15th Triennial World Congress of the International Federation of Automatic Control
  Barcelona, 21–26 July 2002 
DISTURBANCE REJECTION ANALYSIS FOR STRUCTURED UNCERTAIN LUR’ E SYSTEMS
Fei Hao, Tianguang Chu, Lin Huang, Long Wang
Center for Systems and Control, Department of Mechanics and Engineering Science,
Peking University, Beijing 100871, P. R. China. E-mail: f_hao@sina.com

This paper is concerned with disturbance rejection analysis of structured uncertain Lur’e systems through invariant set analysis using Lyapunov function method. The conditions on robust ellipsoidal attractor for uncertain Lur’e systems are presented in terms of LMIs, which simultaneously ensure absolute stability and disturbance rejection of Lur’e systems. An estimate of the maximum set included in a robust ellipsoidal attractor is presented. Finally, a numerical example is worked out to illustrate the main results.
Keywords: Lur’e systems; persistent bounded disturbances; L1-performance; robust attractor
Session slot T-We-M15: Robust Analysis I/Area code 2e : Robust Control