Volume 7 Number 3
August 2010
Article Contents
Qing-Zheng Gao and Xue-Jun Xie. Robustness Analysis of Discrete-time Indirect Model Reference Adaptive Control with Normalized Adaptive Laws. International Journal of Automation and Computing, vol. 7, no. 3, pp. 381-388, 2010. doi: 10.1007/s11633-010-0518-4
Cite as: Qing-Zheng Gao and Xue-Jun Xie. Robustness Analysis of Discrete-time Indirect Model Reference Adaptive Control with Normalized Adaptive Laws. International Journal of Automation and Computing, vol. 7, no. 3, pp. 381-388, 2010. doi: 10.1007/s11633-010-0518-4

Robustness Analysis of Discrete-time Indirect Model Reference Adaptive Control with Normalized Adaptive Laws

Author Biography:
  • Corresponding author: Qing-Zheng Gao received the master degree from Qufu Normal University,PRC in 2007
  • Received: 2009-06-29
Fund Project:

supported by National Natural Science Foundation of China (No60774010, 10971256, 60974028);Natural Science Foundation of Jiangsu Province (NoBK2009083);Program for Fundamental Research of Natural Sciences in Universities of Jiangsu Province(No07KJB510114);Shandong Provincial Natural Science Foundation of China (NoZR2009GM008);Natural Science Foundation of Jining University (No2009KJLX02)

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Robustness Analysis of Discrete-time Indirect Model Reference Adaptive Control with Normalized Adaptive Laws

    Corresponding author: Qing-Zheng Gao received the master degree from Qufu Normal University,PRC in 2007
Fund Project:

supported by National Natural Science Foundation of China (No60774010, 10971256, 60974028);Natural Science Foundation of Jiangsu Province (NoBK2009083);Program for Fundamental Research of Natural Sciences in Universities of Jiangsu Province(No07KJB510114);Shandong Provincial Natural Science Foundation of China (NoZR2009GM008);Natural Science Foundation of Jining University (No2009KJLX02)

Abstract: 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.

Qing-Zheng Gao and Xue-Jun Xie. Robustness Analysis of Discrete-time Indirect Model Reference Adaptive Control with Normalized Adaptive Laws. International Journal of Automation and Computing, vol. 7, no. 3, pp. 381-388, 2010. doi: 10.1007/s11633-010-0518-4
Citation: Qing-Zheng Gao and Xue-Jun Xie. Robustness Analysis of Discrete-time Indirect Model Reference Adaptive Control with Normalized Adaptive Laws. International Journal of Automation and Computing, vol. 7, no. 3, pp. 381-388, 2010. doi: 10.1007/s11633-010-0518-4
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