摘要
从Finsler引理角度,研究时滞系统的时滞相关稳定性分析和镇定问题,发现自由权矩阵方法是该研究框架的一个特例,阐明引入乘子矩阵对分析时变时滞系统稳定性的必要性,讨论乘子矩阵结构对所得结果保守性的影响,提出一些改进的基于线性矩阵不等式的稳定性判据和镇定控制器设计算法,数值算例表明所提出方法的有效性.
This paper investigates the delay-dependent stability and stabilization of time-delay systems from the view-point of Finsler’s lemma.The free-weighting matrices method is a special case of the proposed unified framework.It is necessary to introduce multiplier matrices for the stability analysis of the time-varying delay systems.The construction of the multiplier matrices affecting the conservatism of the results is discussed.Improved stability criteria and design algo-rithms for the stabilizing controller are developed in terms of linear matrix inequalities.Numerical examples illustrate the effectiveness of the proposed methods.
出处
《控制理论与应用》
EI
CAS
CSCD
北大核心
2011年第11期1577-1582,共6页
Control Theory & Applications
基金
国家自然科学基金资助项目(61174140)
湖南省教育厅科学研究基金资助项目(07C264)
