摘要
针对一类分布时滞系统,研究了自适应滑模控制问题。根据分布时滞的特点,构造了适当的Lyapunov泛函,采用线性矩阵不等式方法给出了闭环系统渐近稳定的充分条件。构造了自适应滑模控制器,使系统满足滑模到达条件。设计了时滞独立的积分滑模面并简化了滑模控制器的设计。仿真算例验证了方法的有效性。
Based on a class of distributed delay systems, an adaptive sliding mode controller is proposed. According to the distributed delays, a suitable Lyapunov-Krasovskii functional is constructed, and the sufficient conditions of the asymptotical stability of the closed, loop systems are expressed in linear matrix inequalities. The adaptive sliding mode controller is constructed to satisfy the sliding mode reaching conditions. The delay-independent integral sliding mode is obtained and the sliding mode controller is simplified by the method. A numerical example is given to illustrate the validity of the proposed method.
出处
《科技导报》
CAS
CSCD
北大核心
2012年第22期65-67,共3页
Science & Technology Review
基金
广西自然科学基金资助项目(2012GXNSFBA053003)
广西教育厅基金资助项目(201010603R08)
关键词
分布时滞
自适应控制
积分滑模
distributed delay
adaptive control
integral sliding mode
