Lagrange Stability of a Class of Polytopic Discrete-time Pendulum-like Systems

摘要：

This paper deals with robust Lagrange stability analysis and synthesis for discretetime pendulum-like systems with ploytopic uncertainties. Based on the Kalman-Yakubovich-Popov(KYP) lemma which establishes the equivalence between frequency domain inequalities(FDIs) and linear matrix inequalities(LMIs), LMI characterizations are established to guarantee robust Lagrange stability for such nonlinear systems under convex polytopic uncertainties. The new LMI conditions do not involve any product of the Lyapunov matrix and the system matrices. It enables one to check robust Lagrange stability by using parameter-dependent Lyapunov functions. Based on the results, a state feedback controller is designed to ensure robust Lagrange stability for such systems. A concrete application to digital phase-locked loop shows the applicability and validity of the proposed approach.

作者: Pingli Lu Ying Yang Lin Huang

作者单位: Department of Mechanics & Aerospace Technology Peking University Beijing, P.R. China, 100871

会议类型: 国际会议

会议名称: Fourth International Conference on Impulsive and Hybrid Dynamical Systems(ICIHDS 2007)(第四届国际脉冲和混合动力系统学术会议)

会议地点: 南宁

会议语种:英文

在线出版日期: 2007-07-20（万方平台首次上网日期，不代表论文的发表时间）