Robust control of feedback systems with combined plant and controller uncertainty

Tryphon T. Georgiou, Malcolm C. Smith

Research output: Contribution to journalConference articlepeer-review

9 Scopus citations


Consideration is given to the stability of feedback systems in the presence of combined plant and controller uncertainty. It is shown that if a controller C stabilizes a ball of plants about a nominal plant P, where distances are measured by the gap metric, then P stabilizes a ball of controllers about C of the same radius. This reveals a certain reciprocity between the roles of plant and controller in a feedback system. Necessary and sufficient conditions are given for plant stability under simultaneous perturbations of the plant and the controller. Also introduced is a weighted gap metric, and its application to the problem of robust stabilization of feedback systems is discussed.

Original languageEnglish (US)
Pages (from-to)2009-2013
Number of pages5
JournalProceedings of the American Control Conference
StatePublished - Dec 1 1990
EventProceedings of the 1990 American Control Conference - San Diego, CA, USA
Duration: May 23 1990May 25 1990


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