TY - JOUR
T1 - Robust control of feedback systems with combined plant and controller uncertainty
AU - Georgiou, Tryphon T.
AU - Smith, Malcolm C.
PY - 1990/12/1
Y1 - 1990/12/1
N2 - 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.
AB - 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.
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M3 - Conference article
AN - SCOPUS:0025546831
SP - 2009
EP - 2013
JO - Proceedings of the American Control Conference
JF - Proceedings of the American Control Conference
SN - 0743-1619
T2 - Proceedings of the 1990 American Control Conference
Y2 - 23 May 1990 through 25 May 1990
ER -