河南科技大学学报（自然科学版）2026，Vol.47Issue(3)：1-13,13.DOI:10.15926/j.cnki.issn1672-6871.2026.03.001
分数阶非线性系统的自适应预定义时间优化控制
Adaptive Predefined-Time Optimal Control for Fractional-Order Nonlinear Systems
摘要
Abstract
For a class of fractional-order nonlinear systems with quantized inputs and unknown external disturbances,a disturbance observer-based adaptive predefined-time command-filter self-triggered optimal control scheme is proposed.First,a predefined-time filter is introduced and compensation signals are designed to overcome the computational complexity of the traditional backstepping method.Neural networks are employed to approximate the unknown nonlinear dynamics of the system,and a fractional-order nonlinear disturbance observer is constructed to accurately estimate the lumped disturbance,including neural network approximation errors and unknown external disturbances.Based on the backstepping framework and reinforcement learning strategy,auxiliary variables are introduced and an actor-critic network is designed to solve the Hamilton-Jacobi-Bellman equation,yielding the optimal virtual controller and achieving optimal control.Meanwhile,in the presence of the quantized input,a self-triggered strategy is further introduced to reduce communication resource consumption.According to fractional-order predefined-time stability theory,the proposed scheme ensures that tracking errors converge to a small neighborhood of the origin within a predefined time,and all signals in the closed-loop system remain bounded.Finally,simulation results verify the proposed method's efficacy and superiority.关键词
分数阶非线性系统/预定义时间控制/强化学习/复合扰动观测器/输入量化Key words
fractional-order nonlinear systems/predefined-time control/reinforcement learning/composite disturbance observer/input quantization分类
信息技术与安全科学引用本文复制引用
邢龙航,宋帅,宋晓娜..分数阶非线性系统的自适应预定义时间优化控制[J].河南科技大学学报（自然科学版）,2026,47(3):1-13,13.基金项目
国家自然科学基金项目(62573178) （62573178）
河南省自然科学基金项目(252300421004) （252300421004）
