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具输入时滞的非线性不确定时滞系统的鲁棒非脆弱H_∞控制
引用本文:侯晓丽,邵诚.具输入时滞的非线性不确定时滞系统的鲁棒非脆弱H_∞控制[J].信阳师范学院学报(自然科学版),2012(4):446-449.
作者姓名:侯晓丽  邵诚
作者单位:大连理工大学电信学院;郑州轻工业学院数学与信息科学系
基金项目:国家自然科学基金项目(61074020);河南省教育厅自然科学基金项目(2009A120005,2010B120013)
摘    要:针对一类具有输入时滞的非线性不确定时滞系统,研究其鲁棒非脆弱H∞控制器设计问题.在非线性不确定函数满足增益有界的条件下,利用系统过去的状态设计积分控制器.在该控制器作用下,不仅使得闭环系统渐近稳定,同时也使得从扰动到受控输出之间的传递函数的H∞范数不大于给定的指标,且所给判据是时滞相关的.最后通过一数值算例验证该控制器设计方法的有效性.

关 键 词:输入时滞  非线性不确定  鲁棒  非脆弱控制器

Robust Non-fragile H∞Control for Nonlinear Uncertain Time Delay System with Input Delay
HOU Xiao-li,SHAO Cheng.Robust Non-fragile H∞Control for Nonlinear Uncertain Time Delay System with Input Delay[J].Journal of Xinyang Teachers College(Natural Science Edition),2012(4):446-449.
Authors:HOU Xiao-li  SHAO Cheng
Institution:1(1.School of Electrical Information,Dalian University of Technology,Dalian 116085,China; 2.Department of Mathematics,Zhengzhou University of Light Industry,Zhengzhou 450002,China)
Abstract:The problem of designing robust non-fragile H∞ controller was studied for nonlinear uncertain time delay system with input delay.The integral controller was designed by the past states in the nonlinear uncertain system satisfying the gain bounded.It not only makes the closed-loop system asymptotically stable,but also makes H∞ norm not greater than a given index from the perturbation to the controlled output transfer function.And the criterion is the delay dependent.Finally,a numerical example shows the validity of the proposed method.
Keywords:input delay  nonlinear uncertain  robust  non-fragile controller
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