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State and Fault Estimation For Infinitely Unobservable Descriptor Systems Using Sliding Mode Observers
Author(s) -
Teong Ooi Jeremy Hor,
Tan Chee Pin,
Ng Kok Yew
Publication year - 2015
Publication title -
asian journal of control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.769
H-Index - 53
eISSN - 1934-6093
pISSN - 1561-8625
DOI - 10.1002/asjc.1033
Subject(s) - unobservable , observability , observable , control theory (sociology) , state (computer science) , fault (geology) , mode (computer interface) , estimation , class (philosophy) , computer science , mathematics , algorithm , control (management) , engineering , artificial intelligence , econometrics , physics , systems engineering , quantum mechanics , seismology , geology , operating system
This paper presents a novel scheme for estimating states and faults for a class of infinitely unobservable descriptor systems using sliding mode observers (SMOs). Treating certain states of the original infinitely unobservable system as unknown inputs results in a reduced‐order system that is infinitely observable. Then by designing the SMO based on the reduced‐order system, state estimation and fault reconstruction is achieved, thus relaxing the infinite observability requirement of the original system. The necessary and sufficient conditions in terms of the original system matrices are also investigated. A simulation example verifies the claims made in this paper.