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Analysis of disturbances rejection for Lur'e systems

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Abstract

The analysis of disturbance rejection for singe-input singe-output (SISO) Lur'e system with norm uncertainty was concerned through invariant set analysis using Liapunov function method. The conditions on robust ellipsoidal attractor for uncertain Lur'e systems were given in terms of LMIs (Linear Matrix Inequality), which simultaneously ensure the absolute stability and disturbance rejection of the uncertain Lur'e systems. An estimate of the maximum set included in a robust ellipsoidal attractor was also presented. Finally, a numerical example was worked out to illustrate the main results.

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Authors and Affiliations

  1. Department of Mechanics and Engineering Sciences, Peking University, 100871, Beijing, PR China

    Hao Fei Doctor, Chu Tian-guang & Huang Lin

  2. Center for Systems and Control, Peking University, 100871, Beijing, PR China

    Hao Fei Doctor, Chu Tian-guang & Huang Lin

Authors
  1. Hao Fei Doctor
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  2. Chu Tian-guang
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  3. Huang Lin
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Additional information

Communicated by YE Qing-kai

Foundation items: the National Key Basic Research Special Funds (G1998020302); the National Natural Science Foundation of China (19872005, 69925307)

Biography: HAO Fei (1972-)

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Fei, H., Tian-guang, C. & Lin, H. Analysis of disturbances rejection for Lur'e systems. Appl Math Mech 24, 318–325 (2003). https://doi.org/10.1007/BF02438269

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  • DOI: https://doi.org/10.1007/BF02438269

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