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    Unified optimization H_infinity Index and Stability Bounds for Singularly Perturbed Systems

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    Fulltext not available
    Authors
    Liu, Lei
    Yang, Ying
    Liu, Wan-Quan
    Date
    2013
    Type
    Journal Article
    
    Metadata
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    Citation
    Liu, Lei and Yang, Ying and Liu, Wan-Quan. 2013. Unified optimization H_infinity Index and Stability Bounds for Singularly Perturbed Systems. Optimization Letters. 8 (6): pp. 1889-1904.
    Source Title
    Optimization Letters
    DOI
    10.1007/s11590-013-0686-6
    ISSN
    18624472
    URI
    http://hdl.handle.net/20.500.11937/30653
    Collection
    • Curtin Research Publications
    Abstract

    In this paper, unified optimization problem for the upper stability bound ε* and the H∞ performance index γ based on state feedback is considered for singularly perturbed systems. First, a sufficient condition for the existence of state feedback controller is presented in terms of linear matrix inequalities such that the resulting closed-loop system is asymptotically stable if 0<ε<ε* and also guarantees H∞ performance index. Furthermore, a new algorithm to optimize these two indices simultaneously is proposed based on Nash game theory which transfers multi-objective problem into a single objective problem as well we determine the objective weights. Then an optimal state feedback controller can be derived. Finally, some numerical examples are provided to demonstrate the effectiveness and correctness of the proposed results.

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