ANALYSIS OF DISTURBANCES REJECTION FOR LUR’E SYSTEMS

Applied Mathematics and Mechanics (English Edition) ›› 2003, Vol. 24 ›› Issue (3): 318-325.

ANALYSIS OF DISTURBANCES REJECTION FOR LUR’E SYSTEMS

郝飞, 楚天广, 黄琳

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

收稿日期:2001-09-28 修回日期:2002-09-30 出版日期:2003-03-18 发布日期:2003-03-18
基金资助:
the National Key Basic Research Special Funds(G1998020302);the National Natural Science Foundation of China(19872005, 69925307)

ANALYSIS OF DISTURBANCES REJECTION FOR LUR’E SYSTEMS

HAO Fei, CHU Tian-guang, HUANG Lin

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:2001-09-28 Revised:2002-09-30 Online:2003-03-18 Published:2003-03-18
Supported by:
the National Key Basic Research Special Funds(G1998020302);the National Natural Science Foundation of China(19872005, 69925307)

摘要/Abstract

摘要： 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.

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.

中图分类号:

TP273
O175

郝飞;楚天广;黄琳. ANALYSIS OF DISTURBANCES REJECTION FOR LUR’E SYSTEMS[J]. Applied Mathematics and Mechanics (English Edition), 2003, 24(3): 318-325.

HAO Fei;CHU Tian-guang;HUANG Lin. ANALYSIS OF DISTURBANCES REJECTION FOR LUR’E SYSTEMS[J]. Applied Mathematics and Mechanics (English Edition), 2003, 24(3): 318-325.

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ANALYSIS OF DISTURBANCES REJECTION FOR LUR’E SYSTEMS

ANALYSIS OF DISTURBANCES REJECTION FOR LUR’E SYSTEMS

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