On absolute stability of Lur'e control systems with multiple non-linearities using linear matrix inequalities
Min WU
Yong HE
Jinhua SHE
摘要：Necessary and suffcient conditions for the existence of a Lyapunov function in the Lur'e form to guarantee the absolute stability ofLur' e control systems with multiple non-linearities are discussed in this paper. It simplifies the existence problem to one of solving a set of linear matrix inequalities (LMIs). If those LMIs are feasible, free parameters in the Lyapunov function,such as the positive definite matrix and the coefficients of the integral terms, are given by the solution of the LMIs. Otherwise, this Lyapunov function does not exist. Some sufficient conditions are also obtained for the robust absolute stability of uncertain systems.A numerical example is provided to demonstrate the effectiveness of the proposed method.
机标关键词：robust absolute stabilitylinear matrix inequalitiesLyapunov functionpositive definite matrixsufficient conditionsuncertain systemscontrol systems
分类号：O1(数学)
资助基金：国家博士基金(2000053303)
论文发表日期：2004-01-01
在线出版日期：2025-08-15（本平台首次上网日期，不代表文献的发表时间）
页数：6( 131-136 )
英文信息