具有不确定控制系数的随机低阶非线性系统有限时间输出反馈控制OA

This paper addresses the finite-time output feedback control problem for a class of stochastic low-order nonlinear systems with uncertain control coefficients and proposes a control strategy based on scaling transformation and dynamic observer gains.By introducing coordinate transformations,the nonlinear effects of uncertain control coefficients are converted into adjustable gains,enabling the construction of a state feedback controller via an improved homogeneous control method.A reduced-order observer with undetermined gains is designed to estimate unmeasurable states,while an iterative gain optimization mechanism is further proposed to dynamically adjust observer parameters for counteracting stochastic disturbances and uncertainties.The global finite-time stability of the closed-loop system in a probabilistic sense is rigorously proven using a composite Lyapunov function.Simulation results demonstrate that the proposed method achieves rapid convergence under uncertain control coefficients,unmeasurable states,and stochastic noise disturbances,thereby overcoming the dependency of traditional output feedback control on deterministic models and fixed-gain observers.This work provides a robust theoretical framework for practical applications such as mechanical control and power regulation.