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Lowering Orders of Derivatives in Non-linear Residual Generation using Realization Theory
Linköping University, The Institute of Technology. Linköping University, Department of Electrical Engineering, Vehicular Systems.
Linköping University, The Institute of Technology. Linköping University, Department of Electrical Engineering, Vehicular Systems.
2005 (English)In: Automatica, ISSN 0005-1098, E-ISSN 1873-2836, Vol. 41, no 10, 1799-1807 p.Article in journal (Refereed) Published
Abstract [en]

Consistency relations are often used to design residual generators based on non-linear process models. A main difficulty is that they generally include time differentiated versions of known signals which are difficult to estimate in a noisy environment. The main results of this paper show how to lower the need to estimate derivatives of known signals in order to compute a residual. Necessary and sufficient conditions for lowering the order of the derivatives one step are presented and a main step in the approach is to obtain a state-space realization of the residual generator. An attractive feature of the approach is that general differential algebraic system descriptions can be handled in the same way as for example ordinary differential equations and also that stability of the residual generator is always guaranteed.

Place, publisher, year, edition, pages
2005. Vol. 41, no 10, 1799-1807 p.
Keyword [en]
Fault diagnosis, Parity relations, Analytical redundancy, Differential geometric methods, Non-linear systems
National Category
Engineering and Technology
Identifiers
URN: urn:nbn:se:liu:diva-29994DOI: 10.1016/j.automatica.2005.04.022Local ID: 15434OAI: oai:DiVA.org:liu-29994DiVA: diva2:250813
Available from: 2009-10-09 Created: 2009-10-09 Last updated: 2017-12-13

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Frisk, ErikÅslund, Jan

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