Distributed Fixed-Time Triggering-Based Containment Control for Networked Nonlinear Agents Under Directed Graphs

This paper discusses the distributed fixed-time containment control for networked nonlinear systems via the event/self-triggered approaches over directed graphs. A distributed event-triggered control protocol without continuous control updates is first proposed. In order to relieve the chattering ef...

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Bibliographic Details
Published inIEEE transactions on circuits and systems. I, Regular papers Vol. 67; no. 10; pp. 3541 - 3552
Main Authors Xu, Tao, Lv, Guannan, Duan, Zhisheng, Sun, Zhiyong, Yu, Junzhi
Format Journal Article
LanguageEnglish
Published New York IEEE 01.10.2020
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subjects
Computer simulation
Containment
Control theory
Convergence
Decentralized control
directed graphs
Distributed containment control
event-triggered control
fixed-time convergence
Frequency control
Graph theory
Graphs
Laplace equations
Monitoring
networked nonlinear systems
Nonlinear control
Nonlinear systems
Protocols
Topology
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Summary:This paper discusses the distributed fixed-time containment control for networked nonlinear systems via the event/self-triggered approaches over directed graphs. A distributed event-triggered control protocol without continuous control updates is first proposed. In order to relieve the chattering effect, a modified distributed event-triggered control law is developed. To further overcome the drawback of continuous state monitoring and reduce the communication frequency between neighboring agents, a distributed chattering-free self-triggered control strategy is accordingly designed. A favorable aspect of our work is that the unnecessary resource utilizations of computation, communication as well as control updates can be saved while sustaining the desired control properties and excluding the Zeno behavior. Another distinct feature of this paper lies in that the containment control objective is realized in fixed time and the estimate of settling time can be prescribed without dependence on initial states of networked agents. Finally, some simulation results are provided to illustrate the effectiveness of the theoretical control schemes.
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ISSN:1549-8328
1558-0806
DOI:10.1109/TCSI.2020.2991101