Worst-Case HPerformance Under Structured Perturbations with Known Bounds

Abstract

The structured singular value (SSV or ) is known to be an effective tool for assessing robust performance of linear time- invariant models subject to structured uncertainty. Yet all a single analysis provides is a bound ݠon the uncertainty under which stability as well as Hperformance level of k/ݠare guaranteed, where k is reselectable. In this paper, we introduce a related quantity, denoted by v which, for a given ݬ provides a value such that for any uncertainty bounded by ݠan H performance level of ( but none better than ) is guaranteed.