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A novel s th‐order observer for linear system: Application to state and fault estimation of spacecraft control system
Author(s) -
Li Min,
Liu Ming,
Zhang Yingchun,
Cao Xibin
Publication year - 2018
Publication title -
international journal of robust and nonlinear control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.361
H-Index - 106
eISSN - 1099-1239
pISSN - 1049-8923
DOI - 10.1002/rnc.4397
Subject(s) - observer (physics) , control theory (sociology) , state observer , bounded function , fault (geology) , linear matrix inequality , state (computer science) , computer science , linear system , mathematics , mathematical optimization , control (management) , algorithm , nonlinear system , mathematical analysis , physics , quantum mechanics , artificial intelligence , seismology , geology
Summary In this paper, a fault estimation problem for linear system is considered. A novel s th‐order observer is proposed to cope with this problem. The advantages of the proposed observer are that (i) the observer matching condition is not required to be satisfied in practical systems, (ii) if the s th derivative of fault is unknown and/or unbounded and the ( s + 1)th derivative of fault f ( t ) is naught or bounded, it can simultaneously estimate the state and fault. The sufficient existence condition of the proposed observer is given by a linear matrix inequality. In addition, a feasible method to obtain the design parameters is discussed. Finally, two numerical examples are presented to illustrate the effectiveness of the proposed method.