Global adaptive control for uncertain nonaffine nonlinear hysteretic systems

Yong-Hua Liu; Liangpei Huang; Dongming Xiao; Yong Guo

doi:10.1016/j.isatra.2015.06.010

Global adaptive control for uncertain nonaffine nonlinear hysteretic systems

ISA Trans. 2015 Sep:58:255-61. doi: 10.1016/j.isatra.2015.06.010. Epub 2015 Jul 10.

Authors

Yong-Hua Liu¹, Liangpei Huang², Dongming Xiao², Yong Guo²

Affiliations

¹ 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.
² Hunan Provincial Key Laboratory of Health Maintenance for Mechanical Equipment, Hunan University of Science and Technology, Xiangtan, Hunan 411201, PR China.

PMID: 26169122
DOI: 10.1016/j.isatra.2015.06.010

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.

Keywords: Adaptive control; Backstepping; Hysteresis; Nonaffine nonlinear systems; Nonlinear systems.

Publication types

Research Support, Non-U.S. Gov't