Abstract In this paper, we address the problem of event-triggered fuzzy adaptive quantized control for stochastic nonlinear non-affine pure-feedback multi-agent systems. The fuzzy logic system is used to estimate the stochastic disturbance term and unknown nonlinear functions. A nonlinearity decomposition method of asymmetric hysteresis quantizer is proposed by applying sector bound property. Moreover, to reduce the communication burden, an adaptive event-triggered protocol with a varying threshold is constructed. Based on the backstepping technique and stochastic Lyapunov function method, a novel adaptive event-triggered fuzzy control protocol and adaptive laws are constructed. By using stochastic Lyapunov stability theory, it is demonstrated that all signals are bounded in the closed-loop systems in probability and all the outputs of followers converge to the neighborhood of the leader output. Simulation results illustrate the effectiveness of our proposed scheme.

中文翻译：

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非仿射纯反馈形式的非线性多智能体系统的事件触发模糊自适应量化控制

摘要 在本文中，我们解决了随机非线性非仿射纯反馈多智能体系统的事件触发模糊自适应量化控制问题。模糊逻辑系统用于估计随机扰动项和未知非线性函数。应用扇区边界特性，提出了一种非对称迟滞量化器的非线性分解方法。此外，为了减少通信负担，构建了具有可变阈值的自适应事件触发协议。基于backstepping技术和随机Lyapunov函数方法，构建了一种新的自适应事件触发模糊控制协议和自适应律。通过使用随机 Lyapunov 稳定性理论，证明了所有信号在闭环系统中的概率都是有界的，并且跟随者的所有输出都收敛到引导者输出的邻域。仿真结果说明了我们提出的方案的有效性。