title: Global adaptive control for uncertain nonaffine nonlinear hysteretic systems.
abstract: In this paper, the global output tracking is investigated for a class of uncertain nonlinear hysteretic systems with nonaffine structures. By combining the solution properties of the hysteresis model with the novel backstepping approach, a robust adaptive control algorithm is developed without constructing a hysteresis inverse. The proposed control scheme is further modified to tackle the bounded disturbances by adaptively estimating their bounds. It is rigorously proven that the designed adaptive controllers can guarantee global stability of the closed-loop system. Two numerical examples are provided to show the effectiveness of the proposed control schemes.
authors.affiliation: Hunan Provincial Key Laboratory of Health Maintenance for Mechanical Equipment, Hunan University of Science and Technology, Xiangtan, Hunan 411201, PR China. Electronic address: yonghua.liu@hnust.edu.cn.
authors.forename: Yong-Hua
authors.initials: YH
authors.lastname: Liu
authors.affiliation: Hunan Provincial Key Laboratory of Health Maintenance for Mechanical Equipment, Hunan University of Science and Technology, Xiangtan, Hunan 411201, PR China.
authors.forename: Liangpei
authors.initials: L
authors.lastname: Huang
authors.affiliation: Hunan Provincial Key Laboratory of Health Maintenance for Mechanical Equipment, Hunan University of Science and Technology, Xiangtan, Hunan 411201, PR China.
authors.forename: Dongming
authors.initials: D
authors.lastname: Xiao
authors.affiliation: Hunan Provincial Key Laboratory of Health Maintenance for Mechanical Equipment, Hunan University of Science and Technology, Xiangtan, Hunan 411201, PR China.
authors.forename: Yong
authors.initials: Y
authors.lastname: Guo
keywords: Adaptive control; Backstepping; Hysteresis; Nonaffine nonlinear systems; Nonlinear systems