On the control of nonlinear systems with unknown Prandtl-Ishlinskii hysteresis

Chun Yi Su, Qingqing Wang, Xinkai Chen, Subhash Rakheja

Research output: Chapter in Book/Report/Conference proceedingConference contribution

1 Citation (Scopus)


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.

Original languageEnglish
Title of host publicationProceedings of the American Control Conference
Number of pages6
Publication statusPublished - 2005
Event2005 American Control Conference, ACC - Portland, OR, United States
Duration: 2005 Jun 82005 Jun 10


Other2005 American Control Conference, ACC
CountryUnited States
CityPortland, OR


ASJC Scopus subject areas

  • Control and Systems Engineering

Cite this

Su, C. Y., Wang, Q., Chen, X., & Rakheja, S. (2005). On the control of nonlinear systems with unknown Prandtl-Ishlinskii hysteresis. In Proceedings of the American Control Conference (Vol. 5, pp. 3013-3018)