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  • Simultaneous H2/H∞ stabilization for chemical reaction systems based on orthogonal complement space

    Author(s)
    Zhu, Yanfei
    Yang, Fuwen
    Griffith University Author(s)
    Yang, Fuwen
    Year published
    2016
    Metadata
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    Abstract
    This paper presents a simultaneous H2/H∞ stabilization problem for the chemical reaction systems which can be modeled as a finite collection of subsystems. A single dynamic output feedback controller which simultaneously stabilizes the multiple subsystems and captures the mixed H2/H∞ control performance is designed. To ensure that the stability condition, the H2 characterization and the H∞ characterization can be enforced within a unified matrix inequality framework, a novel technique based on orthogonal complement space is developed. Within such a framework, the controller gain is parameterized by the introduction of a ...
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    This paper presents a simultaneous H2/H∞ stabilization problem for the chemical reaction systems which can be modeled as a finite collection of subsystems. A single dynamic output feedback controller which simultaneously stabilizes the multiple subsystems and captures the mixed H2/H∞ control performance is designed. To ensure that the stability condition, the H2 characterization and the H∞ characterization can be enforced within a unified matrix inequality framework, a novel technique based on orthogonal complement space is developed. Within such a framework, the controller gain is parameterized by the introduction of a common free positive definite matrix, which is independent of the multiple Lyapunov matrices. An iterative linear matrix inequality (ILMI) algorithm using Matlab Yalmip toolbox is established to deal with the proposed framework. Simulation results of a typical chemical reaction system are exploited to show the validity of the proposed methodology.
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    Journal Title
    International Journal of Automation and Computing
    Volume
    13
    Issue
    1
    DOI
    https://doi.org/10.1007/s11633-015-0907-9
    Subject
    Control Systems, Robotics and Automation
    Artificial Intelligence and Image Processing
    Publication URI
    http://hdl.handle.net/10072/99380
    Collection
    • Journal articles

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