参数不确定性广义周期时变系统的鲁棒H_∞控制  

Robust H_∞ Control for Linear Time-varying Periodic Generalized Systems with Parameter Uncertainties

作　　者：樊仲光[1] 梁家荣[2] 肖剑[3] 

机构地区：[1]河池学院教师教育学院,广西宜州546300 [2]广西大学计算机与电子信息学院,广西南宁530004 [3]华中科技大学控制科学与工程系,湖北武汉430074

出　　处：《数学的实践与认识》2013年第5期210-218,共9页Mathematics in Practice and Theory

基　　金：国家自然科学基金(61064002);教育部"新世纪优秀人才支持计划"专项基金项目(NcET-06-07561

摘　　要：研究状态矩阵和控制输入矩阵均具不确定性广义周期时变系统的鲁棒H_∞控制问题.提出参数不确定性广义周期时变系统广义可镇定和广义二次可镇定且具有H_∞性能指标的概念,利用线性矩阵不等式(LMI)方法,得到了参数不确定性广义周期时变系统广义二次可镇定且具有H_∞性能指标γ的充要条件,给出了相应的鲁棒H_∞状态反馈控制律的设计方法.最后,通过数值算例说明了设计方法的有效性.This paper focuses on the problem of robust H∞ control for linear time-varying periodic generalized systems with parameter uncertainties in both the state and input matrices. The concept of ＇generalized stabilizability＇ and ＇generalized quadratic stabilizability with H∞ performance index＇ for uncertain periodic generalized systems are put forward. In terms of linear matrix inequalities, necessary and sufficient conditions for generalized quadratic stabilization with a H∞ performance index γ are derived and the corresponding robust H∞ state feedback control law is proposed. Finally, a numerical example is given to illustrate the effectiveness of the approach.

关 键 词：不确定广义周期时变系统 鲁棒H∞控制 线性矩阵不等式(LMI) 广义二次可镇定 

分 类 号：X824[环境科学与工程—环境工程]