Decentralized Control: A Stable Proper Fractional Approach

Abstract

Three decentralized control problems are considered in a fractional setup for two-channel multivariable systems. The problems are: i) making the system stabilizable and detectable through the first channel via dynamic output feedback around the second channel, ii) the first problem with the constraint of internal stability, and iii) the decentralized stabilization problem. It turns out that all three problems are equivalent as far as the solvability conditions are concerned. A characterization of all solutions in each case is given. The results in this paper apply to a class of systems having fractional representations over an arbitrary principal ideal domain. © 1990 IEEE