All solutions to the four block general distance problem

Conference item

The authors characterize all solutions to the four-block general distance problem which arises in H∞-optimal control. The procedure is to embed the original problem in an all-pass matrix constructed by the authors. It is then demonstrated that part of this all-pass matrix acts as a generator of all solutions. As an application, the authors find a representation formula for all solutions to H∞-optimal control problems of the third kind.

Authors: Limebeer, D; Kasenally, E; Jaimoukha, I; Safonov, MG

• Publisher: IEEE
• Host title: Proceedings of the IEEE Conference on Decision and Control
• Pages: 875-880
• Publication date: 1988-12-01
• ISSN: 0191-2216