不确定中立型随机多时滞系统的鲁棒镇定

Robust stabilization of an uncertain neutral stochastic systems with multiple time delays

针对具有参数不确定性的中立型随机多时滞系统,讨论了鲁棒镇定问题,其中状态反馈控制器具有分布时滞.基于Lyapunov方法,由Ito公式,并利用Schur补原理,获得了用线性矩阵不等式表示的保证闭环系统随机均方稳定的时滞相关的充分条件.通过求解线性矩阵不等式,得出了随机时滞系统的具有分布时滞的状态反馈H∞控制器.最后,用例子说明了结果的有效性.

The problem of robust stabilization for a class of neutral stochastic systems with multiple time delays and norm-bounded parameter uncertainties is studied, and the controller with distributed delays is considered in the paper. Based on the Lyapunov function, Ito for- mula and Schur theory, the delay-dependent sufficient condition ensuring the closed-loop system mean-square stable is established. The state feedback H~ controller with distributed delays of the stochastic delay system is designed by solving linear matrix inequality. The nu- merical example is provided to illustrate the effectiveness of the proposed design method.