Applied Mathematics and Mechanics (English Edition) ›› 2003, Vol. 24 ›› Issue (8): 909-916.

• Articles • Previous Articles     Next Articles

ABSOLUTE STABILIZATION RELATED TO CIRCLE CRITERION: AN LMI-BASED APPROACH

YANG Ying, HUANG Lin   

  1. Center for Systems and Control, Department of Mechanics and Engineering Science, Peking University, Beijing 100871, P. R. China
  • Received:2002-03-19 Revised:2003-04-29 Online:2003-08-18 Published:2003-08-18
  • Supported by:
    the National Natural Science Foundation of China(10272001);the National Key Basic Research Special Foundation of China(G1998020302)

Abstract: A method is proposed for synthesizing output feedback controllers for nonlinear Lur’e systems. The problem of designing an output dynamic controller for uncertain-free systems and systems subject to multiplicative norm-bounded perturbations in the linear part were proposed respectively. The procedure is based on the use of the absolute stability, through the circle criterion, and a linear matrix inequalities (LAI) formulation. The controller existence conditions are given in terms of existence of suitable solutions to a set of parameter-dependent LMIs.

2010 MSC Number: 

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