In this paper, a novel adaptive fuzzy controller is developed for the uncertain fractional-order switched nonlinear systems whose output is quantized by a class of sector-bounded quantizers. Since the states are not completely measurable, an observer with quantized output signal is designed to estimate the unknown system states. Meanwhile, based on the fractional Lyapunov stability criterion, the Lyapunov function with sum functions and the virtual control function with hyperbolic tangent functions are designed. Besides, in order to improve the approximation accuracy of the unknown nonlinear functions generated by fractional differential, the prediction errors and auxiliary variables of series-parallel estimation model are introduced in backstepping procedures. The simulation results show that the control scheme ensures that all the signals of the considered system remain semi-globally uniformly ultimately bounded, and the tracking error converges to a small neighborhood of the origin regardless of arbitrary switching.

中文翻译：

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带有输出量化的不确定分数阶非线性切换系统的输出反馈自适应模糊控制

本文针对不确定的分数阶切换非线性系统，开发了一种新型的自适应模糊控制器，其输出由一类扇形边界量化器进行量化。由于状态不是完全可测量的，因此设计了具有量化输出信号的观察者以估计未知系统状态。同时，基于分数Lyapunov稳定性准则，设计了具有和函数的Lyapunov函数和具有双曲正切函数的虚拟控制函数。此外，为了提高分数阶微分产生的未知非线性函数的逼近精度，在反推过程中引入了串并联估计模型的预测误差和辅助变量。