Simplifying the H∞ theory via loop shifting

Conference item

The 2-Riccati H∞ controller formulas and their derivations are simplified via various loop-shifting transformations that are naturally expressed in terms of a degree-one polynomial system matrix closely related to the Luenberger descriptor form of a system. The technique enables one, without loss of generality, to restrict attention to a simple case. Matrix fraction descriptions for the algebraic Riccati equation solutions afford another change of variables which brings the 2-Riccati H∞ controller formulas into a cleaner, more symmetric descriptor form, with the important practical advantage that it eliminates the numerical difficulties that can occur in cases where one or both of the Riccati solutions blowup.

Authors: Safonov, MG; Limebeer, D

• Publisher: IEEE
• Host title: Proceedings of the IEEE Conference on Decision and Control
• Pages: 1399-1404
• Publication date: 1988-01-01
• ISSN: 0191-2216