一类带有变时滞的广义切换系统的滑模控制  

Sliding mode control for a class of singular switched systems with time-varying delay

作　　者：肖会敏[1] 赵林[2] 王春花[2] 

机构地区：[1]河南财经学院信息与系统工程研究所,郑州450002 [2]中国海洋大学数学科学学院,山东青岛266071

出　　处：《控制与决策》2011年第3期376-380,共5页Control and Decision

基　　金：国家自然科学基金项目(60774041);河南省基础与前沿技术研究项目(0723004101 10).

摘　　要：研究一类具有非匹配不确定性和变时滞的广义切换系统的滑模控制问题.首先,基于Lyapunov稳定性理论和线性矩阵不等式(LMI)技术,针对每个子系统设计对应的积分型滑模面,给出了每个滑动模态方程鲁棒渐近稳定的充分条件;然后,设计了滑模控制器及切换规则,使得闭环系统的状态能够到达滑模面上,产生滑动模态;最后以仿真实例说明了所提出方法的有效性.The sliding mode control problem for a class of singular switched systems with mismatched uncertainty and time-varying delay is studied. Firstly, based on Lyapunov stability theory and linear matrix inequality techniques, integraltype sliding surface is designed for each subsystem, and the sufficient condition of robust asymptotic stability is deduced for each sliding mode dynamic equation. Then sliding mode controller and a set of switching laws are devised to insure the reachability of sliding mode for the closed-loop system, and thus the sliding mode dynamics is resulted. Finally, a numerical example shows the effectiveness of the proposed approaches.

关 键 词：切换系统 广义系统 变时滞 积分型滑模 不确定 线性矩阵不等式 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]