Fractional‐order multivariable composite model reference adaptive control. (5th May 2017)

• Record Type: Journal Article
• Authors: Cheng, Songsong; Wei, Yiheng; Chen, Yuquan; Wang, Yong; Liang, Qing
• Is Part Of: International journal of adaptive control and signal processing. Volume 31:Number 10(2017)
• Page Start: 1467
• Page End: 1480
• Publication Date: 2017-05-05
• Subjects: CMRAC -- fractional‐order systems -- multivariable systems -- robust stability -- uncertainty; Adaptive control systems -- Periodicals; Adaptive signal processing -- Periodicals; 629.836
• DOI: 10.1002/acs.2779
• Languages: English
• ISSNs: 0890-6327

Abstract

Summary: A novel multivariable composite model reference adaptive control scheme is developed for multivariable fractional‐order systems with arbitrary relative degree. Firstly, by introducing right gain matrix to substitute left gain matrix, the stringent symmetry assumption is no longer required. The design procedures of controller with certain and uncertain high‐frequency gain matrix are then provided, respectively. The (robust) stability of the resulting closed‐loop control system is investigated by indirect Lyapunov method. It is shown that the composite model reference adaptive control can achieve better performance on output tracking than that of model reference adaptive control. Finally, the effectiveness and applicability of the proposed control scheme are demonstrated in 3 numerical examples.