Article: On modelling and diagnosis of Hybrid Dynamical Systems Journal: International Journal of Intelligent Systems Technologies and Applications (IJISTA) 2009 Vol.7 No.2 pp.137 - 156 Abstract: This article proposes new modelling and diagnosis methods in order to detect and isolate actuators, sensors and functional faults, and able to appear on hybrid non-linear systems. These processes are with discrete inputs and continuous outputs. Our modelling method uses a multi-model approach permitting to uncouple continuous and discrete behaviours. The discrete inputs variables are used to define operating modes and commutation conditions sets. A variable change is proposed in order to reduce the discrete states number and rewrite non-linearities such as x<SUP align="right">1/2</SUP> and sign(x) in polynomial form. Then, residual generation is obtained using polynomial approach based on Grobner bases. To solve fault detection task of studied hybrid system, multi-model approach is explored. Once the fault is detected, signatures table is used for faults isolation. In order to improve the isolation and the discernability of faults, a technique based on fault magnitude estimation combined with the knowledge of discrete inputs has been proposed. Finally, this work is illustrated on a two tanks system. Inderscience Publishers - linking academia, business and industry through research

Title: On modelling and diagnosis of Hybrid Dynamical Systems

Authors: Mohamed El Hadi Lebbal, Ghaleb Hoblos, Houcine Chafouk, Dimitri Lefebvre

Addresses: IRSEEM, ESIGELEC, avenue Galilee, St-Etienne du Rouvray 76801, France. ' IRSEEM, ESIGELEC, avenue Galilee, St-Etienne du Rouvray 76801, France. ' IRSEEM, ESIGELEC, avenue Galilee, St-Etienne du Rouvray 76801, France. ' Groupe de Recherche en Electrotechnique et Automatique du Havre (GREAH) Universite du Havre, 25 rue P. Lebon BP 1123, Le Havre 76063, France

Abstract: This article proposes new modelling and diagnosis methods in order to detect and isolate actuators, sensors and functional faults, and able to appear on hybrid non-linear systems. These processes are with discrete inputs and continuous outputs. Our modelling method uses a multi-model approach permitting to uncouple continuous and discrete behaviours. The discrete inputs variables are used to define operating modes and commutation conditions sets. A variable change is proposed in order to reduce the discrete states number and rewrite non-linearities such as x^1/2 and sign(x) in polynomial form. Then, residual generation is obtained using polynomial approach based on Grobner bases. To solve fault detection task of studied hybrid system, multi-model approach is explored. Once the fault is detected, signatures table is used for faults isolation. In order to improve the isolation and the discernability of faults, a technique based on fault magnitude estimation combined with the knowledge of discrete inputs has been proposed. Finally, this work is illustrated on a two tanks system.

Keywords: fault detection; fault isolation; fault identification; Grobner basis; hybrid dynamic systems; HDS; structured residual generation; nonlinear systems; modelling; fault diagnosis.

DOI: 10.1504/IJISTA.2009.026084

International Journal of Intelligent Systems Technologies and Applications, 2009 Vol.7 No.2, pp.137 - 156

Published online: 26 May 2009 *

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Title: On modelling and diagnosis of Hybrid Dynamical Systems

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