On robust performance in H

Bassam Bamieh, Mohammed Dahleh, Petros Voulgaris

Research output: Contribution to journalConference articlepeer-review


In this paper we consider the robust performance problem in H with scalar perturbations. We illustrate how the worst case H performance can be regarded as an H norm of a function of several complex variables. Alternatively, a method is presented for computing the worst case performance by computing the H norm of a single system. This system is constructed from the original nominal system with the perturbations replaced by certain all-pass functions. We show that as the order of the all-pass functions goes to infinity, this H norm converges to the worst case performance. The implications of this characterization for computing the complex structured singular value and robust synthesis are discussed.

Original languageEnglish (US)
Pages (from-to)1588-1592
Number of pages5
JournalProceedings of the American Control Conference
StatePublished - 1994
EventProceedings of the 1994 American Control Conference. Part 1 (of 3) - Baltimore, MD, USA
Duration: Jun 29 1994Jul 1 1994

ASJC Scopus subject areas

  • Electrical and Electronic Engineering

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