摘要
针对一类范数有界时变非线性不确定性的中立型系统,将其转化为时滞广义系统。利用时滞广义系统的相关理论、Lvapunov-Krasovskii稳定性定理和线性矩阵不等式方法,通过无记忆状态反馈实现了具有H∞扰抑制的保成本控制,并给出了具有H∞干扰抑制的中立型系统保成本控制器存在的充分条件及相应的干扰抑制保成本指标。控制器的设计使得闭环系统鲁棒稳定,具有给定H∞干扰衰减度同时使给定的干扰抑制保成本指标最优。所得结论等价于一组线性矩阵不等式(LMI)的可解性问题。最后给出算例以验证设计方法的有效性。
With the help of time-delay singular systems theory, Lyapunov-Krasovskii stability theory and linear matrix inequality approach, guaranteed cost memory-less state feedback controller with disturbance attenuation H∞ performance is realized for a class of nonlinear neutral systems with norm-bounded, which is changed into time-delay singular systems. The sufficient conditions for the existence of such controller and the performance are given.A controller is designed such that the closed-loop system is robustly stable and possesses the H∞ disturbance attenuation level, and the optimal guaranteed cost upper bound is obtained. The obtained conclusion is shown to be equivalent to the feasibility of some linear matrix inequality. An example shows the effectiveness of the propesed method.
出处
《控制工程》
CSCD
2006年第3期221-223,共3页
Control Engineering of China
基金
辽宁省普通高校学科带头人基金资助项目(124210)辽宁省科技基金资助项目(2001401041)
关键词
中立型时滞系统
保成本控制
H∞控制
线性矩阵不等式
状态反馈
neutral time-delay system
guaranteed cost control
H∞ control
linear matrix inequality
state-feedback
