{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,29]],"date-time":"2026-05-29T16:14:43Z","timestamp":1780071283516,"version":"3.54.0"},"reference-count":23,"publisher":"MDPI AG","issue":"10","license":[{"start":{"date-parts":[[2015,10,23]],"date-time":"2015-10-23T00:00:00Z","timestamp":1445558400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Sensors"],"abstract":"<jats:p>In this paper, a new method for mass air flow (MAF) sensor error compensation and an online updating error map (or lookup table) due to installation and aging in a diesel engine is developed. Since the MAF sensor error is dependent on the engine operating point, the error model is represented as a two-dimensional (2D) map with two inputs, fuel mass injection quantity and engine speed. Meanwhile, the 2D map representing the MAF sensor error is described as a piecewise bilinear interpolation model, which can be written as a dot product between the regression vector and parameter vector using a membership function. With the combination of the 2D map regression model and the diesel engine air path system, an LPV adaptive observer with low computational load is designed to estimate states and parameters jointly. The convergence of the proposed algorithm is proven under the conditions of persistent excitation and given inequalities. The observer is validated against the simulation data from engine software enDYNA provided by Tesis. The results demonstrate that the operating point-dependent error of the MAF sensor can be approximated acceptably by the 2D map from the proposed method.<\/jats:p>","DOI":"10.3390\/s151027142","type":"journal-article","created":{"date-parts":[[2015,10,24]],"date-time":"2015-10-24T08:27:06Z","timestamp":1445675226000},"page":"27142-27159","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":12,"title":["An LPV Adaptive Observer for Updating a Map Applied to an MAF Sensor in a Diesel Engine"],"prefix":"10.3390","volume":"15","author":[{"given":"Zhiyuan","family":"Liu","sequence":"first","affiliation":[{"name":"Department of Control Science and Engineering, Harbin Institute of Technology, Harbin 150001, China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Changhui","family":"Wang","sequence":"additional","affiliation":[{"name":"Department of Control Science and Engineering, Harbin Institute of Technology, Harbin 150001, China"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"1968","published-online":{"date-parts":[[2015,10,23]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"883","DOI":"10.1016\/S0196-8904(03)00194-8","article-title":"Diesel engine exhaust gas recirculation\u2014A review on advanced and novel concepts","volume":"45","author":"Zheng","year":"2004","journal-title":"Energy Convers. 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HFM2-Air Mass Meter."},{"key":"ref_5","doi-asserted-by":"crossref","first-page":"14838","DOI":"10.3390\/s121114838","article-title":"Novel air flow meter for an automobile engine using a Si sensor with porous Si thermal isolation","volume":"12","author":"Hourdakis","year":"2012","journal-title":"Sensors"},{"key":"ref_6","doi-asserted-by":"crossref","unstructured":"Betta, G., Capriglione, D., Pietrosanto, A., and Sommella, P. (2011, January 5\u20138). ANN-based sensor fault accommodation techniques. Proceedings of the 2011 IEEE International Symposium on Diagnostics for Electric Machines, Power Electronics & Drives (SDEMPED), Bologna, Italy.","DOI":"10.1109\/DEMPED.2011.6063672"},{"key":"ref_7","doi-asserted-by":"crossref","unstructured":"Zhao, J., and Wang, J. (2014, January 4\u20136). Engine mass airflow sensor fault detection via an adaptive oxygen fraction observer. Proceedings of the 2014 American Control Conference (ACC), Portland, OR, USA.","DOI":"10.1109\/ACC.2014.6858750"},{"key":"ref_8","unstructured":"Nelles, O. (2001). Nonlinear System Identification: From Classical Approaches to Neural Networks and Fuzzy Models, Springer Science & Business Media."},{"key":"ref_9","unstructured":"H\u00f6ckerdal, E., Frisk, E., Eriksson, L., and Scania, C. (2010, January 12\u201314). Model based engine map adaptation using EKF. Proceedings of the 6th IFAC Symposium on Advances in Automotive Control, Munich, Germany."},{"key":"ref_10","doi-asserted-by":"crossref","first-page":"442","DOI":"10.1016\/j.conengprac.2011.01.006","article-title":"EKF-based adaptation of look-up tables with an air mass-flow sensor application","volume":"19","author":"Frisk","year":"2011","journal-title":"Control Eng. Pract."},{"key":"ref_11","unstructured":"H\u00f6ckerdal, E., Eriksson, L., and Frisk, E. (2012). Identification for Automotive Systems, Springer."},{"key":"ref_12","unstructured":"Zhang, Q., and Clavel, A. (2001, January 4\u20137). Adaptive observer with exponential forgetting factor for linear time varying systems. Proceedings of the 40th IEEE Conference on Decision and Control, Orlando, FL, USA."},{"key":"ref_13","doi-asserted-by":"crossref","first-page":"525","DOI":"10.1109\/9.989154","article-title":"Adaptive observer for multiple-input-multiple-output (MIMO) linear time-varying systems","volume":"47","author":"Zhang","year":"2002","journal-title":"IEEE Trans. Autom. Control"},{"key":"ref_14","unstructured":"Zhang, Q. (2005, January 4\u20138). An adaptive observer for sensor fault estimation in linear time varying systems. Proceedings of the IFAC World Congress, Prague, Czech Republic."},{"key":"ref_15","doi-asserted-by":"crossref","first-page":"37","DOI":"10.1504\/IJMIC.2008.020998","article-title":"An adaptive observer for sensor fault estimation in a class of uniformly observable non-linear systems","volume":"4","author":"Zhang","year":"2008","journal-title":"Int. J. Model. Identif. Control"},{"key":"ref_16","doi-asserted-by":"crossref","first-page":"960","DOI":"10.1177\/0954407011398177","article-title":"Modelling diesel engines with a variable-geometry turbocharger and exhaust gas recirculation by optimization of model parameters for capturing non-linear system dynamics","volume":"225","author":"Eriksson","year":"2011","journal-title":"Proc. Inst. Mech. Eng. Part D J. Automob. Eng."},{"key":"ref_17","unstructured":"TESIS DYNAware (2006). en-DYNA\u00ae THERMOS\u00ae 2.0 Block Reference Manual."},{"key":"ref_18","unstructured":"TESIS DYNAware (2006). en-DYNA\u00ae THERMOS\u00ae 2.0 User Manual."},{"key":"ref_19","unstructured":"Council of European Parliament (2005). Directive 2005\/55\/EC of the European Parliament and of the Council of 28 September 2005, OJL 275."},{"key":"ref_20","unstructured":"Protection of the Environment. Code of Federal Regulations, Part 86, Subpart N, Title 40. USA, 1999."},{"key":"ref_21","unstructured":"Directive, EEC. Emission Test Cycles for the Certification of Light Duty Vehicles in Europe, EEC Directive 90\/C81\/01; EEC Emission Cycles, 2009."},{"key":"ref_22","unstructured":"Slotine, J.J.E., and Li, W. (1991). Applied Nonlinear Control, Prentice-Hall."},{"key":"ref_23","doi-asserted-by":"crossref","first-page":"436","DOI":"10.1109\/9.486646","article-title":"Affine parameter-dependent Lyapunov functions and real parametric uncertainty","volume":"41","author":"Gahinet","year":"1996","journal-title":"IEEE Trans. Autom. 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