Fault-Tolerant Consensus Control of Positive Networked Systems
In this paper, we explore the consensus of positive networked systems with actuator faults. Firstly, the undirected and strongly connected topology is established with graph theory. The positive system theory is used to analyze the positive consensus of the closed-loop networked systems. State feedb...
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| Format: | Article |
| Language: | English |
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MDPI AG
2023-11-01
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| Series: | Electronics |
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| Online Access: | https://www.mdpi.com/2079-9292/12/23/4789 |
| _version_ | 1797400289199783936 |
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| author | Zhansheng He Jun Shen |
| author_facet | Zhansheng He Jun Shen |
| author_sort | Zhansheng He |
| collection | DOAJ |
| description | In this paper, we explore the consensus of positive networked systems with actuator faults. Firstly, the undirected and strongly connected topology is established with graph theory. The positive system theory is used to analyze the positive consensus of the closed-loop networked systems. State feedback gains are derived utilizing Algebraic Riccati Inequalities. Bounded multiplicative faults are regarded as uncertainties in the system matrix, while treating additive faults as external disturbances. Further, this transformation refocuses the analysis on the consensus problem with an <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mi>L</mi><mn>2</mn></msub></semantics></math></inline-formula>-gain. Subsequently, the Genetic Algorithm is employed to optimize the <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mi>L</mi><mn>2</mn></msub></semantics></math></inline-formula> performance criteria. Finally, the effectiveness of the proposed theory is validated through simulations involving both single-input electric circuit systems and multi-input networked systems. |
| first_indexed | 2024-03-09T01:53:25Z |
| format | Article |
| id | doaj.art-fcd880bf7bb44bda9ce16497007b15c8 |
| institution | Directory Open Access Journal |
| issn | 2079-9292 |
| language | English |
| last_indexed | 2024-03-09T01:53:25Z |
| publishDate | 2023-11-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Electronics |
| spelling | doaj.art-fcd880bf7bb44bda9ce16497007b15c82023-12-08T15:14:02ZengMDPI AGElectronics2079-92922023-11-011223478910.3390/electronics12234789Fault-Tolerant Consensus Control of Positive Networked SystemsZhansheng He0Jun Shen1College of Automation Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing 211106, ChinaCollege of Automation Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing 211106, ChinaIn this paper, we explore the consensus of positive networked systems with actuator faults. Firstly, the undirected and strongly connected topology is established with graph theory. The positive system theory is used to analyze the positive consensus of the closed-loop networked systems. State feedback gains are derived utilizing Algebraic Riccati Inequalities. Bounded multiplicative faults are regarded as uncertainties in the system matrix, while treating additive faults as external disturbances. Further, this transformation refocuses the analysis on the consensus problem with an <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mi>L</mi><mn>2</mn></msub></semantics></math></inline-formula>-gain. Subsequently, the Genetic Algorithm is employed to optimize the <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mi>L</mi><mn>2</mn></msub></semantics></math></inline-formula> performance criteria. Finally, the effectiveness of the proposed theory is validated through simulations involving both single-input electric circuit systems and multi-input networked systems.https://www.mdpi.com/2079-9292/12/23/4789positive networked systemactuator faultgraph theory<i>L</i><sub>2</sub>-gaingenetic algorithm |
| spellingShingle | Zhansheng He Jun Shen Fault-Tolerant Consensus Control of Positive Networked Systems Electronics positive networked system actuator fault graph theory <i>L</i><sub>2</sub>-gain genetic algorithm |
| title | Fault-Tolerant Consensus Control of Positive Networked Systems |
| title_full | Fault-Tolerant Consensus Control of Positive Networked Systems |
| title_fullStr | Fault-Tolerant Consensus Control of Positive Networked Systems |
| title_full_unstemmed | Fault-Tolerant Consensus Control of Positive Networked Systems |
| title_short | Fault-Tolerant Consensus Control of Positive Networked Systems |
| title_sort | fault tolerant consensus control of positive networked systems |
| topic | positive networked system actuator fault graph theory <i>L</i><sub>2</sub>-gain genetic algorithm |
| url | https://www.mdpi.com/2079-9292/12/23/4789 |
| work_keys_str_mv | AT zhanshenghe faulttolerantconsensuscontrolofpositivenetworkedsystems AT junshen faulttolerantconsensuscontrolofpositivenetworkedsystems |