CAJ | 학술논문

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.
연구일류불학정수궤시체계통,기우활모공제적무원화문제.통과선취일개합괄적Lyapunov-Krasovskii범함병인입약간자유권구진,이선성구진불등식적형식급출료폐배계통대우소유윤허적불학정성로봉수궤은정차무원적시체의뢰충분성조건.재차기출상설계료활모공제기.수치례자표명료해활모공제기적유효성.
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.