摘要
对一类具有范数有界不确定性的线性连续随机系统,研究了使闭环系统所有极点位于一给定圆盘,且系统稳态状态方差不超过给定上界性能指标约束的静态输出反馈控制器设计问题。利用矩阵变量变换得到关于静态输出反馈控制律存在且可解的充分条件,给出基于线性矩阵不等式(LMI)组约束下的输出反馈控制器的设计方法。
The problem of robust regional pole and variance-constrained control via static output controller for continuous stochastic systems in the presence of parametric uncertainties is studied and solved. Sufficient conditions for the stability of the closed-loop system and the existence of such controller are derived and shown to be equivalent to the solvability of a certain linear matrix inequality (LMI) system by means of changing of matrix variables. Furthermore, the parameterized representation of such controller based on two design schemes is characterized in terms of the feasible solutions to the LMIs.
出处
《合肥工业大学学报（自然科学版）》
CAS
CSCD
2004年第9期1103-1106,共4页
Journal of Hefei University of Technology：Natural Science
基金
安徽理工大学青年教师科研基金项目资助
关键词
方差约束
静态输出反馈
线性矩阵不等式
variance constraint
static output feedback
linear matrix inequality(LMI)
