一类离散广义系统带有观测器的鲁棒无源控制  

Robust Passive Control of a Class of Discrete-time Singular Systems with Observer

作　　者：范桂英 肖润梅 FAN Gui-ying;XIAO Run-mei(School of Mathematics and Statistics,Shanxi Datong University,Datong Shanxi,037009)

机构地区：[1]山西大同大学数学与统计学院,山西大同037009

出　　处：《山西大同大学学报（自然科学版）》2020年第3期45-47,共3页Journal of Shanxi Datong University(Natural Science Edition)

摘　　要：主要研究一类不确定离散广义系统,设计了有观测器的控制器作出恰当的李雅普诺夫函数,根据定义得到了一个线性矩阵不等式,用Schur定理的计算方法对线性矩阵不等式进行深入讨论和计算,最后得出了所得闭环离散系统鲁棒无源的充分条件,方法可行有效。Aiming at a class of uncertain discrete-time singular systerms,the authors designed the controller with observer and made the Lyapunov function,according to the definition we got a linear matrix inequality,which was discussed and calculated using Schurtheorem.Lastly,we obtained the sufficient conditions of the closed loop discrete system robust passivity.The method is feasible and effective.

关 键 词：离散广义系统 不确定性 李雅普诺夫函数 无源控制 观测器 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]