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一类线性不确定定常时滞系统的鲁棒镇定
张慧凤1,2, 王乃信1, 周敏姑3
1.西北农林科技大学 生命科学学院;2.烟台师范学院 数学与信息学院;3.西北农林科技大学 机械与电子工程学院
摘要:
研究了一类带有非线性扰动的线性不确定时滞系统的鲁棒镇定问题。在闭环系统的稳定性结果基础上,给出了时滞系统的鲁棒控制策略,推导出控制律存在的一个充分条件,该条件被进一步等价地转化为一个线性矩阵不等式的可解性问题。根据Lyapunov稳定性原理所设计的控制器确保了闭环系统渐近稳定。最后,通过数值例子说明了此方法的正确性与有效性。
关键词:  时滞系统  状态反馈  鲁棒镇定  时滞依赖
DOI:
分类号:TP273
基金项目:
Robust stabilization for linear uncertain time-delay systems with nonlinear perturbation
ZHANG Hui-feng  WANG Nai-xin  ZHOU Min-gu
Abstract:
The problem of robust stabilization for linear uncertain time-delay systems with nonlinear perturbation is reviewed.Based on Lyapunov stability theory,the delay dependent stabilization criteria for the system is developed.Robust controller is given by analyzing the stability of closed-loop system.The sufficient condition for the existence of controller is deduced.Then,the condition is further equivalent to the solvability of certain linear matrix inequality(LMI).Robust controller is given to guarantee stability of closed-loop system.Finally,an example is employed to illustrate the validity and effectiveness of the proposed method.
Key words:  time-delay system  state feedback  robust stabilization  delay dependent