Applied Mathematics and Mechanics

, Volume 24, Issue 3, pp 318–325 | Cite as

Analysis of disturbances rejection for Lur'e systems

  • Hao Fei
  • Chu Tian-guang
  • Huang Lin


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.

Key words

Lur'e systems disturbance rejection L1-performance robust attractor 

Chinese Library Classification

TP273 O175 

2000 MR Subject Classification

34K20 34K35 34H05 


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Copyright information

© Editorial Committee of Applied Mathematics and Mechanics 2003

Authors and Affiliations

  • Hao Fei
    • 1
    • 2
  • Chu Tian-guang
    • 1
    • 2
  • Huang Lin
    • 1
    • 2
  1. 1.Department of Mechanics and Engineering SciencesPeking UniversityBeijingPR China
  2. 2.Center for Systems and ControlPeking UniversityBeijingPR China

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