Neural Network Based Real-time Correction of Transducer Dynamic Errors

Abstract In order to carry out real-time dynamic error correction of transducers described by a linear differential equation, a novel recurrent neural network was developed. The network structure is based on solving this equation with respect to the input quantity when using the state variables. It is shown that such a real-time correction can be carried out using simple linear perceptrons. Due to the use of a neural technique, knowledge of the dynamic parameters of the transducer is not necessary. Theoretical considerations are illustrated by the results of simulation studies performed for the modeled second order transducer. The most important properties of the neural dynamic error correction, when emphasizing the fundamental advantages and disadvantages, are discussed.

[1]  Simon Haykin,et al.  Neural Networks: A Comprehensive Foundation , 1998 .

[2]  Kurt Hornik,et al.  Multilayer feedforward networks are universal approximators , 1989, Neural Networks.

[3]  Goutam Chakraborty,et al.  Neural-Network-Based Robust Linearization and Compensation Technique for Sensors Under Nonlinear Environmental Influences , 2008, IEEE Transactions on Circuits and Systems I: Regular Papers.

[4]  Neil M. White,et al.  Load cell response correction using analog adaptive techniques , 2003, Proceedings of the 2003 International Symposium on Circuits and Systems, 2003. ISCAS '03..

[5]  H. B. Bahar,et al.  ARTIFICIAL NEURAL NETWORKS BASED DYNAMIC WEIGHT ESTIMATION WITH OPTICAL ARRANGEMENT , 2010 .

[6]  J. Jakubiec,et al.  A method of modelling sampling converter dynamic errors , 2001 .

[7]  Roman Z. Morawski,et al.  Unified approach to measurand reconstruction , 1993 .

[8]  Douglas P. Looze Franklin, Powell and Emami-Naeini, Feedback Control of Dynamic Systems, 6 th Edition, Prentice-Hall, 2010. (referred to as FPE) References: Ogata, Modern Control Engineering, Prentice-Hall, 2009. Dorf, Modern Control Systems, Prentice-Hall, 2008. , 2013 .

[9]  Wei Zhao,et al.  Infrared thermometer sensor dynamic error compensation using Hammerstein neural network , 2009 .

[10]  Roland S. Burns,et al.  Advanced control engineering , 2001 .

[11]  Simon Haykin,et al.  Neural Networks: A Comprehensive Foundation (3rd Edition) , 2007 .

[12]  D. H. Horrocks,et al.  Dynamic weight estimation using an artificial neural network , 1998, Artif. Intell. Eng..

[13]  J. Nabielec An outlook on the DSP dynamic error blind correction of the analog part of the measurement channel , 1999, IMTC/99. Proceedings of the 16th IEEE Instrumentation and Measurement Technology Conference (Cat. No.99CH36309).

[14]  Heekuck Oh,et al.  Neural Networks for Pattern Recognition , 1993, Adv. Comput..

[15]  Randy Frank Understanding Smart Sensors, Second Edition , 2000 .

[16]  Jooyoung Park,et al.  Universal Approximation Using Radial-Basis-Function Networks , 1991, Neural Computation.

[17]  Wang Wen-lian FPGA Implementation of High Speed Parallel Correction for Sensor ' s Dynamic Error , 2012 .

[18]  Naresh K. Sinha,et al.  Modern Control Systems , 1981, IEEE Transactions on Systems, Man, and Cybernetics.

[19]  J. Fraden,et al.  Handbook of Modern Sensors: Physics, Designs, and Applications, 2nd ed. , 1998 .

[20]  T.,et al.  Training Feedforward Networks with the Marquardt Algorithm , 2004 .

[21]  J. Nazuno Haykin, Simon. Neural networks: A comprehensive foundation, Prentice Hall, Inc. Segunda Edición, 1999 , 2000 .

[22]  Yan-xia Wang,et al.  Research of Ultrasonic Flow Measurement and Temperature Compensation System Based on Neural Network , 2010, 2010 International Conference on Artificial Intelligence and Computational Intelligence.

[23]  Daniel Massicotte,et al.  Neural-network-based method of calibration and measurand reconstruction for a high-pressure measuring system , 1998, IEEE Trans. Instrum. Meas..

[24]  Madan M. Gupta,et al.  Static and Dynamic Neural Networks: From Fundamentals to Advanced Theory , 2003 .

[25]  A. Barwicz,et al.  Neural-network-based calibration of a mini-spectrophotometer , 2002, IMTC/2002. Proceedings of the 19th IEEE Instrumentation and Measurement Technology Conference (IEEE Cat. No.00CH37276).

[26]  G. V. Puskorius,et al.  A signal processing framework based on dynamic neural networks with application to problems in adaptation, filtering, and classification , 1998, Proc. IEEE.

[27]  Randy Frank Understanding Smart Sensors , 1995 .

[28]  Mark Beale,et al.  Neural Network Toolbox™ User's Guide , 2015 .

[29]  Zhijie Zhang,et al.  Real-time correction for sensor's dynamic error based on DSP , 2011, 2011 IEEE International Instrumentation and Measurement Technology Conference.

[30]  Roman Z. Morawski,et al.  On teaching measurement applications of digital signal processing , 2007 .

[31]  Piotr Makowski,et al.  Error Model Application in Neural Reconstruction of Nonlinear Sensor Input Signal , 2009, IEEE Transactions on Instrumentation and Measurement.

[32]  Neil M. White,et al.  Application of analog adaptive filters for dynamic sensor compensation , 2005, IEEE Transactions on Instrumentation and Measurement.

[33]  Shakti Kumar,et al.  Development of a virtual linearizer for correcting transducer static nonlinearity. , 2006, ISA transactions.

[34]  Santanu Kumar Rath,et al.  An intelligent pressure sensor with self-calibration capability using artificial neural networks , 2000, Smc 2000 conference proceedings. 2000 ieee international conference on systems, man and cybernetics. 'cybernetics evolving to systems, humans, organizations, and their complex interactions' (cat. no.0.