Stability Analysis of Linear Continuous Uncertain System with State Saturation
|更新时间:2026-07-10
|
Stability Analysis of Linear Continuous Uncertain System with State Saturation
Vol. 17, Issue 2, Pages: 31-35(2012)
作者机构:
1. 哈尔滨理工大学应用科学学院
2. 大庆师范学院发展规划处
作者简介:
基金信息:
DOI:
CLC:TP13
Published:2012
稿件说明:
移动端阅览
ZHANG Xiang-lin, CHEN Dong-yan. Stability Analysis of Linear Continuous Uncertain System with State Saturation[J]. 2012, 17(2): 31-35.
DOI:
ZHANG Xiang-lin, CHEN Dong-yan. Stability Analysis of Linear Continuous Uncertain System with State Saturation[J]. 2012, 17(2): 31-35.DOI:
Stability Analysis of Linear Continuous Uncertain System with State Saturation
摘要
本文研究带有不确定性的线性状态饱和系统的鲁棒稳定性
针对不确定性参数满足的范数有界不确定性结构
利用Lyapunov方法
结合状态饱和函数的凸组合表示
给出了系统在原点大范围渐近稳定的充分条件
并将该条件转化为线性矩阵不等式形式.进而给出了系统状态反馈控制器的设计方法
以及判断系统鲁棒稳定性和设计状态反馈控制器的算法
并利用数值算例及Matlab仿真证明了算法的有效性.
Abstract
The robust stability problem is studied for state saturation system with uncertainties.For norm bounded uncertainty
the sufficient condition which the system is globally asymptotically stable is obtained by using Lyapunov method and the convex combination of state saturation function.Then the sufficient condition is converted to linear matrix inequalities(LMIS).Further more
the state feedback controller which makes the system globally asymptotically stable is designed