Stochastic Robust H<sub>∞</sub> Decentralized Network Formation Tracking Control of Large-Scale Team Satellites via Event-Triggered Mechanism
The team formation of large-scale satellites for communication services of future smart cities in the 5G and 6G era is an important research topic currently. In this study, a robust <inline-formula> <tex-math notation="LaTeX">$H_{\infty }$ </tex-math></inline-formula&g...
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IEEE
2022-01-01
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| Series: | IEEE Access |
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| Online Access: | https://ieeexplore.ieee.org/document/9787545/ |
| _version_ | 1818238054151749632 |
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| author | Bor-Sen Chen Ying-Shuo Ma Min-Yen Lee |
| author_facet | Bor-Sen Chen Ying-Shuo Ma Min-Yen Lee |
| author_sort | Bor-Sen Chen |
| collection | DOAJ |
| description | The team formation of large-scale satellites for communication services of future smart cities in the 5G and 6G era is an important research topic currently. In this study, a robust <inline-formula> <tex-math notation="LaTeX">$H_{\infty }$ </tex-math></inline-formula> tracking control with an event-triggered mechanism is proposed for the formation of large-scale satellites for communication tasks. At first, a satellite in the team formation is described by a nonlinear stochastic system with intrinsic random fluctuation, external disturbance, and coupling from other satellites. The proposed team formation tracking control for each satellite needs to consider the effect of network-induced delay and packet-dropout as well as save communication resources via an event-triggered mechanism. Further, the desired team formation of large-scale satellites can be prescribed by a set of reference models with the desired formation shape embedded in their reference inputs. Therefore, the large-scale team formation design problem can be simplified as an independent <inline-formula> <tex-math notation="LaTeX">$H_{\infty }$ </tex-math></inline-formula> network model reference tracking control design problem for each satellite to efficiently attenuate the worst-effect of external disturbance, coupling of other satellites, intrinsic random fluctuation, network-induced delay, and packet-dropout on the model reference tracking performance. In order to avoid solving a nonlinear partial differential Hamillion-Jacobin inequality(HJI) for the <inline-formula> <tex-math notation="LaTeX">$H_{\infty }$ </tex-math></inline-formula> decentralized network formation control for each satellite in the team the formation, the T-S fuzzy model is employed to interpolate several local linearized systems to approximate nonlinear satellite systems. Then the HJI in the <inline-formula> <tex-math notation="LaTeX">$H_{\infty }$ </tex-math></inline-formula> decentralized network team formation design problem can be transformed into a set of linear matrix inequalities (LMIs) which can be easily solved by LMI TOOLBOX in MATLAB. Finally, a simulation example of team formation composed of ten satellites is given to illustrate the design procedure and to validate the proposed method in comparison with other methods. |
| first_indexed | 2024-12-12T12:35:33Z |
| format | Article |
| id | doaj.art-770c908046eb4bb685d879613f787d50 |
| institution | Directory Open Access Journal |
| issn | 2169-3536 |
| language | English |
| last_indexed | 2024-12-12T12:35:33Z |
| publishDate | 2022-01-01 |
| publisher | IEEE |
| record_format | Article |
| series | IEEE Access |
| spelling | doaj.art-770c908046eb4bb685d879613f787d502022-12-22T00:24:20ZengIEEEIEEE Access2169-35362022-01-0110620116203610.1109/ACCESS.2022.31801669787545Stochastic Robust H<sub>∞</sub> Decentralized Network Formation Tracking Control of Large-Scale Team Satellites via Event-Triggered MechanismBor-Sen Chen0https://orcid.org/0000-0003-1644-6106Ying-Shuo Ma1https://orcid.org/0000-0001-8518-1215Min-Yen Lee2https://orcid.org/0000-0002-0391-257XDepartment of Electrical Engineering, National Tsing Hua University, Hsinchu, TaiwanDepartment of Electrical Engineering, National Tsing Hua University, Hsinchu, TaiwanDepartment of Electrical Engineering, National Tsing Hua University, Hsinchu, TaiwanThe team formation of large-scale satellites for communication services of future smart cities in the 5G and 6G era is an important research topic currently. In this study, a robust <inline-formula> <tex-math notation="LaTeX">$H_{\infty }$ </tex-math></inline-formula> tracking control with an event-triggered mechanism is proposed for the formation of large-scale satellites for communication tasks. At first, a satellite in the team formation is described by a nonlinear stochastic system with intrinsic random fluctuation, external disturbance, and coupling from other satellites. The proposed team formation tracking control for each satellite needs to consider the effect of network-induced delay and packet-dropout as well as save communication resources via an event-triggered mechanism. Further, the desired team formation of large-scale satellites can be prescribed by a set of reference models with the desired formation shape embedded in their reference inputs. Therefore, the large-scale team formation design problem can be simplified as an independent <inline-formula> <tex-math notation="LaTeX">$H_{\infty }$ </tex-math></inline-formula> network model reference tracking control design problem for each satellite to efficiently attenuate the worst-effect of external disturbance, coupling of other satellites, intrinsic random fluctuation, network-induced delay, and packet-dropout on the model reference tracking performance. In order to avoid solving a nonlinear partial differential Hamillion-Jacobin inequality(HJI) for the <inline-formula> <tex-math notation="LaTeX">$H_{\infty }$ </tex-math></inline-formula> decentralized network formation control for each satellite in the team the formation, the T-S fuzzy model is employed to interpolate several local linearized systems to approximate nonlinear satellite systems. Then the HJI in the <inline-formula> <tex-math notation="LaTeX">$H_{\infty }$ </tex-math></inline-formula> decentralized network team formation design problem can be transformed into a set of linear matrix inequalities (LMIs) which can be easily solved by LMI TOOLBOX in MATLAB. Finally, a simulation example of team formation composed of ten satellites is given to illustrate the design procedure and to validate the proposed method in comparison with other methods.https://ieeexplore.ieee.org/document/9787545/Network control systemlinear matrix inequalitiesreference tracking controlT-S fuzzy interpolation technique |
| spellingShingle | Bor-Sen Chen Ying-Shuo Ma Min-Yen Lee Stochastic Robust H<sub>∞</sub> Decentralized Network Formation Tracking Control of Large-Scale Team Satellites via Event-Triggered Mechanism IEEE Access Network control system linear matrix inequalities reference tracking control T-S fuzzy interpolation technique |
| title | Stochastic Robust H<sub>∞</sub> Decentralized Network Formation Tracking Control of Large-Scale Team Satellites via Event-Triggered Mechanism |
| title_full | Stochastic Robust H<sub>∞</sub> Decentralized Network Formation Tracking Control of Large-Scale Team Satellites via Event-Triggered Mechanism |
| title_fullStr | Stochastic Robust H<sub>∞</sub> Decentralized Network Formation Tracking Control of Large-Scale Team Satellites via Event-Triggered Mechanism |
| title_full_unstemmed | Stochastic Robust H<sub>∞</sub> Decentralized Network Formation Tracking Control of Large-Scale Team Satellites via Event-Triggered Mechanism |
| title_short | Stochastic Robust H<sub>∞</sub> Decentralized Network Formation Tracking Control of Large-Scale Team Satellites via Event-Triggered Mechanism |
| title_sort | stochastic robust h sub x221e sub decentralized network formation tracking control of large scale team satellites via event triggered mechanism |
| topic | Network control system linear matrix inequalities reference tracking control T-S fuzzy interpolation technique |
| url | https://ieeexplore.ieee.org/document/9787545/ |
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