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Robustness Analysis of Discrete-time Indirect Model Reference Adaptive Control with Normalized Adaptive Laws
  • ISSN号：0254-4156
  • 期刊名称：《自动化学报》
  • 时间：0
  • 分类：TP273.2[自动化与计算机技术—控制科学与工程;自动化与计算机技术—检测技术与自动化装置] TP271.8[自动化与计算机技术—控制科学与工程;自动化与计算机技术—检测技术与自动化装置]
  • 作者机构：[1]Department of Physics and Information Engineering, Jining University, Qufu 273155, PRC, [2]School of Electrical Engineering and Automation, Xuzhou Normal University, Xuzhou 221116, PRC
  • 相关基金：This work is supported by National Natural Science Foundation of China （No. 60774010, 10971256, 60974028）, Natural Science Foundation of Jiangsu Province （No. BK2009083）, Program for Fundamental Research of Natural Sciences in Universities of Jiangsu Province （No. 07KJB510114）, Shandong Provincial Natural Science Foundation of China （No. ZR2009GM008）, and Natural Science Foundation of Jining University （No. 2009KJLX02）.
作者： Qing-Zheng Gao[1], Xue-Jun Xie[2]
关键词： 模型参考自适应控制, 离散时间系统, 鲁棒性分析, 自适应律, 间接型, 参数估计算法, MRAC方案, 离散信号, Discrete-time systems, model reference adaptive control （MRAC）, swapping lemmas, stability, robustness
中文摘要：

为有柔韧的间接模型的动力学和围住的骚乱，设计和分析引用的 unmodeled 的分离时间的系统的一个类，有规范的适应法律的适应控制(MRAC ) 被调查。主要工作包括三部分。第一，这被显示出构造参数评价算法不仅拥有传统的评价算法的象那些的一样的性质，而且在零避免分割的可能性。由建立在工厂参数估计和控制器参数估计之间的一种关系，第二，后者的一些类似的性质也被建立。由在分离时间的系统上使用在使正常化的信号和靠近环的系统，和一些重要数学工具的所有信号之间的关系，作为在连续时间的案例中，第三，到分离间接柔韧的 MRAC 计划的系统的稳定性和坚韧性分析途径严厉地被开发。

英文摘要：

For a class of discrete-time systems with unmodeled dynamics and bounded disturbance, the design and analysis of robust indirect model reference adaptive control （MRAC） with normalized adaptive law are investigated. The main work includes three parts. Firstly, it is shown that the constructed parameter estimation algorithm not only possesses the same properties as those of traditional estimation algorithms, but also avoids the possibility of division by zero. Secondly, by establishing a relationship between the plant parameter estimate and the controller parameter estimate, some similar properties of the latter are also established. Thirdly, by using the relationship between the normalizing signal and all the signals of the closed-loop system, and some important mathematical tools on discrete-time systems, as in the continuous-time case, a systematic stability and robustness analysis approach to the discrete indirect robust MRAC scheme is developed rigorously.

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期刊信息
  • 《自动化学报》
  • 中国科技核心期刊
  • 主管单位:中国科学院
  • 主办单位:中国自动化学会 中国科学院自动化研究所
  • 主编：王飞跃
  • 地址：北京东黄城根北街16号
  • 邮编：100717
  • 邮箱：aas@ia.ac.cn
  • 电话：010-64019820
  • 国际标准刊号：ISSN：0254-4156
  • 国内统一刊号：ISSN：11-2109/TP
  • 邮发代号:2-180
  • 获奖情况:
  • 1997年获全国优秀期刊奖,1985、1990、1996、2000年获中国科学院优秀期刊二等奖,2002年获国家期刊奖
  • 国内外数据库收录:
  • 美国数学评论（网络版）,德国数学文摘,荷兰文摘与引文数据库,美国工程索引,日本日本科学技术振兴机构数据库,中国中国科技核心期刊,中国北大核心期刊（2004版）,中国北大核心期刊（2008版）,中国北大核心期刊（2011版）,中国北大核心期刊（2014版）,中国北大核心期刊（2000版）
  • 被引量:27550