Journal of Applied Mathematics

  • J. Appl. Math.
  • Volume 2012, Special Issue (2012), Article ID 528932, 13 pages.

LMI-Based Sliding Mode Observers for Incipient Faults Detection in Nonlinear System

Chang-fan Zhang, Min Yan, Jing He, and Cheng Luo

Full-text: Open access

Abstract

This paper presents a diagnosis scheme based on a linear matrix inequality (LMI) algorithm for incipient faults in a nonlinear system class with unknown input disturbances. First, the nonlinear system is transformed into two subsystems, one of which is unrelated to the disturbances. Second, for the subsystem that is free from disturbances, a Luenberger observer is constructed; a sliding mode observer is then constructed for the subsystem which is subjected to disturbances, so that the effect of the unknown input disturbances is eliminated. Together, the entire system achieves both robustness to disturbances and sensitivity to incipient faults. Finally, the effectiveness and feasibility of the proposed method are verified through a numerical example using a single-link robotic arm.

Article information

Source
J. Appl. Math., Volume 2012, Special Issue (2012), Article ID 528932, 13 pages.

Dates
First available in Project Euclid: 16 July 2013

Permanent link to this document
https://projecteuclid.org/euclid.jam/1374003824

Digital Object Identifier
doi:10.1155/2012/528932

Mathematical Reviews number (MathSciNet)
MR3000289

Zentralblatt MATH identifier
1300.93052

Citation

Zhang, Chang-fan; Yan, Min; He, Jing; Luo, Cheng. LMI-Based Sliding Mode Observers for Incipient Faults Detection in Nonlinear System. J. Appl. Math. 2012, Special Issue (2012), Article ID 528932, 13 pages. doi:10.1155/2012/528932. https://projecteuclid.org/euclid.jam/1374003824


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