Abstract
In this study, a new non-integer indirect adaptive control method with reference model is suggested for the class of non-integer order systems. The objective of model reference control is to include the output of the given reference fractional model in tracking the output of a controlled plant by using the concept of on-line goal adaptation. The stability of the closed-loop system is analyzed via the Lyapunov method. Finally, Matlab simulation results are presented to illustrate the effectiveness of the proposed method of indirect fractional model reference adaptive control.
Highlights
Model reference adaptive control (MRAC) is one of the main approaches of adaptive control
An increasing number of studies related with the application of the fractional calculus (FC) theory are observed in many areas of science and engineering [14]
Based on already reported results, in this paper, we propose a novel method to control a class of linear fractional-order systems based in MRAC configuration
Summary
Model reference adaptive control (MRAC) is one of the main approaches of adaptive control. A new control structure named Non-integer Indirect Adaptive Control for a Class of Non-integer Order System with Non-prior Knowledge is proposed to investigate the control for a class of fractional system This novel method of control is based in MRAC configuration. Based on already reported results, in this paper, we propose a novel method to control a class of linear fractional-order systems based in MRAC configuration. This novel methodology of non-integer indirect adaptive control with reference model is proposed to guarantee stability and the tracking of the reference model. Two simulation examples are given to illustrate the performance obtained by the proposed indirect adaptive fractional control scheme
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