期刊
NEUROCOMPUTING
卷 360, 期 -, 页码 172-184出版社
ELSEVIER
DOI: 10.1016/j.neucom.2019.06.014
关键词
Backstepping control; Dynamic surface control; Fractional-order nonlinear systems; Neuro-fuzzy network system
资金
- Natural Science Fund for Distinguished Young Scholars of Jiangsu Province [BK20150034]
- National Natural Science Foundation of China [61473151, U1604146, 61473171, 61573177]
- Postgraduate Research & Practice Innovation Program of Jiangsu Province [KYCX18_0428]
- Foundation for the University Technological Innovative Talents of Henan Province [18HASTIT019]
- Shandong Provincial Natural Science Foundation for Distinguished Young Scholars [JQ201515]
- Taishan Scholarship Project of Shandong Province [tsqn20161032]
In this paper, a fractional-order back stepping dynamic surface control (DSC) method is developed to cope with the stabilization problem for fractional-order nonlinear systems with uncertainties and external disturbances. In each step, a neuro-fuzzy network system is employed to approximate the unknown nonlinear function existing in fractional-order subsystem. Furthermore, a modified fractional-order filter is designed to avoid the problem of explosion of complexity caused by the recursive procedure. Then based on the fractional-order Lyapunov stability theory, the corresponding adaptive back stepping DSC controller is proposed to guarantee the stability of the fractional-order closed-loop systems. Finally, three examples are given in simulation part to demonstrate the validity of the proposed control method. (C) 2019 Published by Elsevier B.V.
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