Robust stability for delay Lur'e control systems with multiple nonlinearities

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:176

Article

He, Y ; Wu, M ; She, JH ; Liu, GP

关键词: Lur'e control system;    absolute stability;    Lyapunov functional;    linear matrix inequality (LMI);    delay-dependent criterion;   

DOI  :  10.1016/j.cam.2004.07.025

来源: Elsevier

【 摘 要 】

This paper deals with delay Lur'e control systems with multiple nonlinearities and time-varying structured uncertainties. First, some sufficient, and necessary and sufficient conditions for the existence of a Lyapunov functional in the extended Lur'e form with a negative definite derivative that guarantees delay-independent robust absolute stability are presented. Then, some new less conservative delay-dependent absolute stability criteria are derived that employ free weighting matrices to express the relationships between the terms in the Leibniz-Newton formula. All the criteria are based on linear matrix inequalities. Finally, a numerical example is presented to illustrate the effectiveness of the method. (C) 2004 Elsevier B.V All rights reserved.

【 授权许可】

Free