On fractional order composite model reference adaptive control. Issue 11 (17th August 2016)

• Record Type: Journal Article
• Authors: Wei, Yiheng; Sun, Zhenyuan; Hu, Yangsheng; Wang, Yong
• Is Part Of: International journal of systems science. Volume 47:Issue 11(2016)
• Page Start: 2521
• Page End: 2531
• Publication Date: 2016-08-17
• Subjects: fractional order systems -- composite model reference adaptive control -- Lyapunov function -- frequency distributed model; System analysis -- Periodicals; 003.3
• DOI: 10.1080/00207721.2014.998749
• Languages: English
• ISSNs: 0020-7721

Abstract

Abstract : This paper presents a novel composite model reference adaptive control approach for a class of fractional order linear systems with unknown constant parameters. The method is extended from the model reference adaptive control. The parameter estimation error of our method depends on both the tracking error and the prediction error, whereas the existing method only depends on the tracking error, which makes our method has better transient performance in the sense of generating smooth system output. By the aid of the continuous frequency distributed model, stability of the proposed approach is established in the Lyapunov sense. Furthermore, the convergence property of the model parameters estimation is presented, on the premise that the closed-loop control system is stable. Finally, numerical simulation examples are given to demonstrate the effectiveness of the proposed schemes.