变时滞不确定广义Markovian跳系统的滑模控制

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。

Integral sliding mode control for uncertain stochastic singular Markovian jump systems with time-varying delays

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 constructed 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.