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Dynamic Event-Triggered Adaptive Tracking Control for Multiagent Systems with Power Exponential Function Using Fuzzy Disturbance Observer

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Abstract

In this paper, a dynamic event-triggered adaptive tracking control law is proposed for nonlinear multiagent systems (MASs) with power exponential functions based on fuzzy disturbance observers. By utilizing fuzzy logic systems, a fuzzy disturbance observer with power exponential function is firstly designed to estimate the external disturbance for MASs with power exponential. Then, an improved dynamic event-triggered scheme is constructed to save the communication resource. Different from the traditional event-triggered strategies, a special threshold function is introduced into the dynamic event-triggered strategy, which alleviates the communication pressure to a larger extent, avoids the large jump of control pulses and enhances the tracking performance in the early stage of system operation. Meanwhile, based on the structural characteristics of systems, the “adding a power integrator” is utilized to resolve the difficulty caused by power exponential functions. Moreover, the Lyapunov stability theory is utilized to verify that all signals of the closed-loop system are semi-globally uniformly ultimately bounded, and the tracking error converges to a small neighborhood of the origin. Finally, simulation results confirm the effectiveness of the proposed control scheme.

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Acknowledgments

This work was partially supported by the National Natural Science Foundation of China (62103108) and the Guangdong Basic and Applied Basic Research Foundation (2020A1515110974).

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Correspondence to Liang Cao.

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Guo, Z., Cao, L., Zuo, C. et al. Dynamic Event-Triggered Adaptive Tracking Control for Multiagent Systems with Power Exponential Function Using Fuzzy Disturbance Observer. Int. J. Fuzzy Syst. 25, 2900–2917 (2023). https://doi.org/10.1007/s40815-023-01540-y

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