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An LMI approach to robust fault estimation for a class of nonlinear systems
Author(s) -
Witczak Marcin,
Buciakowski Mariusz,
Puig Vicenç,
Rotondo Damiano,
Nejjari Fatiha
Publication year - 2015
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.3365
Subject(s) - control theory (sociology) , nonlinear system , convergence (economics) , observer (physics) , computer science , fault (geology) , class (philosophy) , robust control , mathematical optimization , mathematics , control (management) , economics , physics , quantum mechanics , artificial intelligence , seismology , geology , economic growth
Summary The paper presents a robust fault estimation approach for a class of nonlinear discrete‐time systems. In particular, two sources of uncertainty are present in the considered class of systems, that is, an unknown input and an exogenous external disturbance. Thus, apart from simultaneous state and fault estimation, the objective is to decouple the effect of an unknown input while minimizing the influence of the exogenous external disturbance within theℋ ∞framework. The resulting design procedure guarantees that a prescribed disturbance attenuation level is achieved with respect to the state and fault estimation error while assuring the convergence of the observer. The core advantage of the proposed approach is its simplicity by reducing the fault estimation problem to matrix inequalities formulation. In addition, the design conditions ensure the convergence of the observer with guaranteedℋ ∞performance. The effectiveness of the proposed approach is demonstrated by its application to a twin rotor multiple‐input multiple‐output system. Copyright © 2015 John Wiley & Sons, Ltd.