Predefined Time Control of State-Constrained Multi-Agent Systems Based on Command Filtering
This paper resolves the predefined-time control problem for multi-agent systems under predefined performance metrics and state constraints, addressing critical limitations of traditional methods—notably their inability to enforce strict user-specified deadlines for mission-critical operations, coupl...
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| Format: | Article |
| Language: | English |
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MDPI AG
2025-06-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/13/13/2151 |
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| author | Jianhua Zhang Xuan Yu Quanmin Zhu Zhanyang Yu |
| author_facet | Jianhua Zhang Xuan Yu Quanmin Zhu Zhanyang Yu |
| author_sort | Jianhua Zhang |
| collection | DOAJ |
| description | This paper resolves the predefined-time control problem for multi-agent systems under predefined performance metrics and state constraints, addressing critical limitations of traditional methods—notably their inability to enforce strict user-specified deadlines for mission-critical operations, coupled with difficulties in simultaneously guaranteeing transient performance bounds and state constraints while suffering prohibitive stability proof complexity. To overcome these challenges, we propose a predefined performance control methodology that integrates Barrier Lyapunov Functions command-filtered backstepping. The framework rigorously ensures exact convergence within user-defined time independent of initial conditions while enforcing strict state constraints through time-varying BLF boundaries and further delivers quantifiable performance such as overshoot below 5% and convergence within 10 s. By eliminating high-order derivative continuity proofs via command-filter design, stability analysis complexity is reduced by 40% versus conventional backstepping. Stability proofs and dual-case simulations (UAV formation/smart grid) demonstrate over 95% tracking accuracy under disturbances and constraints, validating broad applicability in safety-critical multi-agent systems. |
| format | Article |
| id | doaj-art-a5fe3472deb443e986bd3397c7c2db71 |
| institution | Kabale University |
| issn | 2227-7390 |
| language | English |
| publishDate | 2025-06-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj-art-a5fe3472deb443e986bd3397c7c2db712025-08-20T03:50:16ZengMDPI AGMathematics2227-73902025-06-011313215110.3390/math13132151Predefined Time Control of State-Constrained Multi-Agent Systems Based on Command FilteringJianhua Zhang0Xuan Yu1Quanmin Zhu2Zhanyang Yu3School of Information and Control Engineering, Qingdao University of Technology, Qingdao 266525, ChinaSchool of Information and Control Engineering, Qingdao University of Technology, Qingdao 266525, ChinaSchool of Engineering, University of the West of England, Coldharbour Lane, Bristol BS16 1QY, UKSchool of Information and Control Engineering, Qingdao University of Technology, Qingdao 266525, ChinaThis paper resolves the predefined-time control problem for multi-agent systems under predefined performance metrics and state constraints, addressing critical limitations of traditional methods—notably their inability to enforce strict user-specified deadlines for mission-critical operations, coupled with difficulties in simultaneously guaranteeing transient performance bounds and state constraints while suffering prohibitive stability proof complexity. To overcome these challenges, we propose a predefined performance control methodology that integrates Barrier Lyapunov Functions command-filtered backstepping. The framework rigorously ensures exact convergence within user-defined time independent of initial conditions while enforcing strict state constraints through time-varying BLF boundaries and further delivers quantifiable performance such as overshoot below 5% and convergence within 10 s. By eliminating high-order derivative continuity proofs via command-filter design, stability analysis complexity is reduced by 40% versus conventional backstepping. Stability proofs and dual-case simulations (UAV formation/smart grid) demonstrate over 95% tracking accuracy under disturbances and constraints, validating broad applicability in safety-critical multi-agent systems.https://www.mdpi.com/2227-7390/13/13/2151command filterpredefined-time controlstate constraintsBarrier Lyapunov Function |
| spellingShingle | Jianhua Zhang Xuan Yu Quanmin Zhu Zhanyang Yu Predefined Time Control of State-Constrained Multi-Agent Systems Based on Command Filtering Mathematics command filter predefined-time control state constraints Barrier Lyapunov Function |
| title | Predefined Time Control of State-Constrained Multi-Agent Systems Based on Command Filtering |
| title_full | Predefined Time Control of State-Constrained Multi-Agent Systems Based on Command Filtering |
| title_fullStr | Predefined Time Control of State-Constrained Multi-Agent Systems Based on Command Filtering |
| title_full_unstemmed | Predefined Time Control of State-Constrained Multi-Agent Systems Based on Command Filtering |
| title_short | Predefined Time Control of State-Constrained Multi-Agent Systems Based on Command Filtering |
| title_sort | predefined time control of state constrained multi agent systems based on command filtering |
| topic | command filter predefined-time control state constraints Barrier Lyapunov Function |
| url | https://www.mdpi.com/2227-7390/13/13/2151 |
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