摘要
对一类具有不确定参数的线性连续系统 ,研究使得闭环系统的稳态状态方差小于某个给定的上界 ,同时闭环极点位于一给定圆盘中的状态反馈鲁棒方差控制器设计问题 .导出了控制器存在的条件 ,并证明了该条件等价于一个线性矩阵不等式系统的可解性问题 ,进而用这组线性矩阵不等式系统的可行解给出了一组所求控制器的一个参数化表示 .据此 ,给出了具有最小能量的鲁棒方差控制器设计方法 .
This paper concerns the design problem of state feedback robust variance controllers which guarantee the closed loop poles in a specified disk and steady state variance to be less than a given upper bound for linear systems with linear fractional parameter uncertainties. Conditions for existence of such controllers are derived and it is shown that this condition is equivalent to the solvability of a certain linear matrix inequality (LMI) system.A parameterized representation of a set of desired controllers is characterized in terms of the feasible solutions to the LMI system. Based on this, the solution to a minimum energy variance controller design problem is presented.
出处
《自动化学报》
EI
CSCD
北大核心
2000年第4期509-514,共6页
Acta Automatica Sinica
基金
国家自然科学基金!( 6 9974 0 36 )
浙江省自然科学基金重点项目!( zd990 5)
关键词
区域极点配置
鲁棒控制
不确定连续系统
Constrained variance design,regional pole placement, linear matrix inequality,robust control.
