LQG control for nonstandard singularly perturbed discrete time systems

Beom Soo Kim, Young Joong Kim, Myo Taeg Lim

    Research output: Contribution to journalConference articlepeer-review

    10 Citations (Scopus)

    Abstract

    In this paper we present a control method and a high accuracy solution technique in solving the linear quadratic Gaussian problems for the nonstandard singularly perturbed discrete time systems since the methodology that exists in the literature for the solution of the standard singularly perturbed discrete time linear quadratic Gaussian optimal control problem can not be extended to the corresponding nonstandard counterpart. The solution of the linear quadratic Gaussian optimal control problem is obtained by solving the pure-slow and pure-fast, reduced-order, continuous-time algebraic Riccati equations and by implementing the pure-slow and pure-fast, reduced-order Kalman filters. An example is provided to illustrate the efficiency of the proposed method.

    Original languageEnglish
    Pages (from-to)3736-3741
    Number of pages6
    JournalProceedings of the IEEE Conference on Decision and Control
    Volume4
    Publication statusPublished - 2002
    Event41st IEEE Conference on Decision and Control - Las Vegas, NV, United States
    Duration: 2002 Dec 102002 Dec 13

    ASJC Scopus subject areas

    • Control and Systems Engineering
    • Modelling and Simulation
    • Control and Optimization

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