On uniqueness of central H∞ controllers in the chain-scattering framework

Abstract

This paper studies the notion of central H∞ controllers in the chain-scattering framework. Since in the chain-scattering framework the H∞ control problem is equivalent to a factorisation problem that yields non-unique factors, it is important to somehow pin-down these factors so that the central controller is uniquely defined and corresponds to the centra) and minimum-entropy controller frequently discussed in the literature. In so doing. we device a procedure for the selection of a single uniquely identifiable H∞ controller in the chain-scattering framework. Show more