摘要
针对一类对象模型具有非匹配不确定性,且同时具有状态时滞和输入时滞的线性系统,基于LMI方法,提出了系统存在滑动模态时滞相关的充分条件,考虑到在处理输入时滞时引入了未知扰动,进一步设计了对扰动参数具有自适应估计能力自适应滑模控制器,该方法保证了闭环系统鲁棒渐近稳定。仿真结果进一步证实了该控制策略的可行性。
For a class of unmatched uncertain linear systems with state delay and input delay, a sufficient condition with delay-dependent is proposed for the existence of sliding surface in terms of linear matrix inequalities (LMIs) , correspondingly, based on which a new adaptive sliding mode controller is also developed for reaching motion by using Lyapunov stability theorem. The control strategy guarantees robust asymptotic stability of the closed-loop system, and numerical example is included to demonstrate the superiority of the obtained results.
出处
《电机与控制学报》
EI
CSCD
北大核心
2005年第5期443-447,451,共6页
Electric Machines and Control
基金
国家自然科学基金资助项目(69874008)
关键词
时滞相关
滑模控制
线性矩阵不等式
非匹配不确定性
自适应律
delay-dependent
sliding mode control
linear matrix inequalities (LMIs)
unmatched uncertainties
adaptive law