Mode Identification and Fault Detection of Hybrid Dynamical Systems Using Behavior Graphs
The general principle of model-based Fault Detection and Isolation (FDI) algorithms is to compare the expected behavior of the system, given by a model, with its actual behavior, known through on-line observations. Hybrid Dynamical Systems (HDS) constitute a wide class of common industrial applications, where the behavior is determined by the interaction between continuous and discrete dynamics, i.e. behavioral modes succession. Faults in HDS may corrupt the two dynamics. As a consequence, FDI in HDS consists in three main activities : 1) to identify the current behavioral mode, i.e. to estimate the discrete state; 2) to check if the current mode is coherent with the expected one and 3) to check if the continuous behavior is normal or not. Classical approaches use exhaustive algorithms in order to solve the monitoring of the mode (activities 1-2). In fact, using the known inputs and outputs that may be either continuous or discrete information, each mode of the system is considered as an actual mode candidate. These approaches raise their limits when the number of modes is growing. In that paper, we propose to limit the set of possible mode candidates by using a priori information on the discrete evolution under normal and faulty hypothesis. Two kinds of graphs are derived from the initial hybrid model, namely Normal Behavior Graphs (NBG), Faulty Behavior Graphs (FBG). Using these graphs allows us not only to identify efficiently the actual mode but also to directly interpret (diagnose) the discrete faulty evolution in terms of faults.
Copyright © 2018 Praise Worthy Prize - All rights reserved.
J. Zaytoon. Modélisation, analyse et commande des systèmes dynamiques hybrides, Hermes Edition, 2001.
E. Alcorta-Garcia and P. Frank. Deterministic Nonlinear Observer Based Approaches to Fault Diagnosis, A Survey on Control Engineering Practice 5(5): 663–670, 1997.
R.N. Clark, A simplified instrument detection scheme, IEEE Transaction on Aero Electric System, Vol. 14: 558-563, 1978.
Balluchi, L. Benvenuti, M. D. Di.Benedetto, and A.L. Sangiovanni-vincentelli .Design of observers for hybrid systems, Hybrid systems: computation and control. Lecture notes in Computer Science 2289, Springer Verlag, Berlin Heidelberg:76-89, 2002.
R. Isermann, Estimation of physical parameters for dynamic processes with application to an industrial robot, International. Journal of Control, vol. 55: 1287-1298, 1992.
R. J. Patton and J. Chen. A review of Parity Space approaches to Fault Diagnosis, IFAC/IMACS Symposium Safeprocess :239–255, UK, 1991.
T. Mezyani, Méthodologie de surveillance des systèmes dynamiques hybride, PhD dissertation, University of Science and Technology Lille, France, 2005.
V. Cocquempot, T.Mezyani and M. Staroswiecki. Fault Detection and Isolation for Hybrid Systems using Structured Parity Residuals, IEEE/IFAC-ASCC, Melbourne, Australia, 2004.
J. Lygeros, K H. Johansson, S. N. Simic, J. Zhang, and S. Sastry, Dynamical properties of hybrid automata, IEEE Transaction On Automatic Control, 48(1), 2-17, 2003.
B. Dubuisson (under the direction of) Automatique et statistique pour le diagnostic, Hermess science publication, Paris, 2001.
V. Cocquempot, M. Staroswiecki, T. Mezyani, Switching time estimation and fault detection for hybrid systems using structured parity residuals, Safeprocess IFAC Conference, Washington D.C, June 2003.
M. Bayoudh. Active Diagnosis for Hybrid Systems Guided by Diagnosability properties, Application to Autonomous Satellites. PhD dissertation, National Institute of Polytechnic Toulouse, 2008.
M.S. Branicky, General hybrid dynamical systems: Modeling, analysis, and control, Lecture note: Hybrid system III 4066, 187– 200, 1996.
E. De Santis, Maria D. Di Benedetto, Stefano Di Gennaro and Giordano Pola, Hybrid Observer Design Methodology, Hybridge project report IST-2001-32460 , 19 Aug 2003.
Birouche, J. Daafouz. and C. Iung, Observer design for a class of discrete time piecewise-linear systems. Preprints of the 2ndIFAC Conference on Analysis and Design of Hybrid Systems , Alghero, Italy, 7-9 June . 2006.
Staroswiecki, M. and G. Comtet-Varga, Analytic redundancy Relations for Fault Detection and Isolation in Algebraic Dynamic Systems. Automatica 2001.
- There are currently no refbacks.
Please send any question about this web site to firstname.lastname@example.org
Copyright © 2005-2020 Praise Worthy Prize