Adaptive observer-based fault estimation for a class of Lipschitz nonlinear systems
Autor: | Salim Labiod, Mohamed Tadjine, Nabil Oucief |
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Rok vydání: | 2016 |
Předmět: |
Estimation
0209 industrial biotechnology Class (set theory) Control and Optimization lcsh:T58.5-58.64 lcsh:Information technology Computer science lcsh:Mathematics Lipschitz nonlinear systems 02 engineering and technology lcsh:QA1-939 Fault (power engineering) nonlinear adaptive observer strictly positive real Adaptive observer 020901 industrial engineering & automation Control and Systems Engineering Control theory Lipschitz systems Modeling and Simulation observer matching condition 0202 electrical engineering electronic engineering information engineering 020201 artificial intelligence & image processing LMI fault estimation |
Zdroj: | Archives of Control Sciences, Vol 26, Iss 2, Pp 245-259 (2016) |
ISSN: | 2300-2611 |
DOI: | 10.1515/acsc-2016-0014 |
Popis: | Fault input channels represent a major challenge for observer design for fault estimation. Most works in this field assume that faults enter in such a way that the transfer functions between these faults and a number of measured outputs are strictly positive real (SPR), that is, the observer matching condition is satisfied. This paper presents a systematic approach to adaptive observer design for joint estimation of the state and faults when the SPR requirement is not verified. The proposed method deals with a class of Lipschitz nonlinear systems subjected to piecewise constant multiplicative faults. The novelty of the proposed approach is that it uses a rank condition similar to the observer matching condition to construct the adaptation law used to obtain fault estimates. The problem of finding the adaptive observer matrices is formulated as a Linear Matrix Inequality (LMI) optimization problem. The proposed scheme is tested on the nonlinear model of a single link flexible joint robot system. |
Databáze: | OpenAIRE |
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