系统科学与数学2024,Vol.44Issue(1) :45-59.DOI:10.12341/jssms23313

无需精确初始误差的纯反馈系统实用预设时间保性能控制设计

Practical Prescribed-Time Guaranteed Performance Control for Pure-Feedback Systems Without Accurate Initial Errors

谭燕 吴刘仓
系统科学与数学2024,Vol.44Issue(1) :45-59.DOI:10.12341/jssms23313

无需精确初始误差的纯反馈系统实用预设时间保性能控制设计

Practical Prescribed-Time Guaranteed Performance Control for Pure-Feedback Systems Without Accurate Initial Errors

谭燕 1吴刘仓1
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作者信息

  • 1. 昆明理工大学理学院,云南 650500
  • 折叠

摘要

暂态行为、稳态精度、调节时间和收敛速率是评价控制系统闭环性能的四个关键指标.文章针对非匹配的不确定纯反馈非线性系统,提出了一种同时满足以上四个指标的跟踪控制设计方案.该方案通过设定性能函数来保证系统输出信号始终保持在由该函数边界形成的包络范围内.同时,在一种新颖的误差转换机制控制下,闭环系统的稳态精度和调节时间可以被预先设定.文章使用神经网络来逼近完全未知的非线性函数,其中神经网络的权值可以通过自适应律在线更新.另外,文章在自适应律中加入σ-修正项以避免估计参数发生漂移现象.最后,仿真结果验证了所提控制方法的有效性和在控制性能上的优越性.

Abstract

Transient behavior,steady-state precision,regulation time,and conver-gence rate are the four key indicators for evaluating closed-loop control system per-formance.In this paper,the authors propose a tracking control design scheme that simultaneously satisfies the above four indicators for unmatched uncertain pure feed-back nonlinear systems.This scheme ensures that the system output signal always stays within the envelope range formed by the performance function by setting the performance function.At the same time,under a novel error transformation mecha-nism control,the steady-state precision and regulation time of the closed-loop system can be pre-set.The authors use neural networks to approximate completely unknown nonlinear functions,where the weights of the neural network can be updated online by adaptive laws.In addition,the authors add the σ-correction term in the adaptive law to avoid parameter estimation drift phenomenon.Finally,simulation results val-idate the effectiveness of the proposed control method and its superiority in control performance.

关键词

自适应控制/径向基神经网络/纯反馈系统/非线性系统

Key words

Adaptive control/RBFNN/pure-feedback systems/nonlinear systems

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基金项目

国家自然科学基金(12261051)

出版年

2024
系统科学与数学
中国科学院数学与系统科学研究院

系统科学与数学

CSTPCD北大核心
影响因子:0.425
ISSN:1000-0577
参考文献量27
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