Further order reduction of a singular H_inf controller

T. Watanabe, A.A. Stoorvogel

Research output: Chapter in Book/Report/Conference proceedingConference contributionAcademicpeer-review

2 Citations (Scopus)


A new class of reduced-order controllers is obtained for the H/sub /spl infin// problem. The reduced-order controller does not compromise the performance attained by the full-order controller. An algorithm for deriving the reduced-order H/sub /spl infin// controller is presented in the case of continuous time. The reduction in order is related to unstable invariant zeros of the subsystem from disturbance inputs to measurement outputs. In the case where the subsystem has no infinite zeros, the resulting order of the H/sub /spl infin// controller is lower than that of the existing reduced-order H/sub /spl infin// controller designs which are based on reduced-order observer design. Furthermore, the mechanism of the controller order reduction is analyzed on the basis of the two-Riccati equation approach.
Original languageEnglish
Title of host publicationProceedings 39th IEEE Conference on Decision and Control (Sydney, Australia, December 12-15, 2000)
Place of PublicationNew York
PublisherInstitute of Electrical and Electronics Engineers
Number of pages6
ISBN (Print)0-7803-6638-7
Publication statusPublished - 2000


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