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

Qing-Zheng Gao; Xue-Jun Xie

doi:10.1007/s11633-010-0518-4

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

doi: 10.1007/s11633-010-0518-4

Qing-Zheng Gao^,,
Xue-Jun Xie

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

基金项目:

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)

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

Qing-Zheng Gao^,,
Xue-Jun Xie

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

Funds:

More Information

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

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.
- Discrete-time systems /
- model reference adaptive control (MRAC) /
- swapping lemmas /
- stability /
- robustness
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.
- Discrete-time systems /
- model reference adaptive control (MRAC) /
- swapping lemmas /
- stability /
- robustness

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

doi: 10.1007/s11633-010-0518-4

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

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

doi: 10.1007/s11633-010-0518-4

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

English Abstract

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

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

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

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

doi: 10.1007/s11633-010-0518-4

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

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出版历程

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

doi: 10.1007/s11633-010-0518-4

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

English Abstract

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

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

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

全文HTML

目录

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

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