TY - JOUR
T1 - Adaptive Fuzzy Control for Fractional-Order Interconnected Systems with Unknown Control Directions
AU - Liang, Bingyun
AU - Zheng, Shiqi
AU - Ahn, Choon Ki
AU - Liu, Feng
N1 - Funding Information:
The work was supported in part by the National Natural Science Foundation of China under Grant 61703376, and in part by the National Research Foundation of Korea grant funded by the Korea government (Ministry of Science and ICT) under Grant NRF-2020R1A2C1005449.
Publisher Copyright:
© 1993-2012 IEEE.
PY - 2022/1/1
Y1 - 2022/1/1
N2 - This article concentrates on the study of the decentralized fuzzy control method for a class of fractional-order interconnected systems with unknown control directions. To overcome the difficulties caused by the multiple unknown control directions in fractional-order systems, a novel fractional-order Nussbaum function technique is proposed. This technique is much more general than those of existing works since it not only handles single/multiple unknown control directions but is also suitable for fractional-/integer-order single/interconnected systems. Based on this technique, a new decentralized adaptive fuzzy control method is proposed for fractional-order interconnected systems with unknown strong interconnections among subsystems. Furthermore, fuzzy logic systems are utilized to approximate unknown nonlinearities. It is proven that the designed controller can guarantee the boundedness of all signals in interconnected systems and the convergence of tracking errors. Two examples are given to show the validity of the proposed method.
AB - This article concentrates on the study of the decentralized fuzzy control method for a class of fractional-order interconnected systems with unknown control directions. To overcome the difficulties caused by the multiple unknown control directions in fractional-order systems, a novel fractional-order Nussbaum function technique is proposed. This technique is much more general than those of existing works since it not only handles single/multiple unknown control directions but is also suitable for fractional-/integer-order single/interconnected systems. Based on this technique, a new decentralized adaptive fuzzy control method is proposed for fractional-order interconnected systems with unknown strong interconnections among subsystems. Furthermore, fuzzy logic systems are utilized to approximate unknown nonlinearities. It is proven that the designed controller can guarantee the boundedness of all signals in interconnected systems and the convergence of tracking errors. Two examples are given to show the validity of the proposed method.
KW - Adaptive backstepping control
KW - Nussbaum function
KW - fractional-order system
KW - fuzzy logic systems (FLSs)
KW - interconnected system
KW - unknown control directions
UR - http://www.scopus.com/inward/record.url?scp=85105329102&partnerID=8YFLogxK
U2 - 10.1109/TFUZZ.2020.3031694
DO - 10.1109/TFUZZ.2020.3031694
M3 - Article
AN - SCOPUS:85105329102
SN - 1063-6706
VL - 30
SP - 75
EP - 87
JO - IEEE Transactions on Fuzzy Systems
JF - IEEE Transactions on Fuzzy Systems
IS - 1
ER -