【作者】 郑敏； 费树岷；

【Author】 Zheng Min, Fei Shumin Southeast University Department of Automation, Nanjing 210096

【机构】 东南大学自动控制系自动化研究所；

【摘要】 对于多状态时滞线性系统,本文以LMI形式给出了一种保守性小的渐近稳定性条件,与以往的方法相比,避免了对一些交叉项进行放大处理从而导致保守性的缺点,并且LMI中待求解的变量少,形式简洁。同时分析了该系统的 H∞性能,给出了系统具有给定H∞性能γ的条件。并利用这些条件研究时滞系统的带记忆状态反馈控制器的设计问题,通过求解相应的LMI,即可求得满足设计要求的状态反馈控制器．实例表明了本文给出的条件保守性较小,求解方便。更多还原

【Abstract】 An improved asymptotic condition for multiple-state delays systems in terms of a strict linear matrix inequality is presented. Unlike previous methods, the new methods avoids bounding certain cross terms which often leads to conservatism. At the same time, the new method involves fewer variables in LMI conditions . And the condition of γ as the H∞ performance of this kind of system is provided. These conditions are used to derive an efficient state feedback controller with memoryless and memory state in terms of LMIs. Examples are provided to demonstrate the reduced conservatism of the proposed conditions.更多还原