On the Design of Robust Controllers for Arbitrary Uncertainty Structures

Constantino M. Lagoa, Xiang Li, Mario Sznaier

    Research output: Contribution to journalConference articlepeer-review

    2 Scopus citations

    Abstract

    The focal point of this paper is the design of robust controllers for linear time-invariant uncertain systems. Given bounds on performance (defined by a convex performance evaluator) the algorithm converges to a controller that robustly satisfies the specifications. The procedure introduced has its basis on stochastic gradient algorithms and it is proven that the probability of performance violation tends to zero asymptotically faster than 1/k, where k is the iteration step. Moreover, this algorithm can be applied to any uncertain plant, independently of the uncertainty structure. As an example of application of this new approach, we demonstrate its usefulness in the design of robust H2 controllers.

    Original languageEnglish (US)
    Pages (from-to)3596-3601
    Number of pages6
    JournalProceedings of the American Control Conference
    Volume4
    StatePublished - Nov 6 2003
    Event2003 American Control Conference - Denver, CO, United States
    Duration: Jun 4 2003Jun 6 2003

    All Science Journal Classification (ASJC) codes

    • Electrical and Electronic Engineering

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