A relaxed solution to unknown input observers for state and fault estimation

Patton, Ron.; Wang, Xi.; Tan, Daoliang.; Patton, Ron J..

doi:10.1016/j.ifacol.2015.09.665

Authors

Daoliang Tan

Professor Ron Patton R.J.Patton@hull.ac.uk
Professor of Control and Intelligent Systems Engineering

Xi Wang

Abstract

A lot of effort has been devoted to the unknown input observer (UIO) research over the past years. However, the strong disturbance decoupling assumption (manifested as some rank constraint) is often implicitly embedded in much of the existing UIO work. With the purpose of state and fault estimation, this fact motivates us to investigate the viability of the UIO research when the strong disturbance decoupling is not possible, i.e., a “degenerate” problem of UIO decoupling exists. Inspired by the scheme of reducing the effect of external disturbance on estimation error, this paper incorporates the relaxed UIO (RxUIO) concept by means of the H∞H2, and mixed H2¡H∞ techniques. Necessary and sufficient conditions for the existence of different RxUIOs are presented in the tractable linear matrix inequality (LMI) form. Numerical experiments are presented to illustrate the effectiveness of the suggested method.

Journal Article Type	Article
Publication Date	Sep 1, 2015
Journal	IFAC-PapersOnLine
Print ISSN	1474-6670
Electronic ISSN	2405-8963
Publisher	Elsevier
Peer Reviewed	Peer Reviewed
Volume	28
Issue	21
Pages	1048-1053
Institution Citation	Tan, D., Patton, R. J., & Wang, X. (2015). A relaxed solution to unknown input observers for state and fault estimation. IFAC postprint volumes IPPV / International Federation of Automatic Control, 28(21), 1048-1053. https://doi.org/10.1016/j.ifacol.2015.09.665
DOI	https://doi.org/10.1016/j.ifacol.2015.09.665
Keywords	Fault diagnosis, Fault estimation, Unknown input observer, Linear matrix inequality
Publisher URL	http://www.sciencedirect.com/science/article/pii/S2405896315017942
Copyright Statement	© 2016 IFAC. Originally published in IFAC-PapersOnline, vol. 48, no. 21 by Elsevier Ltd. (DOI 10.1016/j.ifacol.2015.09.665)
Additional Information	This is an authors accepted manuscript version of a paper published in IFAC-PapersOnLine, 2015, v.48 issue 21.