Sliding mode control for Itô stochastic systems with Markovian switching
Sliding mode control for Itô stochastic systems with Markovian switching
复制标题
DOI：
10.1016/j.automatica.2007.02.023
复制
发表时间：
2007
期刊：
影响因子：
--
通讯作者：
Y. Niu;Daniel W. C. Ho;Xingyu Wang
中科院分区：
文献类型：
--
作者：
Y. Niu;Daniel W. C. Ho;Xingyu Wang
研究了一类具有马尔可夫切换的非线性不确定随机系统的滑模控制问题。通过引入特定的矩阵，建立了各模态对应的滑动面之间的联系。此外，本滑模控制器包括模式的转移率可以科普马尔可夫切换的影响。利用带等式约束的线性矩阵不等式（LMI）方法，得到了在给定滑动面上的滑动运动是随机稳定的且具有γ-扰动衰减水平的充分条件.最后，通过数值算例说明了该方法的适用性.
This paper deals with the problem of sliding mode control (SMC) for a class of nonlinear uncertain stochastic systems with Markovian switching. By introducing some specified matrices, the connections among the designed sliding surfaces corresponding to every mode are established. Furthermore, the present sliding mode controller including the transition rates of modes can cope with the effect of Markovian switching. By means of linear matrix inequalities (LMIs) with equality constraint, sufficient conditions are derived such that the sliding motions on the specified sliding surfaces are stochastically stable with γ-disturbance attenuation level. Finally, a numerical example is given to illustrate the applicability of the present method.