摘要
本文研究具有结构不确定性系统的鲁棒H∞状态反馈控制问题，这个问题的解涉及到一个代数Riccati方程．通过分析，这个问题的解与一个辅助的线性时不变系统的H∞状态反馈控制问题的解是等价的．把这一结果用于求解具有结构不确定性系统的鲁棒H∞动态输出反馈控制问题，很方便地给出只需求解两个代数Riccati方程的鲁棒H∞动态输出反馈控制问题的解．
This paper investigates robust H∞ state feedback control problem for the systems with structured uncertainty. The solution to this problem involves one algebraic Riccati equation. Through analysis it is shown that the solution to this problem is equivalent to the solution to H∞ state feedback control problem for auxiliary linear time-invariant systems. Applied this result to robust H∞ dynamic output feedback control problem for the systems with structured uncertainty, it is easy to get the solution to robust H∞ dynamic output feedback problem,which involves solving two algebraic Riccati equation.
出处
《控制理论与应用》
EI
CAS
CSCD
北大核心
1998年第1期61-68,共8页
Control Theory & Applications
基金
福建省自然科学基金!F97009
关键词
不确定性系数
反馈控制
鲁棒H∞控制
robust H_∞ state feedback control
robust H_∞ dynamic output feedback control
robust stability
algebraic Riccati equation
systems with structured uncertainty
auxiliary linear time-invariant systems
