Abstract
This paper presents a brief overview of certain recent results on the application of the gap metric to robust stabilization of feedback systems. A detailed exposition of this work is reported in [8] – [11]. Here we present an explicit formula for the radius of gap ball uncertainty that a feedback system can tolerate, and we give a solution to the problem of robustness optimization in the gap metric. We also address the problem of robust stabilization under simultaneous plant and controller uncertainty. Finally we discuss an example of an infinite dimensional (delay) system and we give an explicit closed form expression for the optimally robust controller with respect to gap ball uncertainty.KeywordsFeedback SystemRobust StabilizationRobust ControllerHankel OperatorInfinite Dimensional SystemThese keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
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