Scaled p‐norm and its application in fast time‐synchronized control
Abstract The definition of scaled p‐norm and its properties are given here. Compared with the norm‐normalized sign function, using scaled p‐norm in the controller design can not only achieve the time‐synchronized stability of non‐linear dynamic systems, but also improve the convergence rate of the s...
| Main Authors: | , , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2023-11-01
|
| Series: | IET Control Theory & Applications |
| Subjects: | |
| Online Access: | https://doi.org/10.1049/cth2.12529 |
| _version_ | 1827777136643014656 |
|---|---|
| author | Shaocong Wang Chuxiong Su Jing Chang Hao Dai Jing Li |
| author_facet | Shaocong Wang Chuxiong Su Jing Chang Hao Dai Jing Li |
| author_sort | Shaocong Wang |
| collection | DOAJ |
| description | Abstract The definition of scaled p‐norm and its properties are given here. Compared with the norm‐normalized sign function, using scaled p‐norm in the controller design can not only achieve the time‐synchronized stability of non‐linear dynamic systems, but also improve the convergence rate of the system. Besides, the scaled p‐norm is applied to design the consensus protocol for multi‐agent systems, which enables the states of all agents to achieve fast time‐synchronized consensus. The simulation results demonstrate the superiority of this method in improving the convergence rate of the system. |
| first_indexed | 2024-03-11T14:14:26Z |
| format | Article |
| id | doaj.art-a44f77b344704d1bbcb368474753cd7d |
| institution | Directory Open Access Journal |
| issn | 1751-8644 1751-8652 |
| language | English |
| last_indexed | 2024-03-11T14:14:26Z |
| publishDate | 2023-11-01 |
| publisher | Wiley |
| record_format | Article |
| series | IET Control Theory & Applications |
| spelling | doaj.art-a44f77b344704d1bbcb368474753cd7d2023-11-01T10:38:57ZengWileyIET Control Theory & Applications1751-86441751-86522023-11-0117162215222610.1049/cth2.12529Scaled p‐norm and its application in fast time‐synchronized controlShaocong Wang0Chuxiong Su1Jing Chang2Hao Dai3Jing Li4School of Aerospace Science and Technology Xidian University Shaanxi ChinaSchool of Aerospace Science and Technology Xidian University Shaanxi ChinaSchool of Aerospace Science and Technology Xidian University Shaanxi ChinaSchool of Aerospace Science and Technology Xidian University Shaanxi ChinaSchool of Mathematics and Statistics Xidian University Shaanxi ChinaAbstract The definition of scaled p‐norm and its properties are given here. Compared with the norm‐normalized sign function, using scaled p‐norm in the controller design can not only achieve the time‐synchronized stability of non‐linear dynamic systems, but also improve the convergence rate of the system. Besides, the scaled p‐norm is applied to design the consensus protocol for multi‐agent systems, which enables the states of all agents to achieve fast time‐synchronized consensus. The simulation results demonstrate the superiority of this method in improving the convergence rate of the system.https://doi.org/10.1049/cth2.12529angular velocity controlcontinuous time systemsdistributed controlelectric vehiclesnon‐linear control systemssynchronisation |
| spellingShingle | Shaocong Wang Chuxiong Su Jing Chang Hao Dai Jing Li Scaled p‐norm and its application in fast time‐synchronized control IET Control Theory & Applications angular velocity control continuous time systems distributed control electric vehicles non‐linear control systems synchronisation |
| title | Scaled p‐norm and its application in fast time‐synchronized control |
| title_full | Scaled p‐norm and its application in fast time‐synchronized control |
| title_fullStr | Scaled p‐norm and its application in fast time‐synchronized control |
| title_full_unstemmed | Scaled p‐norm and its application in fast time‐synchronized control |
| title_short | Scaled p‐norm and its application in fast time‐synchronized control |
| title_sort | scaled p norm and its application in fast time synchronized control |
| topic | angular velocity control continuous time systems distributed control electric vehicles non‐linear control systems synchronisation |
| url | https://doi.org/10.1049/cth2.12529 |
| work_keys_str_mv | AT shaocongwang scaledpnormanditsapplicationinfasttimesynchronizedcontrol AT chuxiongsu scaledpnormanditsapplicationinfasttimesynchronizedcontrol AT jingchang scaledpnormanditsapplicationinfasttimesynchronizedcontrol AT haodai scaledpnormanditsapplicationinfasttimesynchronizedcontrol AT jingli scaledpnormanditsapplicationinfasttimesynchronizedcontrol |