具有非线性干扰的随机中立型系统的滑模控制

摘要

The stabilization problem of sliding mode control for neutral time-delay stochastic systems with distributed delays and nonlinear perturbations is concerned.By selecting a sliding surface depending on the current state and delayed state,and by linear matrix inequality approach,a sufficient condition for mean-square asymptotic stabilization of stochastic neutral delay systems is presented.According to the reaching condition,the sliding mode control method is proposed.A numerical example shows that the proposed method is effective and applicable.%文章研究了具有分布时滞和非线性干扰的随机中立型时滞系统的滑模控制的稳定问题.由现行状态和时滞状态选择一类滑模表面,根据线性矩阵不等式法,得到了一个关于随机中立型系统的均方渐近稳定性判据,并根据达到的条件建立了滑模控制方法.数值算例验证了此方法的可行性和有效性.