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基于线性矩阵不等式的动态反馈抗饱和补偿设计
引用本文:戴丹,王景成.基于线性矩阵不等式的动态反馈抗饱和补偿设计[J].上海交通大学学报,2004,38(5):787-790.
作者姓名:戴丹  王景成
作者单位:上海交通大学,自动化系,上海,200030
基金项目:国家自然科学基金资助项目(60004001、60374011),国家高技术研究发展计划(863)项目(2002AA412130),留学回国人员科研启动基金项目
摘    要:将非线性环节嵌入线性控制器的互质因子中,提出了一种基于线性矩阵不等式(LMI)的动态反馈抗饱和补偿设计方法。这种设计方法将饱和系统中控制器输出与被控对象输入不匹配值的L2范数作为优化性能指标,使得系统在饱和时的能量得到迅速补充,并兼顾系统的稳定性。这样,抗饱和控制器的设计方法就转换为寻找LMI中变量次优解的问题。通过实验仿真,验证了这种方法的实用性与优良的控制性能。

关 键 词:线性矩阵不等式  动态反馈  饱和补偿  抗饱和无波纹
文章编号:1006-2467(2004)05-0787-04
修稿时间:2003年5月14日

Anti-windup Compensation Design Using Linear Matrix Inequality(LMI)-Based Dynamic Feedback
DAI Dan,WANG Jing-cheng.Anti-windup Compensation Design Using Linear Matrix Inequality(LMI)-Based Dynamic Feedback[J].Journal of Shanghai Jiaotong University,2004,38(5):787-790.
Authors:DAI Dan  WANG Jing-cheng
Abstract:A novel dynamic feedback compensation design was proposed for anti-windup. In this design, the anti-windup controller is characterized as the performance of the anti-windup augmentation by the L _2 norm of the deviation between the controller output and the plant input, as well as to guarantee the stability of the system based on the unified framework. These could be deduced into the form of LMIs, from which the parameters are obtained to construct the anti-windup controller directly. The effectiveness of the proposed method was shown via a simulation example by comparing the results to other existing anti-windup techniques.
Keywords:linear matrix inequality(LMI)  dynamic feedback  saturation compensation  anti-windup bumpless transfer(AWBT)
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