伊藤型随机时滞系统的滑模控制

Sliding Mode Control for It Stochastic Time-Delay Systems

考虑存在状态和输入时滞情况下It随机系统的滑模控制问题。通过设计一个新的切换函数,不仅可以有效解决存在状态和输入时滞情况下随机系统的滑模控制器的设计问题,而且可以保证系统状态轨迹从初始时刻就发生滑模运动,从而使得系统在整个状态空间上都具有不变性。利用线性矩阵不等式给出了保证滑模动态依概率渐近稳定的充分条件,最后给出了数值仿真结果。

This paper deals with the problem of sliding mode control （SMC） for Itō stochastic system with state and input delays. A novel switching function is constructed. This function not only effectively solves the design of SMC law for stochastic systems with state and input delays, but also guarantees that the system initially lies on the specified sliding surface such that the robustness of the system can be linear matrix inequality （LMI）, a sufficient condition for the asymptotic stability （in probability） of sliding motion is derived. A simulation example is shown to illustrate the proposed method.