滑模控制一类非线性分布式时滞系统  

Sliding mode control for a class of nonlinear systems with distributed delay

作　　者：吴立刚[1,2] 胡跃明[1] 

机构地区：[1]华南理工大学自动化科学与工程学院,广东广州510640 [2]哈尔滨工业大学大学空间控制与惯性技术研究中心,黑龙江哈尔滨150001

出　　处：《控制理论与应用》2008年第6期1151-1154,共4页Control Theory & Applications

基　　金：中国博士后科学基金资助项目(20070420139);中国博士后科学基金特别资助项目(200801253);国家自然科学基金资助项目(60804002).

摘　　要：针对一类状态不可测的非线性不确定分布式时滞系统,给出了系统滑动模态鲁棒渐近稳定的充分条件.设计了一类滑模观测器,同时采用线性矩阵不等式的处理方法给出了该观测器存在的充分条件.再应用滑模控制的趋近率方法和基于观测器所得到的估计状态,综合了一类滑模控制器.该控制器同时保证了估计状态下的滑模面和估计误差状态下的滑模面的渐近可达性.The design problems of sliding mode observer and the observer-based controller are addressed for a class of uncertain nonlinear systems with distributed delays. According to the sliding mode control theory, we propose a sufficient condition of robust asymptotic stability for the sliding mode dynamics. A sliding mode observer is designed, and the sufficient condition is given for the existence of such an observer in terms of linear matrix inequality （LMI）. Based on the observed states, a controller is synthesized by using the sliding mode control theory and the reaching law technique. The proposed control scheme guarantees the reachability of the sliding surfaces defined in both the observed state space and the observed state-error space.

关 键 词：滑模控制 状态测器 分布式时滞 非线性 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]