不确定时滞系统的鲁棒H_∞保性能滤波  

Robust H_∞ guaranteed cost filtering for uncertain time-delay systems

作　　者：陈云[1] 王俊宏[2] 鲁仁全[2] 

机构地区：[1]杭州电子科技大学运筹与控制研究所 [2]杭州电子科技大学信息与控制研究所,浙江杭州310018

出　　处：《浙江大学学报（工学版）》2007年第10期1664-1668,共5页Journal of Zhejiang University：Engineering Science

基　　金：国家自然科学基金资助项目(60434020;60604003)

摘　　要：为了考虑系统对外界干扰的抑制性能,对一类同时具有外界干扰和范数有界参数不确定性的时滞系统保性能滤波问题进行了研究.利用Lyapunov-Krasovskii方法,得到以线性矩阵不等式(linear matrix inequality,LMI)表示的鲁棒H∞保性能滤波器设计方法.用该方法设计的保性能滤波器使得滤波误差动态系统鲁棒稳定,且对外界干扰具有给定的抑制度.进而,将最优鲁棒H∞保性能滤波器存在的充分条件归结为一个具有线性矩阵不等式(LMIs)约束的凸优化问题.数值算例表明了所设计的滤波器对系统参数不确定性和外界干扰具有良好的抑制效果.The guaranteed cost filtering for a class of time-delay systems with both external disturbances and norm-bounded parametric uncertainties was investigated in order to consider the external disturbance attenuation performances of the systems. Based on Lyapunov-Krasovskii method, a robust H∞ guaranteed cost filter was presented in terms of linear matrix inequality （LMI）. The designed filter ensures that the filtering error dynamics was robustly stable with prescribed disturbance attenuation degree. Furthermore, the sufficient condition for existence of the optimal robust H∞ guaranteed cost filter was cast into a convex optimization problem with LMIs constraints. A numerical example showed that the designed filter has satisfactory attenuation performance to the parametric uncertainties and the external disturbances.

关 键 词：不确定时滞系统 鲁棒H∞滤波 保性能 线性矩阵不等式(LMI) 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]