多变时滞不确定中立型系统的滑模控制  

Sliding Mode Control of Uncertain Neutral System with Multiple Time-varying Delays

作　　者：董翠丽 蒋威[1] 

机构地区：[1]安徽大学数学科学学院,合肥230601

出　　处：《重庆工商大学学报（自然科学版）》2015年第8期19-23,共5页Journal of Chongqing Technology and Business University:Natural Science Edition

基　　金：国家自然科学基金(11371027)

摘　　要：研究了不确定中立型系统的滑动模态控制.系统含有多个变时滞和非线性外部干扰项;根据当前状态和时滞状态给出了滑模面的设计,滑模控制器的设计保证了系统的状态轨线在有限时间内被驱动到指定的滑模面上并保持运动;再利用构造Lyapunov函数的方法给出了闭环系统渐进稳定的一个充分条件,充分条件以线性矩阵不等式的形式给出.This paper mainly researches the sliding mode control of uncertain neutral system. The systeminvolves multiple time-varying delays and nonlinear external perturbations.A sliding surface is designed based on thecurrent state and delayed state.The design of the sliding mode controller guarantees that the trajectory of system canbe driven onto the sliding surface in a finite time and maintains moving on it.By the Lyapunov function,a sufficientcondition given in the form of linear matrix inequality for asymptotic stability of the closed-loop system is obtained.

关 键 词：变时滞中立型系统 滑模控制器 线性矩阵不等式 

分 类 号：O231.2[理学—运筹学与控制论]