摘要
考虑系统外界干扰、系统参数摄动等非线性扰动环节对中立型时滞系统的H∞影响,提出基于Lyapunov稳定性理论的鲁棒H∞控制器的设计思想。利用线性矩阵不等式(LMI)方法,给出了该类具有状态非线性不确定性中立型时滞系统的鲁棒H∞控制器的设计实例。在非线性不确定函数满足增益有界的条件下,得到了该类时滞系统满足鲁棒H∞性能的一个充分条件。通过求解一个线性矩阵不等式LMI,即可获得鲁棒H∞控制器。仿真结果表明了基于Lyapunov稳定性理论,LMI技术设计的控制器克服了系统外界非线性干扰或系统本身非线性参数摄动的影响,实现了闭环系统的H∞性能条件下的渐近稳定,满足了该系统鲁棒H∞控制的要求。
Considering the outside disturbances and the system nonlinear parameter perturbations,the design of robust H∞ controller is studied for a class of neutral system with time-delay based on Lyapunov stability theory.Using the linear matrix inequality（LMI） method,the robust H∞ controller for a class of neutral system with time-delay and uncertain nonlinear perturbations is designed.A sufficient condition for such systems is presented,and the robust H∞ controller is obtained.The simulation result shows that the controller has overcome the outside disturbances and system nonlinear parameter perturbations.The H∞ performance of closed-loop system is perfectly realized,so the proposed controller is effective.
出处
《控制工程》
CSCD
北大核心
2010年第5期587-590,共4页
Control Engineering of China
基金
国家自然科学基金资助项目(10701042)
南京财经大学校级科研基金资助项目(C0938)
关键词
中立系统
时滞
非线性不确定性
线性矩阵不等式
H∞控制
neutral system
time-delay
uncertain nonlinear perturbations
linear matrix inequality
H∞control
