On modelling and diagnosis of Hybrid Dynamical Systems
by Mohamed El Hadi Lebbal, Ghaleb Hoblos, Houcine Chafouk, Dimitri Lefebvre
International Journal of Intelligent Systems Technologies and Applications (IJISTA), Vol. 7, No. 2, 2009

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.

Online publication date: Tue, 26-May-2009

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