Zero-Sum-Game-Based Fixed-Time Event-Triggered Optimal Consensus Control of Multi-Agent Systems Under FDI Attacks
This paper concentrates on the fixed-time optimal consensus issue of multi-agent systems (MASs) under false data injection (FDI) attacks. To mitigate FDI attacks on sensors and actuators that may cause systems to deviate from the reference trajectory, a zero-sum game framework is established, where...
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MDPI AG
2025-02-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/13/3/543 |
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| author | Jing Yang Ruihong Li Qintao Gan Xinxin Huang |
| author_facet | Jing Yang Ruihong Li Qintao Gan Xinxin Huang |
| author_sort | Jing Yang |
| collection | DOAJ |
| description | This paper concentrates on the fixed-time optimal consensus issue of multi-agent systems (MASs) under false data injection (FDI) attacks. To mitigate FDI attacks on sensors and actuators that may cause systems to deviate from the reference trajectory, a zero-sum game framework is established, where the secure control protocol aims at the better system performance, yet the attacker plays a contrary role. By solving the Hamilton–Jacobi–Isaacs (HJI) equation related to the zero-sum game, an optimal secure tracking controller based on the event-triggered mechanism (ETM) is obtained to decrease the consumption of system resources while the fixed-time consensus can be guaranteed. Moreover, a critic-only online reinforcement learning (RL) algorithm is proposed to approximate the optimal policy, in which the critic neural networks are constructed by the experience replay-based approach. The unmanned aerial vehicle (UAV) systems are adopted to verify the feasibility of the presented approach. |
| format | Article |
| id | doaj-art-049c5a60bb314cffb41ee7f0df29cf04 |
| institution | OA Journals |
| issn | 2227-7390 |
| language | English |
| publishDate | 2025-02-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj-art-049c5a60bb314cffb41ee7f0df29cf042025-08-20T02:12:28ZengMDPI AGMathematics2227-73902025-02-0113354310.3390/math13030543Zero-Sum-Game-Based Fixed-Time Event-Triggered Optimal Consensus Control of Multi-Agent Systems Under FDI AttacksJing Yang0Ruihong Li1Qintao Gan2Xinxin Huang3Shijiazhuang Campus, Army Engineering University of PLA, Shijiazhuang 050003, ChinaShijiazhuang Campus, Army Engineering University of PLA, Shijiazhuang 050003, ChinaShijiazhuang Campus, Army Engineering University of PLA, Shijiazhuang 050003, ChinaShijiazhuang Campus, Army Engineering University of PLA, Shijiazhuang 050003, ChinaThis paper concentrates on the fixed-time optimal consensus issue of multi-agent systems (MASs) under false data injection (FDI) attacks. To mitigate FDI attacks on sensors and actuators that may cause systems to deviate from the reference trajectory, a zero-sum game framework is established, where the secure control protocol aims at the better system performance, yet the attacker plays a contrary role. By solving the Hamilton–Jacobi–Isaacs (HJI) equation related to the zero-sum game, an optimal secure tracking controller based on the event-triggered mechanism (ETM) is obtained to decrease the consumption of system resources while the fixed-time consensus can be guaranteed. Moreover, a critic-only online reinforcement learning (RL) algorithm is proposed to approximate the optimal policy, in which the critic neural networks are constructed by the experience replay-based approach. The unmanned aerial vehicle (UAV) systems are adopted to verify the feasibility of the presented approach.https://www.mdpi.com/2227-7390/13/3/543multi-agent systemsFDI attackszero-sum gamefixed-time optimal consensus |
| spellingShingle | Jing Yang Ruihong Li Qintao Gan Xinxin Huang Zero-Sum-Game-Based Fixed-Time Event-Triggered Optimal Consensus Control of Multi-Agent Systems Under FDI Attacks Mathematics multi-agent systems FDI attacks zero-sum game fixed-time optimal consensus |
| title | Zero-Sum-Game-Based Fixed-Time Event-Triggered Optimal Consensus Control of Multi-Agent Systems Under FDI Attacks |
| title_full | Zero-Sum-Game-Based Fixed-Time Event-Triggered Optimal Consensus Control of Multi-Agent Systems Under FDI Attacks |
| title_fullStr | Zero-Sum-Game-Based Fixed-Time Event-Triggered Optimal Consensus Control of Multi-Agent Systems Under FDI Attacks |
| title_full_unstemmed | Zero-Sum-Game-Based Fixed-Time Event-Triggered Optimal Consensus Control of Multi-Agent Systems Under FDI Attacks |
| title_short | Zero-Sum-Game-Based Fixed-Time Event-Triggered Optimal Consensus Control of Multi-Agent Systems Under FDI Attacks |
| title_sort | zero sum game based fixed time event triggered optimal consensus control of multi agent systems under fdi attacks |
| topic | multi-agent systems FDI attacks zero-sum game fixed-time optimal consensus |
| url | https://www.mdpi.com/2227-7390/13/3/543 |
| work_keys_str_mv | AT jingyang zerosumgamebasedfixedtimeeventtriggeredoptimalconsensuscontrolofmultiagentsystemsunderfdiattacks AT ruihongli zerosumgamebasedfixedtimeeventtriggeredoptimalconsensuscontrolofmultiagentsystemsunderfdiattacks AT qintaogan zerosumgamebasedfixedtimeeventtriggeredoptimalconsensuscontrolofmultiagentsystemsunderfdiattacks AT xinxinhuang zerosumgamebasedfixedtimeeventtriggeredoptimalconsensuscontrolofmultiagentsystemsunderfdiattacks |