T-S fuzzy observer-based adaptive tracking control for biological system with stage structure
In this paper, the T-S fuzzy observer-based adaptive tracking control of the biological system with stage structure is studied. First, a biological model with stage structure is established, and its stability at the equilibrium points is analyzed. Considering the impact of reducing human activities...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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AIMS Press
2022-07-01
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| Series: | Mathematical Biosciences and Engineering |
| Subjects: | |
| Online Access: | https://www.aimspress.com/article/doi/10.3934/mbe.2022451?viewType=HTML |
| _version_ | 1818471561097641984 |
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| author | Yi Zhang Yue Song Song Yang |
| author_facet | Yi Zhang Yue Song Song Yang |
| author_sort | Yi Zhang |
| collection | DOAJ |
| description | In this paper, the T-S fuzzy observer-based adaptive tracking control of the biological system with stage structure is studied. First, a biological model with stage structure is established, and its stability at the equilibrium points is analyzed. Considering the impact of reducing human activities on the biological population, an adaptive controller is applied to the system. Since it is difficult to measure density directly, a fuzzy state observer is designed, which is used to estimate the density of biological population. At the same time, the density of predators can track the desired density through the adjustment of adaptive controller. The stability of the biological system is guaranteed, and the observer error and tracking error are shown to converge to zero. Finally, the effectiveness of the proposed adaptive control method is verified by numerical simulation. |
| first_indexed | 2024-04-14T03:52:54Z |
| format | Article |
| id | doaj.art-c8b3584c471d4b8c8b91681cfd64f08c |
| institution | Directory Open Access Journal |
| issn | 1551-0018 |
| language | English |
| last_indexed | 2024-04-14T03:52:54Z |
| publishDate | 2022-07-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | Mathematical Biosciences and Engineering |
| spelling | doaj.art-c8b3584c471d4b8c8b91681cfd64f08c2022-12-22T02:13:58ZengAIMS PressMathematical Biosciences and Engineering1551-00182022-07-0119109709972910.3934/mbe.2022451T-S fuzzy observer-based adaptive tracking control for biological system with stage structureYi Zhang0Yue Song1Song Yang21. School of Science, Shenyang University of Technology, Shenyang 110870, China1. School of Science, Shenyang University of Technology, Shenyang 110870, China2. Station for Drug and Instrument Control of Shenyang Joint Logistics Support Center, Shenyang 110026, ChinaIn this paper, the T-S fuzzy observer-based adaptive tracking control of the biological system with stage structure is studied. First, a biological model with stage structure is established, and its stability at the equilibrium points is analyzed. Considering the impact of reducing human activities on the biological population, an adaptive controller is applied to the system. Since it is difficult to measure density directly, a fuzzy state observer is designed, which is used to estimate the density of biological population. At the same time, the density of predators can track the desired density through the adjustment of adaptive controller. The stability of the biological system is guaranteed, and the observer error and tracking error are shown to converge to zero. Finally, the effectiveness of the proposed adaptive control method is verified by numerical simulation.https://www.aimspress.com/article/doi/10.3934/mbe.2022451?viewType=HTMLstage structureadaptive controltracking controlt-s fuzzyfuzzy state observerbiological system |
| spellingShingle | Yi Zhang Yue Song Song Yang T-S fuzzy observer-based adaptive tracking control for biological system with stage structure Mathematical Biosciences and Engineering stage structure adaptive control tracking control t-s fuzzy fuzzy state observer biological system |
| title | T-S fuzzy observer-based adaptive tracking control for biological system with stage structure |
| title_full | T-S fuzzy observer-based adaptive tracking control for biological system with stage structure |
| title_fullStr | T-S fuzzy observer-based adaptive tracking control for biological system with stage structure |
| title_full_unstemmed | T-S fuzzy observer-based adaptive tracking control for biological system with stage structure |
| title_short | T-S fuzzy observer-based adaptive tracking control for biological system with stage structure |
| title_sort | t s fuzzy observer based adaptive tracking control for biological system with stage structure |
| topic | stage structure adaptive control tracking control t-s fuzzy fuzzy state observer biological system |
| url | https://www.aimspress.com/article/doi/10.3934/mbe.2022451?viewType=HTML |
| work_keys_str_mv | AT yizhang tsfuzzyobserverbasedadaptivetrackingcontrolforbiologicalsystemwithstagestructure AT yuesong tsfuzzyobserverbasedadaptivetrackingcontrolforbiologicalsystemwithstagestructure AT songyang tsfuzzyobserverbasedadaptivetrackingcontrolforbiologicalsystemwithstagestructure |