<i>H</i><sub>∞</sub> Observer Based on Descriptor Systems Applied to Estimate the State of Charge
This paper proposes an <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mi>H</mi><mo>∞</mo></msub></semantics></math></inline-formula> observer based on desc...
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| Format: | Article |
| Language: | English |
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MDPI AG
2022-03-01
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| Series: | Entropy |
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| Online Access: | https://www.mdpi.com/1099-4300/24/3/420 |
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| author | Shengya Meng Shihong Li Heng Chi Fanwei Meng Aiping Pang |
| author_facet | Shengya Meng Shihong Li Heng Chi Fanwei Meng Aiping Pang |
| author_sort | Shengya Meng |
| collection | DOAJ |
| description | This paper proposes an <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mi>H</mi><mo>∞</mo></msub></semantics></math></inline-formula> observer based on descriptor systems to estimate the state of charge (SOC). The battery’s open-current voltage is chosen as a generalized state variable, thereby avoiding the artificial derivative calculation of the algebraic equation for the SOC. Furthermore, the observer’s dynamic performance is saved. To decrease the impacts of the uncertain noise and parameter perturbations, nonlinear <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mi>H</mi><mo>∞</mo></msub></semantics></math></inline-formula> theory is implemented to design the observer. The sufficient conditions for the <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mi>H</mi><mo>∞</mo></msub></semantics></math></inline-formula> observer to guarantee the disturbance suppression performance index are given and proved by the Lyapunov stability theory. This paper systematically gives the design steps of battery SOC <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mi>H</mi><mo>∞</mo></msub></semantics></math></inline-formula> observers. The simulation results highlight the accuracy, transient performance, and robustness of the presented method. |
| first_indexed | 2024-03-09T13:43:02Z |
| format | Article |
| id | doaj.art-307f3ae0d6d64dcba16338ef14480433 |
| institution | Directory Open Access Journal |
| issn | 1099-4300 |
| language | English |
| last_indexed | 2024-03-09T13:43:02Z |
| publishDate | 2022-03-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Entropy |
| spelling | doaj.art-307f3ae0d6d64dcba16338ef144804332023-11-30T21:03:26ZengMDPI AGEntropy1099-43002022-03-0124342010.3390/e24030420<i>H</i><sub>∞</sub> Observer Based on Descriptor Systems Applied to Estimate the State of ChargeShengya Meng0Shihong Li1Heng Chi2Fanwei Meng3Aiping Pang4School of Control Engineering, Northeastern University at Qinhuangdao, Qinhuangdao 066004, ChinaSchool of Automation, Aviation University Air Force, Changchun 130000, ChinaSchool of Control Engineering, Northeastern University at Qinhuangdao, Qinhuangdao 066004, ChinaSchool of Control Engineering, Northeastern University at Qinhuangdao, Qinhuangdao 066004, ChinaCollege of Electrical Engineering, Guizhou University, Guiyang 550025, ChinaThis paper proposes an <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mi>H</mi><mo>∞</mo></msub></semantics></math></inline-formula> observer based on descriptor systems to estimate the state of charge (SOC). The battery’s open-current voltage is chosen as a generalized state variable, thereby avoiding the artificial derivative calculation of the algebraic equation for the SOC. Furthermore, the observer’s dynamic performance is saved. To decrease the impacts of the uncertain noise and parameter perturbations, nonlinear <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mi>H</mi><mo>∞</mo></msub></semantics></math></inline-formula> theory is implemented to design the observer. The sufficient conditions for the <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mi>H</mi><mo>∞</mo></msub></semantics></math></inline-formula> observer to guarantee the disturbance suppression performance index are given and proved by the Lyapunov stability theory. This paper systematically gives the design steps of battery SOC <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mi>H</mi><mo>∞</mo></msub></semantics></math></inline-formula> observers. The simulation results highlight the accuracy, transient performance, and robustness of the presented method.https://www.mdpi.com/1099-4300/24/3/420descriptor systemsSOC estimation<i>H</i><sub>∞</sub> observerdisturbance suppression performance |
| spellingShingle | Shengya Meng Shihong Li Heng Chi Fanwei Meng Aiping Pang <i>H</i><sub>∞</sub> Observer Based on Descriptor Systems Applied to Estimate the State of Charge Entropy descriptor systems SOC estimation <i>H</i><sub>∞</sub> observer disturbance suppression performance |
| title | <i>H</i><sub>∞</sub> Observer Based on Descriptor Systems Applied to Estimate the State of Charge |
| title_full | <i>H</i><sub>∞</sub> Observer Based on Descriptor Systems Applied to Estimate the State of Charge |
| title_fullStr | <i>H</i><sub>∞</sub> Observer Based on Descriptor Systems Applied to Estimate the State of Charge |
| title_full_unstemmed | <i>H</i><sub>∞</sub> Observer Based on Descriptor Systems Applied to Estimate the State of Charge |
| title_short | <i>H</i><sub>∞</sub> Observer Based on Descriptor Systems Applied to Estimate the State of Charge |
| title_sort | i h i sub ∞ sub observer based on descriptor systems applied to estimate the state of charge |
| topic | descriptor systems SOC estimation <i>H</i><sub>∞</sub> observer disturbance suppression performance |
| url | https://www.mdpi.com/1099-4300/24/3/420 |
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