Sensitivity Synthesis for MIMO Systems: A Multi Objective H^2 Approach

Jakob Stoustrup, Hans Henrik Niemann

    Research output: Book/ReportReportResearchpeer-review

    Abstract

    A series of multi objective QTR H-infinity designproblems are considered in this paper. The problems are formulatedas a number of coupled QTR H-infinity design problems. TheseQTR H-infinity problems can be formulated as sensitivityproblems, complementary sensitivity problems, or control sensitivityproblems for every output (or input) in the system. It turns out thatthese multi objective QTR H-infinity design problems, based ona number of different types of sensitivity problems, can be exactlydecoupled into k\QTR H-infinity sensitivity problems for stablesystems, where k is the number of outputs (for unstable systems,independent stabilization is required). Further, it is shown how to usesimilar techniques to incorporate simultaneous specifications for differentcontrol objectives such as QTR H-infinity, etc., for the sensitivities.
    Original languageEnglish
    Number of pages15
    Publication statusPublished - 1996

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