Backstepping control of a class of nonlinear systems preceded by hysteresis with Prandtl-Ishlinskii presentations

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

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

2 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 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. A backstepping based robust 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 publicationIFAC Proceedings Volumes (IFAC-PapersOnline)
Pages283-288
Number of pages6
Volume16
Publication statusPublished - 2005
Event16th Triennial World Congress of International Federation of Automatic Control, IFAC 2005 - Prague
Duration: 2005 Jul 32005 Jul 8

Other

Other16th Triennial World Congress of International Federation of Automatic Control, IFAC 2005
CityPrague
Period05/7/305/7/8

Fingerprint

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

Keywords

  • Adaptive control
  • Hysteresis
  • Nonlinear systems
  • Robust control
  • Stability

ASJC Scopus subject areas

  • Control and Systems Engineering

Cite this

Su, C. Y., Wang, Q., Chen, X., & Rakheja, S. (2005). Backstepping control of a class of nonlinear systems preceded by hysteresis with Prandtl-Ishlinskii presentations. In IFAC Proceedings Volumes (IFAC-PapersOnline) (Vol. 16, pp. 283-288)

Backstepping control of a class of nonlinear systems preceded by hysteresis with Prandtl-Ishlinskii presentations. / Su, Chun Yi; Wang, Qingqing; Chen, Xinkai; Rakheja, Subhash.

IFAC Proceedings Volumes (IFAC-PapersOnline). Vol. 16 2005. p. 283-288.

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

Su, CY, Wang, Q, Chen, X & Rakheja, S 2005, Backstepping control of a class of nonlinear systems preceded by hysteresis with Prandtl-Ishlinskii presentations. in IFAC Proceedings Volumes (IFAC-PapersOnline). vol. 16, pp. 283-288, 16th Triennial World Congress of International Federation of Automatic Control, IFAC 2005, Prague, 05/7/3.
Su CY, Wang Q, Chen X, Rakheja S. Backstepping control of a class of nonlinear systems preceded by hysteresis with Prandtl-Ishlinskii presentations. In IFAC Proceedings Volumes (IFAC-PapersOnline). Vol. 16. 2005. p. 283-288
Su, Chun Yi ; Wang, Qingqing ; Chen, Xinkai ; Rakheja, Subhash. / Backstepping control of a class of nonlinear systems preceded by hysteresis with Prandtl-Ishlinskii presentations. IFAC Proceedings Volumes (IFAC-PapersOnline). Vol. 16 2005. pp. 283-288
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