具有非线性干扰的随机中立型系统的滑模控制  

Sliding mode control for stochastic neutral systems with nonlinear perturbations

作　　者：陶玉[1] 焦贤发[1] 

机构地区：[1]合肥工业大学数学学院,安徽合肥230009

出　　处：《合肥工业大学学报（自然科学版）》2013年第7期883-887,共5页Journal of Hefei University of Technology：Natural Science

基　　金：教育部科学技术研究重大资助项目(309017)

摘　　要：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。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.

关 键 词：滑模控制 随机中立系统 非线性干扰 均方渐近稳定 

分 类 号：O211.6[理学—概率论与数理统计]