Simplifying the H theory via loop shifting

Michael G. Safonov, D. J.N. Limebeer

Research output: Contribution to journalConference articlepeer-review

52 Citations (Scopus)


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.

Original languageEnglish
Pages (from-to)1399-1404
Number of pages6
JournalProceedings of the IEEE Conference on Decision and Control
Publication statusPublished - 1988
Externally publishedYes
EventProceedings of the 27th IEEE Conference on Decision and Control - Austin, TX, USA
Duration: 7 Dec 19889 Dec 1988

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Modeling and Simulation
  • Control and Optimization


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