一类非线性不确定时滞系统的时滞相关保性能鲁棒控制

广东工业大学学报 ›› 2007, Vol. 24 ›› Issue (4): 30-34.

一类非线性不确定时滞系统的时滞相关保性能鲁棒控制

广东工业大学应用数学学院；广东工业大学应用数学学院广州广东510090；广州广东510090；

出版日期:2007-11-08 发布日期:2007-11-08

The Guaranteed Cost Robust Control of Delay-dependent for a Class of Nonlinear Systems with Time-delay and Uncertainty

(College of Applied Mathematics,Guangdong University of Technology,Guangzhou 510090,P.R.China)

Online:2007-11-08 Published:2007-11-08

摘要/Abstract

摘要： 针对一类带有非线性摄动的不确定时滞系统,采用线性矩阵不等式处理方法,利用稳定性理论,给出了系统的鲁棒保性能状态反馈控制器存在的条件.所设计的保性能控制器保证了对所有容许的不确定性不仅使得相应的闭环系统达到鲁棒稳定,也能保证闭环成本不超过某个界.举例说明了所给方法的正确性. 更多还原

关键词: 非线性摄动；不确定性时滞系统；时滞相关；保性能控制；线性矩阵不等式LMI；

Abstract: The guaranteed cost robust control(GCC) problem is studied regarding a class of nonlinear systems with time-delay and uncertainty.Based on the LMI and Lyapunov stability theory,the existing conditions of the guaranteed cost controllers are given,which make the closed-loop systems stable for all admissible uncertainties,guaranteeing the cost bounded in a limitation.At last,some examples are presented to illustrate the validity of this approach.

Key words: non-linear disturbance； uncertaintytime-delay system； delay-dependent； guaranteed cost control(LMI).；

胡南辉；金朝永；罗亮； . 一类非线性不确定时滞系统的时滞相关保性能鲁棒控制[J]. 广东工业大学学报, 2007, 24(4): 30-34.

HU Nan-hui,JIN Chao-yong,LUO Liang . The Guaranteed Cost Robust Control of Delay-dependent for a Class of Nonlinear Systems with Time-delay and Uncertainty[J]. Journal of Guangdong University of Technology, 2007, 24(4): 30-34.

参考文献

[1] 张先明,吴敏,何勇. 不确定线性多时变时滞系统的时滞相关鲁棒控制[J]. 控制与决策. 2004(05)

[2] 贾新春,郑南宁,程兵,袁泽剑. 非线性时滞系统的保性能鲁棒稳定性和鲁棒稳定控制——时滞相关情形[J]. 自然科学进展. 2003(09)

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