Pareto Effect of LMI for Ship Propulsion
The aim of this study was to analyze the dynamics of a multidimensional object based on the Pareto curve for the Linear Matrix Inequalities (LMI) controller. The study was carried out based on an available <span style="font-variant: small-caps;">“Blue Lady”</span> training vess...
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| Format: | Article |
| Language: | English |
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MDPI AG
2021-08-01
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| Series: | Applied Sciences |
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| Online Access: | https://www.mdpi.com/2076-3417/11/16/7297 |
| _version_ | 1797524771929325568 |
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| author | Monika Rybczak Kamil Podgórski |
| author_facet | Monika Rybczak Kamil Podgórski |
| author_sort | Monika Rybczak |
| collection | DOAJ |
| description | The aim of this study was to analyze the dynamics of a multidimensional object based on the Pareto curve for the Linear Matrix Inequalities (LMI) controller. The study was carried out based on an available <span style="font-variant: small-caps;">“Blue Lady”</span> training vessel model controller with the use of a MATLAB and Simulink simulation package. Research was focused on optimising both the energy to be used when manoeuvring and the ship’s dynamics. Analysis was combined with the application of <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mi>H</mi><mn>2</mn></msub><mo>/</mo><msub><mi>H</mi><mo>∞</mo></msub></mrow></semantics></math></inline-formula> norms finding the Pareto optimal solution for mixed norms used at the <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mi>γ</mi><mo>∞</mo></msub></semantics></math></inline-formula> parameter. Observations for a multidimensional ship model proved that it is possible to optimize the system, using principles of the Pareto curve, to reduce energy consumption in steering-propulsion systems while performing precise manoeuvres in ports correctly. Parameter values, received from observations of operation of individual steering-propulsion systems, proved to be reasonable. |
| first_indexed | 2024-03-10T09:02:17Z |
| format | Article |
| id | doaj.art-4e5b72fbceed4082a95b3c2c7a373295 |
| institution | Directory Open Access Journal |
| issn | 2076-3417 |
| language | English |
| last_indexed | 2024-03-10T09:02:17Z |
| publishDate | 2021-08-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Applied Sciences |
| spelling | doaj.art-4e5b72fbceed4082a95b3c2c7a3732952023-11-22T06:39:30ZengMDPI AGApplied Sciences2076-34172021-08-011116729710.3390/app11167297Pareto Effect of LMI for Ship PropulsionMonika Rybczak0Kamil Podgórski1Department of Ship Automation, Gdynia Maritime University, 81-225 Gdynia, PolandDepartment of Ship Automation, Gdynia Maritime University, 81-225 Gdynia, PolandThe aim of this study was to analyze the dynamics of a multidimensional object based on the Pareto curve for the Linear Matrix Inequalities (LMI) controller. The study was carried out based on an available <span style="font-variant: small-caps;">“Blue Lady”</span> training vessel model controller with the use of a MATLAB and Simulink simulation package. Research was focused on optimising both the energy to be used when manoeuvring and the ship’s dynamics. Analysis was combined with the application of <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mi>H</mi><mn>2</mn></msub><mo>/</mo><msub><mi>H</mi><mo>∞</mo></msub></mrow></semantics></math></inline-formula> norms finding the Pareto optimal solution for mixed norms used at the <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mi>γ</mi><mo>∞</mo></msub></semantics></math></inline-formula> parameter. Observations for a multidimensional ship model proved that it is possible to optimize the system, using principles of the Pareto curve, to reduce energy consumption in steering-propulsion systems while performing precise manoeuvres in ports correctly. Parameter values, received from observations of operation of individual steering-propulsion systems, proved to be reasonable.https://www.mdpi.com/2076-3417/11/16/7297curve ParetoLMImodel ship<i>H</i><sub>∞</sub><i>H</i><sub>2</sub> |
| spellingShingle | Monika Rybczak Kamil Podgórski Pareto Effect of LMI for Ship Propulsion Applied Sciences curve Pareto LMI model ship <i>H</i><sub>∞</sub> <i>H</i><sub>2</sub> |
| title | Pareto Effect of LMI for Ship Propulsion |
| title_full | Pareto Effect of LMI for Ship Propulsion |
| title_fullStr | Pareto Effect of LMI for Ship Propulsion |
| title_full_unstemmed | Pareto Effect of LMI for Ship Propulsion |
| title_short | Pareto Effect of LMI for Ship Propulsion |
| title_sort | pareto effect of lmi for ship propulsion |
| topic | curve Pareto LMI model ship <i>H</i><sub>∞</sub> <i>H</i><sub>2</sub> |
| url | https://www.mdpi.com/2076-3417/11/16/7297 |
| work_keys_str_mv | AT monikarybczak paretoeffectoflmiforshippropulsion AT kamilpodgorski paretoeffectoflmiforshippropulsion |