A structured filter for Markovian switching systems

In this work, a new methodology for the structuring of multiple model estimation schemas is developed. The proposed filter is applied to the estimation and detection of active mode in dynamic systems. The discrete-time Markovian switching systems represented by several linear models, associated with a particular operating mode, are studied. Therefore, the main idea of this work is the subdivision of the models set to some subsets in order to improve the detection and estimation performances. Each subset is associated with sub-estimators based on models of the subset. In order to compute the global estimate and subset probabilities, a global estimator is proposed. Theoretical developments based on a hierarchical decision, leading to more efficiency in detection and state estimation, are proposed. Naturally, these results can be used for fault detection and isolation, using the activation probabilities of operating modes. These results are applied to detect switches in the centre of gravity for vehicle roll dynamics.Keywords: Markovian switching systemmultiple model estimationactive mode detectionvehicle roll dynamic AcknowledgementsThis work was supported by Section Innovation Norges Forskningsraad-Norwegian Research Council (in Norway) and by the Ministries of Foreign Affairs (MAE) and Higher Education and Research (MESR) within the Aurora program (Partnership PHC) (in France).Additional informationNotes on contributorsAbdelfettah HocineAbdelfettah Hocine received his master's degree (DEA) from the Institut National des Sciences Appliquées (INSA) of Lyon and his PhD degree from the Centre de Recherche en Automatique de Nancy (CRAN), France, in 2006. Since 2008, he has been working as an association professor at the Université de Khemis Miliana and as a researcher in the Laboratoire de l'Énergie et des Systemes Intelligents (LESI, Algeria). His research interests are in the areas of Markovian switching systems with applications.Mohammed ChadliMohammed Chadli is a graduate of the Ecole Normale Supérieure, Mohammedia, Morocco (1993). He received his master's degree (DEA) from the Engineering School INSA of Lyon in 1999, his PhD degree from CRAN, France, in 2002 and then completed his habilitation in 2011 at the University of Picardie Jules Verne (UPJV), Amiens, France. From 1999 to 2004, he was an associate researcher in CRAN and a lecturer at the Institut National Polytechnique de Lorraine (INPL) of Nancy. Since 2004, he has been working as an associate professor at the UPJV and as a researcher in the Modeling, Information & Systems Laboratory, Amiens, France. He was a visiting professor at the VSB TUO, Ostrava, Czech Republic (2012) and UiA, Norway (2013). His research interests include, on the theoretical side, analysis and control of singular (switched) systems, analysis and control of fuzzy/linear parameter varying polytopic models, the multiple model approach, robust control, fault detection and isolation, fault-tolerant control, and analysis and control via linear matrix inequality optimisation techniques and Lyapunov methods. On the application side, he is mainly interested in automotive control. He has authored/co-authored four books (Wiley, Hermes), book chapters and numerous articles published in international journals and conferences. Dr Chadli is a senior member of IEEE and is also serving as an editorial board member for some international journals. A structured filter for Markovian switching systemsAll authorsAbdelfettah Hocine, Mohammed Chadli & Hamid Reza Karimihttps://doi.org/10.1080/00207721.2014.909094Published online:03 June 2014Display full sizeHamid Reza KarimiHamid Reza Karimi is a professor in control systems at the Faculty of Engineering and Science of the University of Agder, Norway. His research interests are in the areas of control systems and signal processing with an emphasis on applications in engineering. Dr Karimi is a senior member of IEEE and is also serving as the chairman of the IEEE chapter on control systems at the IEEE Norway section. He is also serving as an editorial board member for some international journals such as Mechatronics, Neurocomputing, Information Sciences, Asian Journal of Control, Journal of Franklin Institute, IEEE Access, for instance. He is also a member of the IEEE Technical Committee on Systems with Uncertainty, IFAC Technical Committee on Robust Control and IFAC Technical Committee on Automotive Control. A structured filter for Markovian switching systemsAll authorsAbdelfettah Hocine, Mohammed Chadli & Hamid Reza Karimihttps://doi.org/10.1080/00207721.2014.909094Published online:03 June 2014Display full size