Title: Adaptive fuzzy sliding mode control for uncertain non-linear system with input non-linearity

Authors: Xue-li Wu, Xiao-jing Wu, Wen-xia Du

Addresses: Institute of Electrical Engineering, Yanshan University, Qinhuangdao Hebei 066004, China; College of Electronic Engineering and Information, Hebei University of Science and Technology, Shijiazhuang Hebei 050018, China. ' Institute of Electrical Engineering, Yanshan University, Qinhuangdao Hebei 066004, China. ' Hebei Normal University, Shijiazhuang Hebei 050016, China; Institute of Electrical Engineering, Yanshan University, Qinhuangdao, Hebei, 066004, China

Abstract: In this brief, the problem of tracking control for a class of uncertain non-linear system with input non-linearity is considered. An adaptive fuzzy sliding mode controller is proposed. The main advantage of the proposed method is that the non-linear dynamic, the bound of disturbances and all parameters of input non-linearity are unknown. Meanwhile, the chattering phenomenon that frequently appears in the conventional sliding mode control is also eliminated without deteriorating the system|s phenomenon. Using Lyapunov stability theory, the states of closed-loop system can track given signals in the sense of uniform ultimately boundedness. Finally, simulations are done to show the effectiveness of the main results.

Keywords: sliding mode control; fuzzy SMC; fuzzy control; adaptive control; input nonlinearity; uncertain nonlinear systems; Lyapunov stability theory; simulation.

DOI: 10.1504/IJMIC.2010.037029

International Journal of Modelling, Identification and Control, 2010 Vol.11 No.3/4, pp.186 - 193

Available online: 21 Nov 2010 *

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