Title
Sampled-data sliding mode observer for robust fault reconstruction: A time-delay approach
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.
Year
DOI
Venue
2014
10.1016/j.jfranklin.2013.04.004
Journal of the Franklin Institute
Field
DocType
Volume
State observer,Magnitude (mathematics),Inverted pendulum,Matrix (mathematics),Control theory,Computer science,Sampling (signal processing),Observer (quantum physics),Actuator,Bounded function
Journal
351
Issue
ISSN
Citations 
4
0016-0032
12
PageRank 
References 
Authors
0.61
15
3
Name
Order
Citations
PageRank
xichang han1120.61
Emilia Fridman22462236.76
sarah k spurgeon372471.21