Backstepping based variable structure control of a class of nonlinear systems preceded by hysteresis

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

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

6 Citations (Scopus)

Abstract

Control of nonlinear systems preceded by unknown hysteresis nonlinearities is a challenging task. 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 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. A backstepping based 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 5th International Conference on Control and Automation, ICCA'05
Pages288-292
Number of pages5
Publication statusPublished - 2005 Nov 28
Event5th International Conference on Control and Automation, ICCA'05 - Budapest, Hungary
Duration: 2005 Jun 272005 Jun 29

Publication series

NameProceedings of the 5th International Conference on Control and Automation, ICCA'05

Conference

Conference5th International Conference on Control and Automation, ICCA'05
CountryHungary
CityBudapest
Period05/6/2705/6/29

ASJC Scopus subject areas

  • Engineering(all)

Fingerprint Dive into the research topics of 'Backstepping based variable structure control of a class of nonlinear systems preceded by hysteresis'. Together they form a unique fingerprint.

  • Cite this

    Su, C. Y., Wang, Q., Chen, X., & Rakheja, S. (2005). Backstepping based variable structure control of a class of nonlinear systems preceded by hysteresis. In Proceedings of the 5th International Conference on Control and Automation, ICCA'05 (pp. 288-292). [TA1-1.2] (Proceedings of the 5th International Conference on Control and Automation, ICCA'05).