Robust Analysis and Synthesis for the Nonexistence of Periodic Solutions in a Class of Nonlinear Systems

被引：0
|
作者：
P. L. Lu
Y. Yang
L. Huang
机构：
[1] Peking University,State Key Lab for Turbulence and Complex Systems, Department of Mechanics and Aerospace Technology
来源：
Journal of Optimization Theory and Applications | 2007年 / 135卷
关键词：
LMIs; GKYP lemma; Polytopic uncertainty;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
This paper considers the nonexistence of periodic solutions in a class of nonlinear uncertain systems. Based on the generalized Kalman–Yakubovich–Popov (GKYP) lemma, linear matrix inequalities (LMIs) characterizations are derived to guarantee the nonexistence of periodic solutions in a certain frequency range. The new LMI conditions do not involve any product of the Lyapunov matrix and the system matrices. Based on the results, a dynamic output feedback controller is designed to ensure the nonexistence of periodic solutions in such systems. A concrete application to the Chua circuit shows the applicability and validity of the proposed approach.
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页码：205 / 216
页数：11
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