Analysis of Disturbances Rejection for Lur’e Systems

HAO Fei; CHU Tian-guang; HUANG Lin

Volume 24 Issue 3

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Article Navigation > Applied Mathematics and Mechanics > 2003 > 24(3): 282-288

HAO Fei, CHU Tian-guang, HUANG Lin. Analysis of Disturbances Rejection for Lur’e Systems[J]. Applied Mathematics and Mechanics, 2003, 24(3): 282-288.

Citation:

HAO Fei, CHU Tian-guang, HUANG Lin. Analysis of Disturbances Rejection for Lur’e Systems[J]. Applied Mathematics and Mechanics, 2003, 24(3): 282-288.

Citation:

HAO Fei, CHU Tian-guang, HUANG Lin. Analysis of Disturbances Rejection for Lur’e Systems[J]. Applied Mathematics and Mechanics, 2003, 24(3): 282-288.

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Analysis of Disturbances Rejection for Lur’e Systems

1.
Department of Mechanics and Engineering Sciences, Peking University, Beijing 100871, P. R. China;
2.
Center for Systems and control, Peking University, Beijing 100871, P. R. China

Received Date: 2001-09-29
Rev Recd Date: 2002-09-30
Publish Date: 2003-03-15

Abstract

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 Lyapunov 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.
- Lur’e systems,
- disturbance rejection,
- L1_-performance,
- robust attractor

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References(8)

References

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