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Fractional‐order multivariable composite model reference adaptive control
Author(s) -
Cheng Songsong,
Wei Yiheng,
Chen Yuquan,
Wang Yong,
Liang Qing
Publication year - 2017
Publication title -
international journal of adaptive control and signal processing
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.73
H-Index - 66
eISSN - 1099-1115
pISSN - 0890-6327
DOI - 10.1002/acs.2779
Subject(s) - control theory (sociology) , multivariable calculus , adaptive control , reference model , controller (irrigation) , matrix (chemical analysis) , stability (learning theory) , lyapunov function , mathematics , computer science , control (management) , control engineering , engineering , nonlinear system , agronomy , materials science , physics , software engineering , artificial intelligence , machine learning , quantum mechanics , composite material , biology
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.