An adaptive finite-time approach to the feedback control of stochastic nonlinear systems is presented. The fuzzy logic system (FLS) and a state observer are used to estimate the uncertain function and unmeasured state of the controlled system, respectively. A dynamic surface control (DSC) scheme is employed to deal with the “computational explosion” problem, which is inherent in traditional backstepping methods since the repetitive calculation of the derivatives of virtual control signals is avoided. A new output feedback controller is developed to guarantee that all the signals of the controlled system are bounded within a finite time range and the tracking deviation can converge to an arbitrarily small residual set within finite time. Simulations confirm the analytical and theoretical results of the presented algorithm.

提出了一种随机非线性系统反馈控制的自适应有限时间方法。模糊逻辑系统（FLS）和状态观测器分别用于估计受控系统的不确定功能和未测量状态。采用动态表面控制 (DSC) 方案来处理“计算爆炸”问题，这是传统反推法固有的问题，因为避免了虚拟控制信号导数的重复计算。开发了一种新的输出反馈控制器，以保证受控系统的所有信号都在有限时间范围内有界，并且跟踪偏差可以在有限时间内收敛到任意小的残差集。仿真证实了所提出算法的分析和理论结果。