摘要
提出求解时滞系统的H~∞状态反馈控制问题的代数方法。基于代数Riccati方程,给出了时滞系统的闭环传递函数H~∞范数小于等于某一给定界γ的充分条件,并通过适当构造Lyapunov函数,证明了闭环时滞系统是渐近稳定的。
This paper presents an algebraic approach for solving H∞ state feedback control problem for time delay systems. Based on algebraic Riccati equation, a sufficient condition is given that H# norm of the closed - loop transfer function is not greater than a prescribed lever γ. The closed - loop time delay system is proved to be asymptotically stable through properly constructing a Lyapunov function.
出处
《控制与决策》
EI
CSCD
北大核心
1997年第1期68-72,共5页
Control and Decision
基金
福建省自然科学基金资助项目
关键词
时滞系统
H^∞
状态反馈控制
代数
RICCATI方程
time delay system, H_∞ state feedback control, algebraic Riccati equation, Nevanlinna -pick interpolation, Lyapunov function