STABILITY ANALYSIS OF A TYPE OF NONLINEAR TIME-DELAY CONTROL SYSTEMS

摘要：

The time delay of Lurie nonlinear systems, in which the origin of the nonlinear systems is the absolute stability, is estimated by using a Liapunov-Razumikhn function. Two sufficient conditions are obtained about absolutely stable criteria of nonlinear systems. A numerical example illustrates the effectiveness of the presented algorithm. We find that the key problem is how to choose τ. The value of τ depends on the set D that relates to Liapunov matrix Q.So the optimization (Qbest,τmax) is our objective. By using computer aided tools and Liapunov matrix equations, we can obtain the optimization τ.

关键词： Liapunov functional Stability Bounded time-delay Nonlinear system Feedback input

作者: ZHONG-YAN LI SHU-LI GUO

作者单位: Department of Mathematics and Physics, North China Electric Power University, Beijing 102206, China; Department of Automatic Control, Beijing Institute of Technology, Beijing 100084, China

会议类型: 国际会议

会议名称: 2006 International Conference on Machine Learning and Cybernetics(IEEE第五届机器学习与控制论坛)

会议地点: 大连

会议语种:英文

页码: 978-982

在线出版日期: 2006-08-13（万方平台首次上网日期，不代表论文的发表时间）