Robust performance with respect to diagonal input uncertainty

Research output: Journal Publications and Reviews (RGC: 21, 22, 62)22_Publication in policy or professional journal

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Original languageEnglish
Pages (from-to)441-446
Journal / PublicationProceedings of the IEEE Conference on Decision and Control
Publication statusPublished - 1989
Externally publishedYes


TitleProceedings of the 28th IEEE Conference on Decision and Control. Part 1 (of 3)
CityTampa, FL, USA
Period13 - 15 December 1989


The robust performance problem of keeping the output sensitivity function small despite the presence of block diagonal uncertainty at the plant input is studied using sensitivity analysis as well as structured singular value analysis. It is shown that the robust performance is primarily determined by the first- and second-order effects of input uncertainty on the output sensitivity function. Robustness indicators are derived as functions of both the plant condition number and its input directionality properties. These indicators are useful in detecting potential design difficulties associated with ill-conditioned plants when input uncertainty is block diagonal, and they appear to give more accurate information than the plant relative gain array.