一类非线性切换关联大系统的分散控制器设计  

Decentralized Controllers Design for a Class of Switched Interconnected Large-scale Nonlinear Systems

作　　者：孙常春[1,2] 隋英[3] 徐启程[3] 

机构地区：[1]哈尔滨工业大学航天学院 [2]沈阳建筑大学理学院,沈阳110168 [3]沈阳建筑大学理学院

出　　处：《工程数学学报》2008年第5期919-922,共4页Chinese Journal of Engineering Mathematics

基　　金：辽宁省自然科学基金(20062003)

摘　　要：基于凸组合技术和线性矩阵不等式方法,考虑了一类非线性切换关联大系统的分散状态反馈镇定问题,大系统的关联项由线性和非线性两部分构成,在低维子系统的单个子系统均不能被镇定且存在非线性干扰的情况下,得到了切换关联大系统稳定的一个充分条件。并将其转化为求解线性矩阵不等式问题,相应给出了算法的计算机实现,进而设计出了切换关联大系统的分散控制器和分散切换策略。Based on the convex combination technique and linear matrix inequality method, the problem of decentralized state feedback stabilization for a class of switched interconnected large-scale nonlinear systems is considered. Interconnected term is composed of a linear part and a nonlinear part. Under the condition that each subsystem of low-dimensional subsystems can’t be stabilized, a suffcient condition for stabilization of switched interconnected large-scale systems is obtained and expressed as the solvability problem of a linear matrix inequality. Decentralized controllers and decentralized switching laws are designed by using a feasible algorithm.

关 键 词：非线性扰动 状态反馈 分散控制 凸组合 线性矩阵不等式 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]