A sliding mode observer for fault reconstruction under output sampling: A time-delay approach

X. Han, E. Fridman, S. K. Spurgeon

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

A sliding mode observer in the presence of sampled output information and its application to fault reconstruction is studied. The observer is designed by using the delayed continuous-time representation of the sampled-data system, for which a set of Linear Matrix Inequalities (LMIs) provide conditions for the ultimate boundedness. It is shown that an ideal sliding motion cannot be achieved in the observer when outputs are sampled. However, ultimately bounded solutions can be obtained provided the sampling frequency is fast enough. The bound on the solution is proportional to the sampling time and the magnitude of the switching gain. The proposed observer design is applied to the problem of fault reconstruction under sampled output. It is shown that, for a sufficiently small value of μ, a perturbation parameter, a transducer or sensor fault 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.

Original languageEnglish
Title of host publication2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011
Pages77-82
Number of pages6
DOIs
StatePublished - 2011
Event2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011 - Orlando, FL, United States
Duration: 12 Dec 201115 Dec 2011

Publication series

NameProceedings of the IEEE Conference on Decision and Control
ISSN (Print)0191-2216

Conference

Conference2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011
Country/TerritoryUnited States
CityOrlando, FL
Period12/12/1115/12/11

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