不确定随机时滞系统的无源滑模控制

Passification for Uncertain Stochastic Time-Delay Systems Based on Sliding Mode Control

研究一类不确定随机时滞系统,基于滑模控制的无源化问题.通过选取一个合适的Lyapunov-Krasovskii泛函并引入若干自由权矩阵,以线性矩阵不等式的形式给出了闭环系统对于所有允许的不确定性鲁棒随机稳定且无源的时滞依赖充分性条件.在此基础上设计了滑模控制器.数值例子表明了该滑模控制器的有效性.

This paper is concerned with the problem of passification for a class of uncertain stochastic time-delay systems based on sliding mode control.By constructing an appropriate Lyapunov-Krasovskii functional and introducing some free-weighting matrices,some delay-dependent sufficient conditions are established in terms of linear matrix inequalities to guarantee the robust stochastic stability of the closed-loop system for all admissible uncertainties.Based on the conditions,the corresponding reaching motion controller is designed.Finally,a numerical example is presented to demonstrate the effectiveness of this control scheme.