A Discrete Fractional Order Adaptive Law for Parameter Estimation and Adaptive Control

被引：2

作者：

Aburakhis, Mohamed ^{[1
]}

Ordonez, Raul ^{[1
]}

Djaneye-Boundjou, Ouboti ^{[1
]}

机构：

[1] Univ Dayton, Dept Elect & Comp Engn, Dayton, OH 45469 USA

来源：

IEEE OPEN JOURNAL OF CONTROL SYSTEMS | 2022年 / 1卷

关键词：

Adaptive control; discrete fractional calculus; discrete-time control system; parameter estimation; STABILITY; RIEMANN;

D O I：

10.1109/OJCSYS.2022.3185002

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

In this article, a discrete fractional order adaptive law (DFOAL) is designed based on the Caputo fractional difference to perform parameter estimation of structured uncertainties. The paper provides a rigorous stability analysis of the DFOAL parameter estimation method. The DFOAL is then modified in order to improve parameter estimator performance to show that, under certain conditions, it provides asymptotic convergence to the true parameter values even when the regressor is not persistently exciting. A method to allow for practical implementation of the DFOAL and the modified DFOAL is developed. Finally, the modified DFOAL is used to identify the plant parameters in an indirect adaptive control law for a class of nonlinear discrete-time systems with structured uncertainty.

引用

页码：113 / 125

页数：13

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