对离散多饱和系统吸引域的估计  

Estimating the domain of attraction of discrete-time linear system with nested saturation

作　　者：王利魁[1] 杨军[2] 石胜利[2] 关新平[3] 

机构地区：[1]燕山大学理学院,河北秦皇岛066004 [2]大连理工大学电信学院,辽宁大连116024 [3]燕山大学电气工程学院,河北秦皇岛066004

出　　处：《控制理论与应用》2006年第4期649-652,共4页Control Theory & Applications

基　　金：国家自然科学基金资助项目(60174010;60404022);河北省自然科学基金资助项目(102160);河北省教育厅资助项目(2004123)

摘　　要：饱和是控制系统比较常见的现象,怎样确定它的稳定区域是大家一直以来关心的热点,关于它有大量的文献．本文采用了一种新的推导方式来处理多饱和非线性,饱和总是由内饱和到外饱和依次发生的,而这种推导正好符合这一实际情况．同时引入饱和相关李雅普诺夫函数,此函数曾经应用于离散单饱和系统,并取得了一定效果,在此,将其推广到多饱和系统．最后的仿真结果证明了方法的正确性,及与先前方法相比的优越性．Saturation is a common, but difficult to deal with, problem. Since all control devices are subject to saturation, one should pay full attention to it. In this paper, an iterative method is presented to eliminate the nested saturation from inside to outside. The stability of the closed-loop system is also proved by introducing a saturation-dependent Lyapunov function, which captures the real-time information on the severity of saturation and thus leads to less conservative estimation of the attraction domain. Finally, some numerical examples and simulations are given to show the effectiveness of this method.

关 键 词：饱和相关 不变集 嵌套饱和 凸组合 

分 类 号：O231[理学—运筹学与控制论]