摘要
针对一类同时具有状态和控制滞后的不确定时滞系统,提出了一种新的时滞依赖型鲁棒镇定设计方法.通过引入一种新的线性状态变换,分离出时滞依赖因子,采用Lyapunov＿Krasovskii泛函方法,导出了不确定时滞系统可鲁棒镇定的时滞依赖型的新判据,所得结论以线性矩阵不等式组的解的形式表示.仿真结果表明所得结论较之已有结果更为简单,具有更小保守性,且有更广泛的应用范围,不仅可以解决小时滞问题,也可用于解决大时滞问题.
A new design approach of delay-dependent robust stabilizing control for a class of uncertain time-delay systems with time-delay in both state and control variables is provided.A new linear state transformation is first proposed to separate the delay-dependent factors out.The sufficient condition of delay-dependent robust stabilizability is then derived by the Lyapunov-Krasovskii functional method.The results are given in terms of LMI.Numerical examples are presented to show that the proposed results can be less conservative and can be used to deal with small or large delay problems.
出处
《控制理论与应用》
EI
CAS
CSCD
北大核心
2004年第3期432-434,共3页
Control Theory & Applications
基金
国家杰出青年科学基金项目(60025308)
国家教育部高等学校优秀青年教师教学与科研奖励基金.
