CAJ | 학술논문

针对一类含有变时滞和非匹配不确定参数的随机广义Markovian跳系统，提出一种滑模控制的方案。首先构造不带跳变的切换函数，利用线性矩阵不等式给出该系统随机鲁棒渐近稳定的充分条件；然后，为使闭环系统的状态轨迹在有限时间内到达切换面，利用Lyapunov稳定性方法设计了滑模控制器及切换规则；最终使闭环系统产生稳定的滑动模态。数值算例验证了该方法的有效性和可行性。
침대일류함유변시체화비필배불학정삼수적수궤엄의Markovian도계통，제출일충활모공제적방안。수선구조불대도변적절환함수，이용선성구진불등식급출해계통수궤로봉점근은정적충분조건；연후，위사폐배계통적상태궤적재유한시간내도체절환면，이용Lyapunov은정성방법설계료활모공제기급절환규칙；최종사폐배계통산생은정적활동모태。수치산례험증료해방법적유효성화가행성。
A sliding mode control scheme was proposed for a class of stochastic singular Markovian jump systems with time-varying delays and mismatched uncertain parameters.A switching function without Markovian jump were construc-ted at first, and a sufficient condition of the stochastically robust asymptotic stability was obtained for the system in terms of linear matrix inequalities( LMIs) .Secondly, sliding mode controllers and switching laws are designed by the Lyapunov stability method to make state trajectories of the closed-loop system reach switching surfaces in finite time. Finally, the stable sliding mode dynamics was resulted for the closed-loop system.The proposed scheme was testified to be effective and feasible by a numerical example.