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复杂系统与复杂性科学  2026, Vol. 23 Issue (3): 112-120    DOI: 10.13306/j.1672-3813.2026.03.014
  研究前沿 本期目录 | 过刊浏览 | 高级检索 |
非线性系统的跟踪时间可预设迭代学习控制
殷春武
西安建筑科技大学信息与控制工程学院,西安 710055
Iterative Learning Control with Preset Tracking Time for Nonlinear Systems
YIN Chunwu
College of Information and Control Engineering, Xi'an University of Architecture and Technology, Xi'an 710055, China
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摘要 为解决二阶非线性系统的输入饱和约束和收敛时间区间预设问题,设计了一种系统信号有界的迭代学习控制算法。使用不等式变换,分离出系统中的未知参数函数,建立限幅迭代学习算法估计未知参数函数;借助预设时间收敛转换函数,将任意初值滑模面转换为初值为零的新变量,构建变增益限幅迭代学习控制器,严格的理论分析证明了滑模面的迭代收敛性和闭环系统所有信号一致有界,保证系统轨迹跟踪误差在预设时间内收敛。任意初值机器人轨迹跟踪控制的仿真分析,验证了方法的有效性和收敛时间区间可根据工程需求设置的优良特性。
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殷春武
关键词 迭代学习控制滑模控制迭代初值问题控制饱和约束预设时间控制    
Abstract:A signal bounded iterative learning control algorithm is designed to address the input saturation constraint and convergence time interval setting problem of second-order nonlinear systems. Using inequality transformation to separate unknown parameter functions in the system, establish a limited amplitude iterative learning algorithm to estimate unknown parameter functions; By means of the predefined time convergence conversion function, the arbitrary initial value sliding mode surface is converted into a new variable with zero initial value, and a variable gain limiting iterative learning controller is constructed. Strict theoretical analysis proves that the sliding mode surface converges to zero after finite iterative learning and all signals of the closed-loop system are uniformly bounded,ensuring the trajectory tracking error converges within the preset time. The numerical simulation of arbitrary initial value robot trajectory tracking control verifies the effectiveness of the proposed method and the excellent characteristics of the convergence time interval that can be set according to engineering requirements.
Key wordsiterative learning control    sliding mode control    iterative initial value problem    control saturation constraints    predefined time control
收稿日期: 2024-06-12      出版日期: 2026-07-14
ZTFLH:  TP13  
  TP273  
基金资助:国家自然科学基金(61803293);信息融合技术教育部重点实验室项目(LIFT-2024001);西安建筑科技大学自然科学专项(ZR20049)
作者简介: 殷春武(1982-),男,湖北广水人,博士,副教授,主要研究方向为非线性系统的迭代学习控制、预设时间控制。
引用本文:   
殷春武. 非线性系统的跟踪时间可预设迭代学习控制[J]. 复杂系统与复杂性科学, 2026, 23(3): 112-120.
YIN Chunwu. Iterative Learning Control with Preset Tracking Time for Nonlinear Systems[J]. Complex Systems and Complexity Science, 2026, 23(3): 112-120.
链接本文:  
https://fzkx.qdu.edu.cn/CN/10.13306/j.1672-3813.2026.03.014      或      https://fzkx.qdu.edu.cn/CN/Y2026/V23/I3/112
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