Title :
On the control of nonlinear systems with unknown Prandtl-Ishlinskii hysteresis
Author :
Su, Chun-Yi ; Wang, Qingqing ; Chen, Xinkai ; Rakheja, Subhash
Author_Institution :
Dept. of Mech. Eng., Concordia Univ., Montreal, Que., Canada
Abstract :
Control of nonlinear systems preceded by unknown hysteresis nonlinearities is a challenging task and has received great attention recently due to increasing industrial demands. In the literature, many mathematical models have been proposed to describe the hysteresis. The challenge addressed here is how to fuse those hysteresis models with available robust control techniques to have the basic requirement of stability of the system. The purpose of the paper is to show such a possibility by using the Prandtl-Ishlinskii (PI) hysteresis model. An adaptive variable structure control approach, serving as an illustration, is fused with the PI model without necessarily constructing a hysteresis inverse. The global stability of the system and tracking a desired trajectory to a certain precision are achieved. Simulations performed on a nonlinear system illustrate and further validate the effectiveness of the proposed approach.
Keywords :
adaptive control; control nonlinearities; hysteresis; nonlinear control systems; robust control; uncertain systems; variable structure systems; adaptive variable structure control; nonlinear control system; robust control; stability; unknown Prandtl-Ishlinskii hysteresis; unknown hysteresis nonlinearities; Control nonlinearities; Control systems; Electrical equipment industry; Fuses; Hysteresis; Industrial control; Mathematical model; Nonlinear control systems; Nonlinear systems; Robust control;
Conference_Titel :
American Control Conference, 2005. Proceedings of the 2005
Print_ISBN :
0-7803-9098-9
Electronic_ISBN :
0743-1619
DOI :
10.1109/ACC.2005.1470433