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.