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ANALYSIS OF DISTURBANCES REJECTION FOR LUR'E SYSTEMS

ANALYSIS OF DISTURBANCES REJECTION FOR LUR'E SYSTEMS
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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. 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.
出处 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 2003年第3期318-325,共8页 应用数学和力学(英文版)
基金 theNationalKeyBasicResearchSpecialFunds(G1 9980 2 0 3 0 2 ) theNationalNaturalScienceFoundationofChina ( 1 9872 0 0 5,6992 53 0 7)
关键词 Lur'e systems disturbance rejection L 1-performance robust attractor Lur'e systems disturbance rejection L 1-performance robust attractor
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参考文献7

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