不确定中立随机分布时滞系统的鲁棒H_∞控制

Robust H_∞ Control of Uncertain Neutral Stochastic Distributed Time-Delay Systems

针对一类不确定中立随机分布时滞系统,利用随机Lyapunov稳定性理论和It微分法则,推导出系统的随机鲁棒可镇定的充分条件,并进一步给出了鲁棒H∞控制器存在的充分条件.镇定控制器主要采用状态反馈的方法来设计,从而保证了闭环系统的渐进稳定性.文中的研究结果以线性矩阵不等式的形式给出,算例表明了文中控制器设计方法的正确性和适用性.

In this paper,the sufficient condition of stochastic robust stabilization of a class of uncertain neutral stochastic distributed time-delay systems is proposed by means of the stochastic Lyapunov stability theory and the It differential rule,and the sufficient condition of the robust H∞ controller is presented. By adopting the state feedback technique,a stabilization controller is then designed,which makes the close-loop systems asymptotically stable.All the results in this paper are expressed in the form of linear matrix inequality.A numerical example is finally presented to illustrate the correctness and applicability of the proposed method.