A Sensor-Aided System for Physical Perfect Control Applications in the Continuous-Time Domain
The recently introduced continuous-time perfect control algorithm has revealed a great potential in terms of the maximum-speed and maximum-accuracy behaviors. However, the discussed inverse model-originated control strategy is associated with considerable energy consumption, which has exceeded a tec...
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MDPI AG
2023-02-01
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| Online Access: | https://www.mdpi.com/1424-8220/23/4/1947 |
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| author | Paweł Majewski Wojciech P. Hunek Dawid Pawuś Krzysztof Szurpicki Tomasz Wojtala |
| author_facet | Paweł Majewski Wojciech P. Hunek Dawid Pawuś Krzysztof Szurpicki Tomasz Wojtala |
| author_sort | Paweł Majewski |
| collection | DOAJ |
| description | The recently introduced continuous-time perfect control algorithm has revealed a great potential in terms of the maximum-speed and maximum-accuracy behaviors. However, the discussed inverse model-originated control strategy is associated with considerable energy consumption, which has exceeded a technological limitation in a number of industrial cases. In order to prevent such an important drawback, several solutions could be considered. Therefore, an innovative perfect control scheme devoted to the multivariable real-life objects is investigated in this paper. Henceforth, the new IMC-related approach, strongly supported by the vital sensor-aided system, can successfully be employed in every real-time engineering task, where the precision of conducted processes plays an important role. Theoretical and practical examples strictly confirm the big implementation potential of the new established method over existing ones. It has been seen that the new perfect control algorithm outperforms the classical control law in the form of LQR (considered in two separate ways), which is clearly manifested by almost all simulation examples. For instance, in the case of the multi-tank system, the performance indices ISE, RT, and MOE for LQR without an integration action have been equal to 2.431, <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mn>2.4</mn><mo>×</mo><msup><mn>10</mn><mn>2</mn></msup></mrow></semantics></math></inline-formula>, and <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mn>3.655</mn><mo>×</mo><msup><mn>10</mn><mrow><mo>−</mo><mn>6</mn></mrow></msup></mrow></semantics></math></inline-formula>, respectively, whilst the respective values 1.638, <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mn>1.58</mn><mo>×</mo><msup><mn>10</mn><mn>2</mn></msup></mrow></semantics></math></inline-formula>, and <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mn>1.514</mn><mo>×</mo><msup><mn>10</mn><mrow><mo>−</mo><mn>7</mn></mrow></msup></mrow></semantics></math></inline-formula> have been received for the proposed approach. |
| first_indexed | 2024-03-11T08:11:20Z |
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| institution | Directory Open Access Journal |
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| language | English |
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| spelling | doaj.art-e5e5c7d712eb4045b03f525e588db9e82023-11-16T23:08:17ZengMDPI AGSensors1424-82202023-02-01234194710.3390/s23041947A Sensor-Aided System for Physical Perfect Control Applications in the Continuous-Time DomainPaweł Majewski0Wojciech P. Hunek1Dawid Pawuś2Krzysztof Szurpicki3Tomasz Wojtala4Faculty of Electrical Engineering, Automatic Control and Informatics, Opole University of Technology, Prószkowska 76 Street, 45-758 Opole, PolandFaculty of Electrical Engineering, Automatic Control and Informatics, Opole University of Technology, Prószkowska 76 Street, 45-758 Opole, PolandFaculty of Electrical Engineering, Automatic Control and Informatics, Opole University of Technology, Prószkowska 76 Street, 45-758 Opole, PolandFaculty of Electrical Engineering, Automatic Control and Informatics, Opole University of Technology, Prószkowska 76 Street, 45-758 Opole, PolandFaculty of Electrical Engineering, Automatic Control and Informatics, Opole University of Technology, Prószkowska 76 Street, 45-758 Opole, PolandThe recently introduced continuous-time perfect control algorithm has revealed a great potential in terms of the maximum-speed and maximum-accuracy behaviors. However, the discussed inverse model-originated control strategy is associated with considerable energy consumption, which has exceeded a technological limitation in a number of industrial cases. In order to prevent such an important drawback, several solutions could be considered. Therefore, an innovative perfect control scheme devoted to the multivariable real-life objects is investigated in this paper. Henceforth, the new IMC-related approach, strongly supported by the vital sensor-aided system, can successfully be employed in every real-time engineering task, where the precision of conducted processes plays an important role. Theoretical and practical examples strictly confirm the big implementation potential of the new established method over existing ones. It has been seen that the new perfect control algorithm outperforms the classical control law in the form of LQR (considered in two separate ways), which is clearly manifested by almost all simulation examples. For instance, in the case of the multi-tank system, the performance indices ISE, RT, and MOE for LQR without an integration action have been equal to 2.431, <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mn>2.4</mn><mo>×</mo><msup><mn>10</mn><mn>2</mn></msup></mrow></semantics></math></inline-formula>, and <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mn>3.655</mn><mo>×</mo><msup><mn>10</mn><mrow><mo>−</mo><mn>6</mn></mrow></msup></mrow></semantics></math></inline-formula>, respectively, whilst the respective values 1.638, <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mn>1.58</mn><mo>×</mo><msup><mn>10</mn><mn>2</mn></msup></mrow></semantics></math></inline-formula>, and <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mn>1.514</mn><mo>×</mo><msup><mn>10</mn><mrow><mo>−</mo><mn>7</mn></mrow></msup></mrow></semantics></math></inline-formula> have been received for the proposed approach.https://www.mdpi.com/1424-8220/23/4/1947continuous-time systemsperfect controlpractical implementationreal-life plantstate-space description |
| spellingShingle | Paweł Majewski Wojciech P. Hunek Dawid Pawuś Krzysztof Szurpicki Tomasz Wojtala A Sensor-Aided System for Physical Perfect Control Applications in the Continuous-Time Domain Sensors continuous-time systems perfect control practical implementation real-life plant state-space description |
| title | A Sensor-Aided System for Physical Perfect Control Applications in the Continuous-Time Domain |
| title_full | A Sensor-Aided System for Physical Perfect Control Applications in the Continuous-Time Domain |
| title_fullStr | A Sensor-Aided System for Physical Perfect Control Applications in the Continuous-Time Domain |
| title_full_unstemmed | A Sensor-Aided System for Physical Perfect Control Applications in the Continuous-Time Domain |
| title_short | A Sensor-Aided System for Physical Perfect Control Applications in the Continuous-Time Domain |
| title_sort | sensor aided system for physical perfect control applications in the continuous time domain |
| topic | continuous-time systems perfect control practical implementation real-life plant state-space description |
| url | https://www.mdpi.com/1424-8220/23/4/1947 |
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