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Adaptive Event-triggered Control for Stochastic Nonlinear Multi-agent Systems with Unknown Control Directions

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Abstract

This paper focuses on the adaptive event-triggered consensus control problem for a class of stochastic nonlinear multi-agent systems with unknown nonlinear control directions and external disturbances. The heterogeneous nonlinear dynamics and non-identical unknown control directions are discussed for different agents. The application of the event-triggered mechanism can effectively decrease the update frequency of the controller, and unknown nonlinear dynamics are solved by using fuzzy logic systems. Under the action of the designed distributed controller, all signals of this stochastic multi-agent systems can reach semi-globally uniformly ultimately bounded (SGUUB) in mean square. Furthermore, Zeno behavior can be ruled out by the existence of positive inter-event intervals. Finally, a simulation example is presented to verify the feasibility of the algorithm.

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Authors and Affiliations

  1. College of Information Engineering, Capital Normal University, Beijing, 100048, China

    Jiaang Zhang, Chang-E. Ren & Quanxin Fu

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  1. Jiaang Zhang
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  2. Chang-E. Ren
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  3. Quanxin Fu
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Corresponding author

Correspondence to Chang-E. Ren.

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This work was supported in part by the National Natural Science Foundation of China under Grant 61803276, Beijing Municipal Education Commission Science Plan (General Research Project, No. KM201910028004), Beijing Natural Science Foundation (4202011), and Key Research Grant of Academy for Multidisciplinary Studies of CNU (JCKXYJY2019018).

Jiaang Zhang received her B.S. degree from Qufu Normal University, Rizhao, in 2019. She is currently a postgraduate in the College of Information Engineering, Capital Normal University, Beijing, China. Her research interests include nonlinear control and consensus control of multi-agent systems.

Chang-E Ren received her Ph.D. degree from University of Macau, Macau, China. She is currently a lecturer in Capital Normal University. Her research interests include adaptive fuzzy control, nonlinear control, and consensus control of multiagent systems.

Quanxin Fu received his B.S. degree from Liaocheng University, Liaocheng, in 2018. He is currently pursuing an M.S. degree in the College of Information Engineering, Capital Normal University, Beijing, China. His research interests include event-triggered control and consensus control of multi-agent systems.

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Zhang, J., Ren, CE. & Fu, Q. Adaptive Event-triggered Control for Stochastic Nonlinear Multi-agent Systems with Unknown Control Directions. Int. J. Control Autom. Syst. 19, 2950–2958 (2021). https://doi.org/10.1007/s12555-020-0420-y

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  • DOI: https://doi.org/10.1007/s12555-020-0420-y

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