Nonlinear observer design for a magnetic position estimation technique

Yan Wang, Ryan Madson, Rajesh Rajamani

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

7 Citations (Scopus)

Abstract

This paper develops an observer for a magnetic field based position sensor. The process model for the magnetic field sensing system is linear while the output equation is highly nonlinear. Previous results on observer design in nonlinear systems have mostly assumed that the output equation is linear, even if the process dynamics are nonlinear. This paper presents a new observer design technique that can rigorously address the presence of nonlinearity in the output equation. The estimation error dynamics of a two degree-of-freedom observer is transformed into a Lure system in which the sector condition for the nonlinearity in the feedback loop is constructed from the element-wise bounds on the Jacobian matrix of the nonlinear measurement equation. The developed observer design technique is applied to non-intrusive estimation of the position of a piston inside a pneumatic cylinder. Experimental results show that the observer can accurately estimate piston position with sub-mm accuracy. The advantages of the nonlinear observer over an extended Kalman Filter are demonstrated. The developed observer has applications in many other problems involving nonlinear output equations.

Original languageEnglish (US)
Title of host publication54rd IEEE Conference on Decision and Control,CDC 2015
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages6986-6991
Number of pages6
ISBN (Electronic)9781479978861
DOIs
StatePublished - Feb 8 2015
Event54th IEEE Conference on Decision and Control, CDC 2015 - Osaka, Japan
Duration: Dec 15 2015Dec 18 2015

Publication series

NameProceedings of the IEEE Conference on Decision and Control
Volume54rd IEEE Conference on Decision and Control,CDC 2015
ISSN (Print)0743-1546

Other

Other54th IEEE Conference on Decision and Control, CDC 2015
CountryJapan
CityOsaka
Period12/15/1512/18/15

Fingerprint

Nonlinear Observer
Observer Design
Observer
Pistons
Magnetic fields
Output
Jacobian matrices
Extended Kalman filters
Degrees of freedom (mechanics)
Linear equations
Pneumatics
Error analysis
Magnetic Field
Nonlinear systems
Nonlinearity
Feedback
Jacobian matrix
Feedback Loop
Dynamic Process
Estimation Error

Keywords

  • Jacobian matrices
  • Mathematical model
  • Observers
  • Pistons
  • Robot sensing systems

Cite this

Wang, Y., Madson, R., & Rajamani, R. (2015). Nonlinear observer design for a magnetic position estimation technique. In 54rd IEEE Conference on Decision and Control,CDC 2015 (pp. 6986-6991). [7403320] (Proceedings of the IEEE Conference on Decision and Control; Vol. 54rd IEEE Conference on Decision and Control,CDC 2015). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/CDC.2015.7403320

Nonlinear observer design for a magnetic position estimation technique. / Wang, Yan; Madson, Ryan; Rajamani, Rajesh.

54rd IEEE Conference on Decision and Control,CDC 2015. Institute of Electrical and Electronics Engineers Inc., 2015. p. 6986-6991 7403320 (Proceedings of the IEEE Conference on Decision and Control; Vol. 54rd IEEE Conference on Decision and Control,CDC 2015).

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

Wang, Y, Madson, R & Rajamani, R 2015, Nonlinear observer design for a magnetic position estimation technique. in 54rd IEEE Conference on Decision and Control,CDC 2015., 7403320, Proceedings of the IEEE Conference on Decision and Control, vol. 54rd IEEE Conference on Decision and Control,CDC 2015, Institute of Electrical and Electronics Engineers Inc., pp. 6986-6991, 54th IEEE Conference on Decision and Control, CDC 2015, Osaka, Japan, 12/15/15. https://doi.org/10.1109/CDC.2015.7403320
Wang Y, Madson R, Rajamani R. Nonlinear observer design for a magnetic position estimation technique. In 54rd IEEE Conference on Decision and Control,CDC 2015. Institute of Electrical and Electronics Engineers Inc. 2015. p. 6986-6991. 7403320. (Proceedings of the IEEE Conference on Decision and Control). https://doi.org/10.1109/CDC.2015.7403320
Wang, Yan ; Madson, Ryan ; Rajamani, Rajesh. / Nonlinear observer design for a magnetic position estimation technique. 54rd IEEE Conference on Decision and Control,CDC 2015. Institute of Electrical and Electronics Engineers Inc., 2015. pp. 6986-6991 (Proceedings of the IEEE Conference on Decision and Control).
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