Fixed-Time-Synchronized Consensus Control of Multiagent Systems
In this article, a unique multiagent control problem is defined-all the elements of all the agent states reaching consensus at the same time, i.e., the multiagent system achieves time-synchronized consensus and fixed-time-synchronized consensus, where the upper bound of the synchronized settling tim...
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| Veröffentlicht in: | IEEE transactions on control of network systems 2021-03, Vol.8 (1), p.89-98 |
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| creator | Li, Dongyu Ge, Shuzhi Sam Lee, Tong Heng |
| description | In this article, a unique multiagent control problem is defined-all the elements of all the agent states reaching consensus at the same time, i.e., the multiagent system achieves time-synchronized consensus and fixed-time-synchronized consensus, where the upper bound of the synchronized settling time is independent of the initial states of multiagent systems. To articulate this (fixed-) time-synchronized consensus problem, we first propose time-synchronized stability and fixed-time-synchronized stability, a special kind of fixed/finite-time stability, where all the elements of the system state synchronously arrive at the equilibrium at the same time, with the upper bound of the synchronized settling time dependent/independent of initial conditions. Based on fixed-time-synchronized stability, a singularity-free sliding mode control law is designed to solve the fixed-time-synchronized consensus problem. Finally, numerical simulations are conducted to showcase the effectiveness, and further exploration of the merit of the proposed controller is provided. |
| doi_str_mv | 10.1109/TCNS.2020.3034523 |
| format | Article |
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To articulate this (fixed-) time-synchronized consensus problem, we first propose time-synchronized stability and fixed-time-synchronized stability, a special kind of fixed/finite-time stability, where all the elements of the system state synchronously arrive at the equilibrium at the same time, with the upper bound of the synchronized settling time dependent/independent of initial conditions. Based on fixed-time-synchronized stability, a singularity-free sliding mode control law is designed to solve the fixed-time-synchronized consensus problem. 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To articulate this (fixed-) time-synchronized consensus problem, we first propose time-synchronized stability and fixed-time-synchronized stability, a special kind of fixed/finite-time stability, where all the elements of the system state synchronously arrive at the equilibrium at the same time, with the upper bound of the synchronized settling time dependent/independent of initial conditions. Based on fixed-time-synchronized stability, a singularity-free sliding mode control law is designed to solve the fixed-time-synchronized consensus problem. Finally, numerical simulations are conducted to showcase the effectiveness, and further exploration of the merit of the proposed controller is provided.</description><subject>Control stability</subject><subject>Control theory</subject><subject>Fixed-time-synchronized consensus</subject><subject>Initial conditions</subject><subject>Multi-agent systems</subject><subject>Multiagent systems</subject><subject>Numerical stability</subject><subject>Settling</subject><subject>Sliding mode control</subject><subject>Stability criteria</subject><subject>Synchronization</subject><subject>Time dependence</subject><subject>Time synchronization</subject><subject>Upper bounds</subject><issn>2325-5870</issn><issn>2325-5870</issn><issn>2372-2533</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2021</creationdate><recordtype>article</recordtype><sourceid>RIE</sourceid><recordid>eNpNkE1Lw0AQhhdRsNT-APES8Jy6s7ObdE8iwS-oemg9L9tkVlPabN1NwPrrTWgRT_MOPO8MPIxdAp8CcH2zLF4XU8EFnyJHqQSesJFAoVI1y_npv3zOJjGuOecgVL_jiN0-1N9Upct6S-li35SfwTf1D1VJ4ZtITezikNrgN4l3yUu3aWv7QU2bLPaxpW28YGfObiJNjnPM3h_ul8VTOn97fC7u5mmJEtrUaQBJJDXIXAFVfLUiZzXmmZQkMSvB6TJHnvFKC6VzqV1lwTqOWIJdZThm14e7u-C_OoqtWfsuNP1LI6SeZTkCqp6CA1UGH2MgZ3ah3tqwN8DNoMoMqsygyhxV9Z2rQ6cmoj9eCylEJvEXD3Zj4g</recordid><startdate>20210301</startdate><enddate>20210301</enddate><creator>Li, Dongyu</creator><creator>Ge, Shuzhi Sam</creator><creator>Lee, Tong Heng</creator><general>IEEE</general><general>The Institute of Electrical and Electronics Engineers, Inc. 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To articulate this (fixed-) time-synchronized consensus problem, we first propose time-synchronized stability and fixed-time-synchronized stability, a special kind of fixed/finite-time stability, where all the elements of the system state synchronously arrive at the equilibrium at the same time, with the upper bound of the synchronized settling time dependent/independent of initial conditions. Based on fixed-time-synchronized stability, a singularity-free sliding mode control law is designed to solve the fixed-time-synchronized consensus problem. Finally, numerical simulations are conducted to showcase the effectiveness, and further exploration of the merit of the proposed controller is provided.</abstract><cop>Piscataway</cop><pub>IEEE</pub><doi>10.1109/TCNS.2020.3034523</doi><tpages>10</tpages><orcidid>https://orcid.org/0000-0002-2785-516X</orcidid><orcidid>https://orcid.org/0000-0001-8338-0536</orcidid><orcidid>https://orcid.org/0000-0001-5549-312X</orcidid></addata></record> |
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| subjects | Control stability Control theory Fixed-time-synchronized consensus Initial conditions Multi-agent systems Multiagent systems Numerical stability Settling Sliding mode control Stability criteria Synchronization Time dependence Time synchronization Upper bounds |
| title | Fixed-Time-Synchronized Consensus Control of Multiagent Systems |
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