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Robust Mixed H2/H∞ State-Feedback Control for Continuous-Time Descriptor Systems with Parameter Uncertainties

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Abstract

In this paper, the problem of robust mixed H2/H∞ control for a class of continuous-time descriptor systems with norm-bounded parameter uncertainties is investigated. Sufficient conditions in terms of linear matrix inequalities are given for the existence of a state-feedback controller that minimizes an upper bound of the H2-norm of the transfer matrix subject to an H∞-norm constraint. A numerical example is given to show the potential of the proposed methods.

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Authors and Affiliations

  1. School of Electronics, University of Glamorgan, Pontypridd, CF37 1DL, United Kingdom

    Yuanqing Xia, Guoping Liu & David Rees

  2. Institute of Systems Engineering, Department of Automatic Control, Beijing Institute of Technology, Beijing 100081, China

    Yuanqing Xia

  3. School of Technology, University of Glamorgan, Pontypridd, CF37 1DL, United Kingdom

    Peng Shi

Authors
  1. Yuanqing Xia
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  2. Peng Shi
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  3. Guoping Liu
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  4. David Rees
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Correspondence to Yuanqing Xia, Peng Shi, Guoping Liu or David Rees.

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Xia, Y., Shi, P., Liu, G. et al. Robust Mixed H2/H∞ State-Feedback Control for Continuous-Time Descriptor Systems with Parameter Uncertainties . Circuits Syst Signal Process 24, 431–443 (2005). https://doi.org/10.1007/s00034-004-0917-2

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  • DOI: https://doi.org/10.1007/s00034-004-0917-2

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