This article studies the adaptive fuzzy finite‐time quantized control problem of stochastic nonlinear nonstrict‐feedback systems with full state constraints. During the control design process, fuzzy logic systems are used to identify the unknown nonlinear functions, integral barrier Lyapunov functions are employed to solve the state constrained problem. In the frame of backstepping design, an adaptive fuzzy finite‐time quantized control scheme is developed. Based on the stochastic finite‐time Lyapunov stability theory, it can be guaranteed that the closed‐loop system is semiglobal finite‐time stable in probability, and the tracking errors converge to a small neighborhood of the origin in a finite time. Finally, two simulation examples are provided to testify the effectiveness of the developed control scheme.

中文翻译：

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具有全状态约束的随机非线性系统的自适应模糊有限时间量化控制

本文研究了具有全状态约束的随机非线性非严格反馈系统的自适应模糊有限时间量化控制问题。在控制设计过程中，使用模糊逻辑系统识别未知的非线性函数，使用积分势垒Lyapunov函数来解决状态约束问题。在后推设计的框架内，开发了一种自适应模糊有限时间量化控制方案。基于随机有限时间Lyapunov稳定性理论，可以保证闭环系统在概率上是半全局有限时间稳定的，并且跟踪误差在有限时间内收敛到原点的较小邻域。最后，提供了两个仿真示例，以证明所开发控制方案的有效性。