Delay-dependent Stability Criteria for LTI Systems with Multiple Time Delays

摘要：

Based on the argument principle, a method is proposed to derive delay-dependent stability criteria without any conservatism for LTI (linear time invariant) systems with multiple time delays. Because the characteristic polynomial of a LTI system with multiple time delays is analytic in the whole complex plane, we use the argument principle to judge whether the characteristic equation has roots in the right-half complex plane. We construct a new function based on the characteristic polynomial so as that the criteria take a straightforward form, and can be used conveniently. The criteria can be considered as a generalized Nyquist criterion. The criteria are sufficient and necessary for the stability of the system. The method involves no symbol calculation so as that can deal easily with the systems of which the orders and time delays are more than 3. The example case study shows that the criteria can judge whether a LTI system is stable exactly, for any given time delays.

关键词： Multiple time delays Stability Linear time invariant systems

作者: Shaobu Wang Quanyuan Jiang Yiqun Miao

作者单位: Zhejiang University, Hangzhou 310027, China

会议类型: 国际会议

会议名称: 2009年中国控制与决策会议(2009 Chinese Control and Decision Conference)

会议地点: 广西桂林

会议语种:英文

页码: 5685-5690

在线出版日期: 2009-06-17（万方平台首次上网日期，不代表论文的发表时间）