Discretization Method of Continuous-Time Dynamic Linear Model
The article presents a new discretization method of a continuous-time linear model of sensor dynamics. It can be useful to reduce measuring errors related to the inertia of the sensor. For example it is important in the measurement of rapid processes as temperature changes in combustion chambers, or...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Polish Academy of Sciences
2023-05-01
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| Series: | International Journal of Electronics and Telecommunications |
| Subjects: | |
| Online Access: | https://journals.pan.pl/Content/127372/PDF/11-4151-Grys-sk.pdf |
| _version_ | 1797815260577529856 |
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| author | Sławomir Gryś Waldemar Minkina |
| author_facet | Sławomir Gryś Waldemar Minkina |
| author_sort | Sławomir Gryś |
| collection | DOAJ |
| description | The article presents a new discretization method of a continuous-time linear model of sensor dynamics. It can be useful to reduce measuring errors related to the inertia of the sensor. For example it is important in the measurement of rapid processes as temperature changes in combustion chambers, or for shortening the time needed to establish the sensor readings in a transition state. There is assumed that sensor dynamics can be approximated by linear differential equation or transfer function. The searched coefficients of equivalent difference equation or discrete transfer function are obtained from Taylor expansion of a sensor output signal and then on the solution of the linear set of equations. The method does not require decomposition of sensor transfer function for zeros and poles and can be applied to the case of transfer function with zeros equal to zero. The method was used to compensate the dynamics of sensor measuring fast signals. The Bode characteristics of a compensator were compared with others derived using classical methods of discretization of linear models. Additionally, signals in time were presented to show the dynamic error before and after compensation. |
| first_indexed | 2024-03-13T08:20:01Z |
| format | Article |
| id | doaj.art-b829db54d2744e0a9c07d67b66804b14 |
| institution | Directory Open Access Journal |
| issn | 2081-8491 2300-1933 |
| language | English |
| last_indexed | 2024-03-13T08:20:01Z |
| publishDate | 2023-05-01 |
| publisher | Polish Academy of Sciences |
| record_format | Article |
| series | International Journal of Electronics and Telecommunications |
| spelling | doaj.art-b829db54d2744e0a9c07d67b66804b142023-05-31T10:14:03ZengPolish Academy of SciencesInternational Journal of Electronics and Telecommunications2081-84912300-19332023-05-01vol. 69No 2281286https://doi.org/10.24425/ijet.2023.144362Discretization Method of Continuous-Time Dynamic Linear ModelSławomir Gryś0Waldemar Minkina1University of Technology, Faculty of Electrical Engineering, PolandJan Dlugosz University in Czestochowa, Faculty of Science and Technology, PolandThe article presents a new discretization method of a continuous-time linear model of sensor dynamics. It can be useful to reduce measuring errors related to the inertia of the sensor. For example it is important in the measurement of rapid processes as temperature changes in combustion chambers, or for shortening the time needed to establish the sensor readings in a transition state. There is assumed that sensor dynamics can be approximated by linear differential equation or transfer function. The searched coefficients of equivalent difference equation or discrete transfer function are obtained from Taylor expansion of a sensor output signal and then on the solution of the linear set of equations. The method does not require decomposition of sensor transfer function for zeros and poles and can be applied to the case of transfer function with zeros equal to zero. The method was used to compensate the dynamics of sensor measuring fast signals. The Bode characteristics of a compensator were compared with others derived using classical methods of discretization of linear models. Additionally, signals in time were presented to show the dynamic error before and after compensation.https://journals.pan.pl/Content/127372/PDF/11-4151-Grys-sk.pdfsensor dynamicscompensationdiscrete modelstemperature measurement |
| spellingShingle | Sławomir Gryś Waldemar Minkina Discretization Method of Continuous-Time Dynamic Linear Model International Journal of Electronics and Telecommunications sensor dynamics compensation discrete models temperature measurement |
| title | Discretization Method of Continuous-Time Dynamic Linear Model |
| title_full | Discretization Method of Continuous-Time Dynamic Linear Model |
| title_fullStr | Discretization Method of Continuous-Time Dynamic Linear Model |
| title_full_unstemmed | Discretization Method of Continuous-Time Dynamic Linear Model |
| title_short | Discretization Method of Continuous-Time Dynamic Linear Model |
| title_sort | discretization method of continuous time dynamic linear model |
| topic | sensor dynamics compensation discrete models temperature measurement |
| url | https://journals.pan.pl/Content/127372/PDF/11-4151-Grys-sk.pdf |
| work_keys_str_mv | AT sławomirgrys discretizationmethodofcontinuoustimedynamiclinearmodel AT waldemarminkina discretizationmethodofcontinuoustimedynamiclinearmodel |