This article investigates the problem of event‐trigger based adaptive backstepping control for a class of nonlinear fractional order systems. By introducing an appropriate transformation of frequency distributed model, the fractional‐order indirect Lyapunov method with is obtained. In addition, the event‐triggered adaptive controller is developed by employing the event‐triggered control approach. Meanwhile, by the proposed adaptive control scheme, all the closed‐loop signals are globally uniformly bounded, and the tracking error converges to a small neighborhood of the origin. Finally, simulation results are provided to testify the availability of the presented controller.

中文翻译：

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一类非线性分数阶系统的事件触发自适应反步跟踪控制

本文研究了一类非线性分数阶系统的基于事件触发的自适应反推控制问题。通过引入适当的频率分布模型变换，可以得到分数阶间接Lyapunov方法。另外，通过使用事件触发的控制方法来开发事件触发的自适应控制器。同时，通过提出的自适应控制方案，所有闭环信号在全局范围内均匀有界，并且跟踪误差收敛到原点的较小邻域。最后，提供仿真结果以证明所提出控制器的可用性。