区间Lurie时滞系统鲁棒绝对稳定性的LMI方法  

LMI Approach for Robust Stability of Interval Lurie Control Systems With Time-Delay

作　　者：何勇[1] 吴敏[1] 

机构地区：[1]中南大学信息科学与工程学院,湖南长沙410083

出　　处：《系统工程与电子技术》2002年第12期67-70,共4页Systems Engineering and Electronics

基　　金：博士点基金资助课题 (2 0 0 0 5 3 3 0 3 )

摘　　要：对于区间Lurie时滞控制系统 ,构造了关于Lurie型Lyapunov泛函中正定矩阵和积分项系数的线性矩阵不等式 (LMI) ,通过LMI的解构造的Lyapunov泛函来保证系统的鲁棒绝对稳定性 ,不必选择和调整参数。分别讨论了无穷扇形角和有限扇形角的情形 ,所获得的结果适用于系统具有多个非线性执行机构的情形。最后给出一个实例说明本方法的有效性 ,并通过实例分析了扇形角的大小与鲁棒稳定度的关系。A LMI for positive definite matrix and the coefficients of the integral items of the Lurie type Lyapunov function for interval Lurie control systems with time delay is given. The Lyapunov function constructed by the solution of the LMI is adopted to guarantee the robust stability of the systems, and the parameters don't need to be readjusted. The case of the finite sector and the case of the infinite sector are discussed respectively, and the conclusion is applicable to the case of multiple non linearites. Finally, an example is provided to demonstrate the effectiveness of the proposed method, and the relation between the size of the sector and the robustness is analyzed.\;

关 键 词：LMI方法 时滞 LURIE控制系统 绝对稳定 鲁棒性 线性矩阵不等式 

分 类 号：TP27[自动化与计算机技术—检测技术与自动化装置]