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Robust stabilization for multivariable systems with constrained control: Frequency domain approach

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Abstract

In this paper, robust stabilization conditions based on theH ∞-norm are derived for multivariable feedback systems under perturbations and constrained control. The parametrized controller of Youlaet al. is employed to treat this problem. In addition, a necessary and sufficient condition is derived for the solvability of the synthesis problem for a controller which achieves robust stability. Finally, a design procedure is proposed for selecting the parameters of the robust controller, and an illustrative example is given.

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Authors and Affiliations

  1. Department of Electrical Engineering, National Taiwan University, 10764, Taipei, Taiwan

    Kuang-Chiung Chang

  2. Department of Electrical Engineering, Tatung Institute of Technology, 40 Chungshan North Road, 3rd. Sec, Taipei, Taiwan 10451

    Hung-Ching Lu

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  1. Kuang-Chiung Chang
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  2. Hung-Ching Lu
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Chang, KC., Lu, HC. Robust stabilization for multivariable systems with constrained control: Frequency domain approach. Math. Control Signal Systems 3, 81–96 (1990). https://doi.org/10.1007/BF02551357

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  • DOI: https://doi.org/10.1007/BF02551357

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