摘要
本文研究了具有变时滞的非线性随机时滞系统的时滞反馈鲁棒H∞控制问题.利用时滞分割技术,构造了新的Lyapunov-Krasovskii泛函,通过It o公式,以线性矩阵不等式(LMI)的形式给出了时滞反馈鲁棒H∞控制器存在的充分条件,通过数值仿真算例说明了结论的正确性和方法的有效性.
The H∝ control problems for nonlinear stochastic systems with time-varying delay are studied in this paper. By delay partition techniques, constructing the novel Lyapunov- Krasovskii functional, using the It5 formula, the sufficient conditions for existence of delay feedback robust H∝ controller are given in terms of linear matrix inequality（LMI）. At last, the numerical example with simulation shows the correction of the results and the effectiveness of the proposed method.
出处
《数学杂志》
CSCD
北大核心
2013年第4期752-760,共9页
Journal of Mathematics
基金
国家自然科学基金资助(61104127
60904060)
冶金工业过程湖北省重点实验室基金资助(Y201101)
关键词
随机系统
时滞系统
时滞反馈
鲁棒控制
stochastic system
delay system
delay feedback
robust control
