Lyapunov-Krasovskii Functionals for Predictor Feedback Control of Linear Systems with Multiple Input Delays

摘要：

　　This paper is concerned with the Lyapunov-Krasovskii functional construction of linear control systems with multiple input delays.By transforming the predictor feedback control systems into a delay-free linear system with external inputs,a Lyapunov-Krasovskii functional is constructed in terms of a set of linear matrix inequalities(LMIs).It is shown that the solvability of this set of LMIs is equivalent to the asymptotic stability of the delay-free linear system induced from the predictor feedback control system.The proposed Lyapunov-Krasovskii functional is also found to be an ISS Lyapunov-Krasovskii functional for the predictor feedback control systems.An example is worked out to validate the effectiveness of the proposed method.

关键词： Asymptotic stability Lyapunov-Krasovskii functionals Predictor feedback Time-delay systems

作者: Zhao-Yan Li Bin Zhou James Lam

作者单位: Department of Mathematics,Harbin Institute of Technology,Harbin,150001,P.R.China Center for Control Theory and Guidance Technology,Harbin Institute of Technology,Harbin,150001,China Department of Mechanical Engineering,University of Hong Kong,Hong Kong

会议类型: 国际会议

会议名称: The 33th Chinese Control Conference第33届中国控制会议

会议地点: 南京

会议语种:英文

页码: 6136-6141

在线出版日期: 2014-07-28（万方平台首次上网日期，不代表论文的发表时间）