摘要
研究了一类不确定奇异时滞Lur′e系统的非脆弱保性能控制器设计问题.将非脆弱思想引入到非线性部分具有区间限制、且带有不确定项的奇异时滞Lur′e系统中.运用线性矩阵不等式(LMI)方法,给出了奇异时滞Lur′e系统的非脆弱保性能控制器存在的充分条件和相应的控制器,同时,给出了系统的最小性能指标.最后,用数值算例验证了该方法的有效性.
In this paper,the problem of non-fragile guaranteed cost controller design for a class of uncertain singular Lur′e systems with time-delay is discussed.The idea of non-fragile guaranteed cost controller is introduced to uncertain singular Lur′e systems with time-delay and sector restricted nonlinearities.Based on Linear Matrix Inequality（LMI） techniques,the sufficient conditions for the existence of non-fragile guaranteed cost controller and the corresponding controller are addressed.Simultaneously,the minimum guaranteed cost specification is proposed. At last,a numerical example is illustrated to demonstrate the effectiveness of this method.
出处
《汕头大学学报（自然科学版）》
2011年第2期12-22,共11页
Journal of Shantou University：Natural Science Edition
基金
国家自然科学基金(10971123)
陕西省自然科学基础研究计划项目(SJ08A20)
