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不确定非线性时滞奇异系统的鲁棒稳定控制器设计
引用本文:李文姿.不确定非线性时滞奇异系统的鲁棒稳定控制器设计[J].云南师范大学学报(自然科学版),2012,32(5):48-51.
作者姓名:李文姿
作者单位:山西大学商务学院理学系,山西太原,030031
摘    要:对一类具有变时滞的不确定非线性奇异系统,研究时滞相关的鲁棒稳定问题。利用Lya-punov函数和线性矩阵不等式工具,首先得到非线性奇异闭环系统鲁棒稳定的充分条件,然后由相应的线性矩阵不等式,给出了无记忆状态反馈稳定控制器的设计方法。最后,用数值例子说明该方法的有效性。

关 键 词:时滞非线性广义系统  不确定性  鲁棒镇定  线性矩阵不等式(LMI)

Design of the Robust Stabilization Controller for Uncertain Non-linear Singular Systems with Time-delay
LI Wen-zi.Design of the Robust Stabilization Controller for Uncertain Non-linear Singular Systems with Time-delay[J].Journal of Yunnan Normal University (Natural Sciences Edition),2012,32(5):48-51.
Authors:LI Wen-zi
Institution:LI Wen-zi(Business College of Shan Xi University,Taiyuan 030031,China)
Abstract:The problem of delay-dependent robust stabilization for a class of uncertain non-linear singular systems with time-delay is studied.Firstly,based on Lyapunov functional method and linear matrix inequality technique,a sufficient condition is given,which ensures that the singular closed-loop system is robust stable.Then,a design method for the memoryless state feedback stable controller of the system is obtained.Finally,a numerical example is given to illustrate the effectiveness of the proposed method.
Keywords:Non-linear singular systems with time-delay  Uncertainty  Robust stabilization  Linear matrix inequality
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