新疆师范大学学报（自然科学版）2026，Vol.45Issue(2)：40-49,10.
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
The Finite-time Output Feedback Control for Stochastic Low-order Nonlinear Systems with Uncertain Control Coefficients
摘要
Abstract
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.关键词
不确定控制系数/低阶/有限时间/输出反馈镇定/观测器增益Key words
Uncertain control coefficient/Low-order/Finite-time/Output feedback stabilization/Observer gain分类
数理科学引用本文复制引用
张佳鹏,宋公飞,夏永康..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[J].新疆师范大学学报（自然科学版）,2026,45(2):40-49,10.基金项目
国家自然科学基金项目(61973170 （）
62373195) （）
江苏高校"青蓝工程"资助项目(R2023Q03). （R2023Q03）
