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Event-Triggered Adaptive Neural Control for Multiagent Systems with Deferred State Constraints

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Abstract

This paper focuses on the leader-following consensus control problem for nonlinear multiagent systems subject to deferred asymmetric time-varying state constraints. A distributed event-triggered adaptive neural control approach is advanced. By virtue of a distributed sliding-mode estimator, the leader-following consensus control problem is converted into multiple simplified tracking control problems. Afterwards, a shifting function is utilized to transform the error variables such that the initial tracking condition can be totally unknown and the state constraints can be imposed at a specified time instant. Meanwhile, the deferred asymmetric time-varying full state constraints are addressed by a class of asymmetric barrier Lyapunov function. In order to reduce the burden of communication, a relative threshold event-triggered mechanism is incorporated into controller and Zeno behavior is excluded. Based on Lyapunov stability theorem, all closed-loop signals are proved to be semi-globally uniformly ultimately bounded. Finally, a practical simulation example is given to verify the presented control scheme.

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Authors and Affiliations

  1. School of Automation and Guangdong Province Key Laboratory of Intelligent Decision and Cooperative Control, Guangdong University of Technology, Guangzhou, 510006, China

    Bin Yang, Liang Cao, Wenbin Xiao, Deyin Yao & Renquan Lu

Authors
  1. Bin Yang
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  2. Liang Cao
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  3. Wenbin Xiao
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  4. Deyin Yao
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  5. Renquan Lu
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Corresponding author

Correspondence to Liang Cao.

Additional information

This work was partially supported by the China Postdoctoral Science Foundation under Grant Nos. 2019M662813, 2020M682614 and 2020T130124, the Guangdong Basic and Applied Basic Research Foundation under Grant No. 2020A1515110974, the Local Innovative and Research Teams Project of Guangdong Special Support Program under Grant No. 2019BT02X353, the Innovative Research Team Program of Guangdong Province Science Foundation under Grant No. 2018B030312006, and the Science and Technology Program of Guangzhou under Grant No. 201904020006.

This paper was recommended for publication by Editor WU Zhengguang.

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Yang, B., Cao, L., Xiao, W. et al. Event-Triggered Adaptive Neural Control for Multiagent Systems with Deferred State Constraints. J Syst Sci Complex 35, 973–992 (2022). https://doi.org/10.1007/s11424-021-0201-6

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  • DOI: https://doi.org/10.1007/s11424-021-0201-6

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