Sampled-data sliding mode observer for robust fault reconstruction: A time-delay approach

Han, X.R., Fridman, Emilia, Spurgeon, Sarah K. (2014) Sampled-data sliding mode observer for robust fault reconstruction: A time-delay approach. Journal of the Franklin Institute, 351 (4). pp. 2125-2142. ISSN 0016-0032. (doi:10.1016/j.jfranklin.2013.04.004)

Abstract

A sliding mode observer in the presence of sampled output information and its application to robust fault reconstruction is studied. The observer is designed by using the delayed continuous-time representation of the sampled-data system, for which sufficient conditions are given in the form of linear matrix inequalities (LMIs) to guarantee the ultimate boundedness of the error dynamics. Though an ideal sliding motion cannot be achieved in the observer when the outputs are sampled, ultimately bounded solutions can be obtained provided the sampling frequency is fast enough. The bound on the solution is proportional to the sampling interval and the magnitude of the switching gain. The proposed observer design is applied to the problem of fault reconstruction under sampled outputs and system uncertainties. It is shown that actuator or sensor faults can be reconstructed reliably from the output error dynamics. An example of observer design for an inverted pendulum system is used to demonstrate the merit of the proposed methodology compared to existing sliding mode observer design approaches.

Item Type: Article
DOI/Identification number: 10.1016/j.jfranklin.2013.04.004
Subjects: T Technology
Divisions: Faculties > Sciences > School of Engineering and Digital Arts
Faculties > Sciences > School of Engineering and Digital Arts > Instrumentation, Control and Embedded Systems
Depositing User: Tina Thompson
Date Deposited: 06 Jun 2014 08:15 UTC
Last Modified: 29 May 2019 12:38 UTC
Resource URI: https://kar.kent.ac.uk/id/eprint/41298 (The current URI for this page, for reference purposes)
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