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.
出处
《数学的实践与认识》
CSCD
北大核心
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
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
Time-varying uncertain periodic generalized systems
robust H∞ control
linear matrix inequalities （LMI）
generalized quadratic stabilizability
