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 language||English (US)|
|Number of pages||5|
|Journal||Proceedings of the American Control Conference|
|State||Published - Dec 1 1990|
|Event||Proceedings of the 1990 American Control Conference - San Diego, CA, USA|
Duration: May 23 1990 → May 25 1990