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脉冲切换系统的鲁棒H动态输出反馈控制
引用本文:李 娇,刘玉忠. 脉冲切换系统的鲁棒H动态输出反馈控制[J]. 控制理论与应用, 2008, 25(3): 407-413
作者姓名:李 娇  刘玉忠
作者单位:1. 沈阳师范大学数学与系统科学学院,辽宁,沈阳,110034;河北北方学院理学院,河北,张家口,075000
2. 沈阳师范大学数学与系统科学学院,辽宁,沈阳,110034
基金项目:沈阳师范大学校科研和教改项目
摘    要:考虑了脉冲切换系统的鲁棒H∞控制问题.该系统的状态矩阵和控制矩阵都有不确定性和扰动.利用线性矩阵不等式(LMI)、H∞控制理论、Lyapunov函数和变量替换方法,对这类系统给出了鲁棒稳定且具有γ鲁棒性能的充分条件.然后,使用MATLAB软件设计出H∞鲁棒动态输出反馈控制器和脉冲控制矩阵.最后通过一个仿真算例验证了文中结论的有效性.

关 键 词:不确定脉冲切换系统  动态输出反馈  Lyapunov函数  鲁棒稳定  线性矩阵不等式(LMI)
收稿时间:2006-03-20
修稿时间:2007-05-22

Robust H-infinity dynamic output feedback control for impulsive switched systems
LI Jiao and LIU Yu-zhong. Robust H-infinity dynamic output feedback control for impulsive switched systems[J]. Control Theory & Applications, 2008, 25(3): 407-413
Authors:LI Jiao and LIU Yu-zhong
Affiliation:School of Mathematics and Systems Science, Shenyang Normal University, Shenyang Liaoning 110034, China; School of Science, Hebei North University, Zhangjiakou Hebei 075000, China;School of Mathematics and Systems Science, Shenyang Normal University, Shenyang Liaoning 110034, China
Abstract:The problem of robust H-infinity control is considered for impulsive switched systems with disturbances and uncertainties in both states and control matrices.By using linear matrix inequality (LMI),H-infinity control theory, Lyapunov functions and variable transformation,we derived the sufficient conditions for this type of systems to be robustly stable with robust performance.The robust H-infinity dynamic output feedback controllers and impulsive control matrix are then designed by using MATLAB software.The numerical example illustrates the efficacy of the result in this paper.
Keywords:uncertain impulsive switched systems  dynamic output feedback  Lyapunov function  robust stabilization  linear matrix inequality(LMI)
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