Institute for Systems Research
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Item A Measure of Worst-Case HPerformance and of Largest Acceptable Uncertainty(1991) Fan, Michael K-H.; Tits, A.L.; ISRThe structured singular value (SSV or ) is know 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 Hperformance level of k/ݠare guaranteed, where k is preselectable. In this paper, we introduce a related quantity, denoted by v which provides answers for the following questions: (i) given ݬ determine the smallest with the peoperty that, for any uncertainty bounded by ݬ an H performance level ofItem Worst-Case HPerformance Under Structured Perturbations with Known Bounds(1990) Fan, Michael K-H.; Tits, A.L.; ISRThe 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 Hperformance 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.