedback that achieves noninteraction and internal stability are obtained. This is accomplished by first characterizing the set of all controllability subspaces (distributions) that can arise as solutions to the noninteracting control problem. This characterization is then used to identify a fixed internal dynamics that is common to every noninteractive closed loop. The stability properties of this dynamics is shown to be the key factor in the problem of achieving noninteracting control with internal stability.