Backstepping-based finite-time adaptive fuzzy control of unknown nonlinear systems.

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Title:	Backstepping-based finite-time adaptive fuzzy control of unknown nonlinear systems.
Authors:	Chang, Chia-Wen;Hsu, Chun-Fei;Tsu-Tian Lee
Keywords:	Adaptive control;Backstepping control;Finite-time stability;Ellipsoidal type-2 membership function
Date:	2018-12
Issue Date:	2019-09-24 12:11:30 (UTC+8)
Abstract:	This paper proposes a backstepping-based finite-time adaptive fuzzy controller (BFAFC) for a nonlinear system in the present of unknown and uncertainty terms. A nonsingleton type-2 fuzzy system is presented to online approximate the unknown term in the nonlinear system, where the ellipsoidal type-2 membership functions are considered to deal with large amounts of uncertainties. Moreover, to further improve the control performance, the parameter adaptive laws are designed by the Lyapunov function and finite-time stability theorem in this paper such that not only the system stability but also the finite-time convergence can be guaranteed. Finally, the proposed BFAFC system is applied to an inverted pendulum and a coupled chaotic system to validate the effectiveness of the BFAFC system. Simulation results show that the proposed BFAFC system can cause the tracking error to converge to zero in a finite time and the tracking accuracy can be improved satisfactorily.
Relation:	International Journal of Fuzzy Systems 20(8), p.2545-2555
DOI:	10.1007/s40815-018-0505-4
Appears in Collections:	[Graduate Institute & Department of Electrical Engineering] Journal Article

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