Adjustment method of parameters intended for first-principle models

• Autorzy: Czop P. , Kost G. , Sławik D. , Wszołek G. , Jakubowski D.
• Języki publikacji: EN

Abstrakty

EN

Purpose: This paper demonstrates a process of estimation phenomenological parameters of a first-principle nonlinear model based on the hydraulic damper system. Design/methodology/approach: First-principle (FP) models are formulated using a system of continuous ordinary differential equations capturing usually nonlinear relations among variables of the model. The considering model applies three categories of parameters: geometrical, physical and phenomenological. Geometrical and physical parameters are deduced from construction or operational documentation. The phenomenological parameters are the adjustable ones, which are estimated or adjusted based on their roughly known values, e.g. friction/damping coefficients. Findings: A phenomenological parameter, friction coefficient, was successfully estimated based on the experimental data. The error between the model response and experimental data is not greater than 10%. Research limitations/implications: Adjusting a model to data is, in most cases, a non-convex optimization problem and the criterion function may have several local minima. This is a case when multiple parameters are simultaneously estimated. Practical implications: First-principle models are fundamental tools for understanding, optimizing, designing, and diagnosing technical systems since they are updatable using operational measurements. Originality/value: First-principle models are frequently adjusted by trial-and-error, which can lead to nonoptimal results. In order to avoid deficiencies of the trial-and-error approach, a formalized mathematical method using optimization techniques to minimize the error criterion, and find optimal values of tunable model parameters, was proposed and demonstrated in this work.

Słowa kluczowe

EN

first-principle model; data driven model; hydraulic damper

• Wydawca: International OCSCO World Press
• Czasopismo: Journal of Achievements in Materials and Manufacturing Engineering
• Rocznik: 2012
• Tom: Vol. 55, nr 2
• Strony: 446--453
• Opis fizyczny: Bibliogr. 16 poz., rys.

Twórcy

autor

Czop P.

• Institute of Engineering Processes Automation and Integrated Manufacturing Systems, Silesian University of Technology, ul. Konarskiego 18a, 44-100 Gliwice, Poland

autor

Kost G.

• Institute of Engineering Processes Automation and Integrated Manufacturing Systems, Silesian University of Technology, ul. Konarskiego 18a, 44-100 Gliwice, Poland

autor

Sławik D.

• Institute of Engineering Processes Automation and Integrated Manufacturing Systems, Silesian University of Technology, ul. Konarskiego 18a, 44-100 Gliwice, Poland

autor

Wszołek G.

• Institute of Engineering Processes Automation and Integrated Manufacturing Systems, Silesian University of Technology, ul. Konarskiego 18a, 44-100 Gliwice, Poland

autor

Jakubowski D.

• Institute of Engineering Processes Automation and Integrated Manufacturing Systems, Silesian University of Technology, ul. Konarskiego 18a, 44-100 Gliwice, Poland

Bibliografia

• [1] P. Czop, D. Sławik, G. Wszołek, Demonstration of First-Principle Data-Driven models using numerical case studies, Journal of Achievements in Materials and Manufacturing Engineering 45/2 (2011) 170-177.
• [2] P. Czop, G. Kost, D. Sławik, G. Wszołek, Formulation and identification of First-Principle Data-Driven models, Journal of Achievements in Materials and Manufacturing Engineering 44/2 (2011) 179-186.
• [3] P. Czop, G. Kost, D. Sławik, G. Wszołek, Formulation and identification of First-Principle Data-Driven models, Journal of Achievements in Materials and Manufacturing Engineering 44/2 (2011) 179-186.
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• [11] D. Sławik, P. Czop, A. Król, G. Wszołek, Optimization of hydraulic dampers with the use of design for Six Sigma methodology, Journal of Achievements in Materials and Manufacturing Engineering 43/2 (2010) 676-683.
• [12] P. Czop, D. Sławik, P. Sliwa, Static validation of a model of a disc valve system used in hydraulic dampers, International Journal of Vehicle Design 53/4 (2010) 317-342.
• [13] P. Czop, D. Sławik, A high-frequency model of a hydraulic damper and servo-hydraulic tester, Mechanical Systems and Signal Processing 25/6 (2011) 1937-1955.
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• [16] Matlab/Simulink package documentation, The Math Works Inc., Natick 1998.