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
Event5th International Conference on Control and Automation, ICCA'05 - Budapest
Duration: 2005 Jun 272005 Jun 29

Other

Other5th International Conference on Control and Automation, ICCA'05
CityBudapest
Period05/6/2705/6/29

Fingerprint

Variable structure control
Backstepping
Hysteresis
Nonlinear systems
Control nonlinearities
Electric fuses
Trajectories
Mathematical models

ASJC Scopus subject areas

  • Engineering(all)

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]

Backstepping based variable structure control of a class of nonlinear systems preceded by hysteresis. / Su, Chun Yi; Wang, Qingqing; Chen, Xinkai; Rakheja, Subhash.

Proceedings of the 5th International Conference on Control and Automation, ICCA'05. 2005. p. 288-292 TA1-1.2.

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

Su, CY, 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., TA1-1.2, pp. 288-292, 5th International Conference on Control and Automation, ICCA'05, Budapest, 05/6/27.
Su CY, Wang Q, Chen X, Rakheja S. 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. 2005. p. 288-292. TA1-1.2
Su, Chun Yi ; Wang, Qingqing ; Chen, Xinkai ; Rakheja, Subhash. / Backstepping based variable structure control of a class of nonlinear systems preceded by hysteresis. Proceedings of the 5th International Conference on Control and Automation, ICCA'05. 2005. pp. 288-292
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