摘要
针对状态和控制均存在滞后,同时具有未知且有界的一类时变不确定线性时滞系统,提出了一种无记忆鲁棒镇定控制器设计算法.给出了闭环系统二次稳定的充分条件,并利用一等价线性时不变系统的H∞标准问题综合方法来构造出所需的线性状态反馈控制律,即可通过求解一代数Riccati型方程来求得控制律静态增益阵,从而保证了解的存在性和可解性.
This paper presents a controller for robust stabilization of a class of uncertain linear dynamic systems with time-delays in both state and control. The uncertain systems under consideration are described by state differential equations which depend on time-varying unknown-but-bounded uncertain parameters. The sufficient conditions for quadratic stability of closed-loop systems are derived. The desired linear state feedback control law can be constructed by synthesis of an H∞ standard problem of equivalent linear time-invariant systems. That is to say, the static controller gain can be obtained by solving an algebraic Riccati equation, and thus the existence and feasibility of solution can be ensured.
出处
《自动化学报》
EI
CSCD
北大核心
1998年第4期497-501,共5页
Acta Automatica Sinica
基金
国家自然科学基金
关键词
线性时滞系统
状态反馈
鲁棒镇定控制
Uncertain linear time delay systems, robust stabilization, state feedback, quadratic stabilization, Riccati equation.