一类离散双线性系统的改进H∞控制  

A new approach to H∞control of a class of discrete bilinear systems

作　　者：李阳[1] LI Yang(College of Concord,Fujian Normal University,Fuzhou,350117,China)

机构地区：[1]福建师范大学协和学院,福州350117

出　　处：《闽西职业技术学院学报》2021年第3期100-103,117,共5页Journal of Minxi Vocational and Technical College

基　　金：福建省教育厅中青年教师教育科研项目(课题编号:JAT191120)。

摘　　要：研究了一类离散双线性系统的稳定性和H∞控制器设计问题。通过提出一种新的李雅普诺夫函数阵构建方法,引入新状态变量,使得求解的保守性低。采用线性矩阵不等式方法给出系统的二次稳定及H∞状态反馈控制器存在的充分条件。数值仿真结果表明,此方法具有降低保守性,使得求解的自由度增加的优点。The stability and H∞controller design for a class of discrete bilinear systems are studied.A new Lyapunov function matrix construction method is proposed and new state variables are introduced,which makes the solution less conservative.The quadratic stability of the system and the sufficient condition for the existence of H∞feedback controller are given by using linear matrix inequality method.The numerical simulation results show that this method has the advantages of reducing the conservatism and increasing the degree of freedom of solution.

关 键 词：离散双线性系统 H∞ 李雅普诺夫 保守性 二次稳定 

分 类 号：O231[理学—运筹学与控制论] TP271.8[理学—数学]