Accurate Liquid Level Measurement with Minimal Error: A Chaotic Observer Approach
This paper delves into precisely measuring liquid levels using a specific methodology with diverse real-world applications such as process optimization, quality control, fault detection and diagnosis, etc. It demonstrates the process of liquid level measurement by employing a chaotic observer, which...
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| Format: | Article |
| Language: | English |
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MDPI AG
2024-02-01
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| Series: | Computation |
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| Online Access: | https://www.mdpi.com/2079-3197/12/2/29 |
| _version_ | 1797298583043571712 |
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| author | Vighnesh Shenoy Prathvi Shenoy Santhosh Krishnan Venkata |
| author_facet | Vighnesh Shenoy Prathvi Shenoy Santhosh Krishnan Venkata |
| author_sort | Vighnesh Shenoy |
| collection | DOAJ |
| description | This paper delves into precisely measuring liquid levels using a specific methodology with diverse real-world applications such as process optimization, quality control, fault detection and diagnosis, etc. It demonstrates the process of liquid level measurement by employing a chaotic observer, which senses multiple variables within a system. A three-dimensional computational fluid dynamics (CFD) model is meticulously created using ANSYS to explore the laminar flow characteristics of liquids comprehensively. The methodology integrates the system identification technique to formulate a third-order state–space model that characterizes the system. Based on this mathematical model, we develop estimators inspired by Lorenz and Rossler’s principles to gauge the liquid level under specified liquid temperature, density, inlet velocity, and sensor placement conditions. The estimated results are compared with those of an artificial neural network (ANN) model. These ANN models learn and adapt to the patterns and features in data and catch non-linear relationships between input and output variables. The accuracy and error minimization of the developed model are confirmed through a thorough validation process. Experimental setups are employed to ensure the reliability and precision of the estimation results, thereby underscoring the robustness of our liquid-level measurement methodology. In summary, this study helps to estimate unmeasured states using the available measurements, which is essential for understanding and controlling the behavior of a system. It helps improve the performance and robustness of control systems, enhance fault detection capabilities, and contribute to dynamic systems’ overall efficiency and reliability. |
| first_indexed | 2024-03-07T22:36:56Z |
| format | Article |
| id | doaj.art-ce5c859850c640c288e4fb3213e4474b |
| institution | Directory Open Access Journal |
| issn | 2079-3197 |
| language | English |
| last_indexed | 2024-03-07T22:36:56Z |
| publishDate | 2024-02-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Computation |
| spelling | doaj.art-ce5c859850c640c288e4fb3213e4474b2024-02-23T15:12:51ZengMDPI AGComputation2079-31972024-02-011222910.3390/computation12020029Accurate Liquid Level Measurement with Minimal Error: A Chaotic Observer ApproachVighnesh Shenoy0Prathvi Shenoy1Santhosh Krishnan Venkata2Department of Instrumentation & Control Engg, Manipal Institute of Technology, Manipal Academy of Higher Education, Manipal 576104, IndiaDepartment of Electrical & Electronics Engg, Manipal Institute of Technology, Manipal Academy of Higher Education, Manipal 576104, IndiaDepartment of Instrumentation & Control Engg, Manipal Institute of Technology, Manipal Academy of Higher Education, Manipal 576104, IndiaThis paper delves into precisely measuring liquid levels using a specific methodology with diverse real-world applications such as process optimization, quality control, fault detection and diagnosis, etc. It demonstrates the process of liquid level measurement by employing a chaotic observer, which senses multiple variables within a system. A three-dimensional computational fluid dynamics (CFD) model is meticulously created using ANSYS to explore the laminar flow characteristics of liquids comprehensively. The methodology integrates the system identification technique to formulate a third-order state–space model that characterizes the system. Based on this mathematical model, we develop estimators inspired by Lorenz and Rossler’s principles to gauge the liquid level under specified liquid temperature, density, inlet velocity, and sensor placement conditions. The estimated results are compared with those of an artificial neural network (ANN) model. These ANN models learn and adapt to the patterns and features in data and catch non-linear relationships between input and output variables. The accuracy and error minimization of the developed model are confirmed through a thorough validation process. Experimental setups are employed to ensure the reliability and precision of the estimation results, thereby underscoring the robustness of our liquid-level measurement methodology. In summary, this study helps to estimate unmeasured states using the available measurements, which is essential for understanding and controlling the behavior of a system. It helps improve the performance and robustness of control systems, enhance fault detection capabilities, and contribute to dynamic systems’ overall efficiency and reliability.https://www.mdpi.com/2079-3197/12/2/29computational fluid dynamics (CFD)chaotic systemLorenz and Rossler estimatorsystem identificationLyapunov exponentsorifice |
| spellingShingle | Vighnesh Shenoy Prathvi Shenoy Santhosh Krishnan Venkata Accurate Liquid Level Measurement with Minimal Error: A Chaotic Observer Approach Computation computational fluid dynamics (CFD) chaotic system Lorenz and Rossler estimator system identification Lyapunov exponents orifice |
| title | Accurate Liquid Level Measurement with Minimal Error: A Chaotic Observer Approach |
| title_full | Accurate Liquid Level Measurement with Minimal Error: A Chaotic Observer Approach |
| title_fullStr | Accurate Liquid Level Measurement with Minimal Error: A Chaotic Observer Approach |
| title_full_unstemmed | Accurate Liquid Level Measurement with Minimal Error: A Chaotic Observer Approach |
| title_short | Accurate Liquid Level Measurement with Minimal Error: A Chaotic Observer Approach |
| title_sort | accurate liquid level measurement with minimal error a chaotic observer approach |
| topic | computational fluid dynamics (CFD) chaotic system Lorenz and Rossler estimator system identification Lyapunov exponents orifice |
| url | https://www.mdpi.com/2079-3197/12/2/29 |
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