Regional consensus of switched positive multi-agent systems with multiple equilibria
Abstract This paper investigates regional proportional-integral-derivative consensus of switched positive multi-agent systems with multiple equilibria. A distributed proportional-integral-derivative control protocol is developed by integrating the communication protocol, agent state, and consensus e...
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| Format: | Article |
| Language: | English |
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Nature Portfolio
2025-01-01
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| Series: | Scientific Reports |
| Online Access: | https://doi.org/10.1038/s41598-025-86296-1 |
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| author | Junfeng Zhang Pei Zhang Tarek Raïssi Bhatti Uzair Aslam |
| author_facet | Junfeng Zhang Pei Zhang Tarek Raïssi Bhatti Uzair Aslam |
| author_sort | Junfeng Zhang |
| collection | DOAJ |
| description | Abstract This paper investigates regional proportional-integral-derivative consensus of switched positive multi-agent systems with multiple equilibria. A distributed proportional-integral-derivative control protocol is developed by integrating the communication protocol, agent state, and consensus error. A novel switched positive consensus error system is established and analyzed using copositive Lyapunov functions. Subsequently, a Luenberger observer with multiple equilibria is constructed to facilitate the design of an observer-based distributed proportional-integral-derivative control protocol. The regional consensus protocol is designed in the form of linear programming. By employing the proposed protocol, all states of agents are nonnegative and driven into a specific region. The main contributions of the work are summarized as: (i) Construction of a regional proportional-integral-derivative consensus protocol framework for switched positive multi-agent systems with multiple equilibria, (ii) Proposal of an observer-based distributed proportional-integral-derivative control strategy, and (iii) Analysis of the consensus using a matrix decomposition technique, copositive Lyapunov functions, and linear programming. Finally, numerical examples are provided to illustrate the effectiveness of the obtained results. |
| format | Article |
| id | doaj-art-80a88142a9654c9a936a9742b3dcd145 |
| institution | Kabale University |
| issn | 2045-2322 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | Nature Portfolio |
| record_format | Article |
| series | Scientific Reports |
| spelling | doaj-art-80a88142a9654c9a936a9742b3dcd1452025-01-19T12:22:35ZengNature PortfolioScientific Reports2045-23222025-01-0115112110.1038/s41598-025-86296-1Regional consensus of switched positive multi-agent systems with multiple equilibriaJunfeng Zhang0Pei Zhang1Tarek Raïssi2Bhatti Uzair Aslam3School of Information and Communication Engineering, Hainan UniversitySchool of Information and Communication Engineering, Hainan UniversityCedric-Lab, Conservatoire National des Arts et MetiersSchool of Information and Communication Engineering, Hainan UniversityAbstract This paper investigates regional proportional-integral-derivative consensus of switched positive multi-agent systems with multiple equilibria. A distributed proportional-integral-derivative control protocol is developed by integrating the communication protocol, agent state, and consensus error. A novel switched positive consensus error system is established and analyzed using copositive Lyapunov functions. Subsequently, a Luenberger observer with multiple equilibria is constructed to facilitate the design of an observer-based distributed proportional-integral-derivative control protocol. The regional consensus protocol is designed in the form of linear programming. By employing the proposed protocol, all states of agents are nonnegative and driven into a specific region. The main contributions of the work are summarized as: (i) Construction of a regional proportional-integral-derivative consensus protocol framework for switched positive multi-agent systems with multiple equilibria, (ii) Proposal of an observer-based distributed proportional-integral-derivative control strategy, and (iii) Analysis of the consensus using a matrix decomposition technique, copositive Lyapunov functions, and linear programming. Finally, numerical examples are provided to illustrate the effectiveness of the obtained results.https://doi.org/10.1038/s41598-025-86296-1 |
| spellingShingle | Junfeng Zhang Pei Zhang Tarek Raïssi Bhatti Uzair Aslam Regional consensus of switched positive multi-agent systems with multiple equilibria Scientific Reports |
| title | Regional consensus of switched positive multi-agent systems with multiple equilibria |
| title_full | Regional consensus of switched positive multi-agent systems with multiple equilibria |
| title_fullStr | Regional consensus of switched positive multi-agent systems with multiple equilibria |
| title_full_unstemmed | Regional consensus of switched positive multi-agent systems with multiple equilibria |
| title_short | Regional consensus of switched positive multi-agent systems with multiple equilibria |
| title_sort | regional consensus of switched positive multi agent systems with multiple equilibria |
| url | https://doi.org/10.1038/s41598-025-86296-1 |
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