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基于大时滞系统的改进无模型控制器研究

沈焱鑫,潘 丰   

  1. (江南大学轻工过程先进控制教育部重点实验室,江苏无锡214122)
  • 收稿日期:2014-07-04 出版日期:2015-06-15 发布日期:2015-06-15
  • 作者简介:沈焱鑫(1989 - ),男,硕士研究生,主研方向:控制科学与工程;潘 丰,教授、博士生导师。
  • 基金资助:

    国家自然科学基金资助项目(61273131);江苏省产学研联合创新基金资助项目(BY2013015-39)。

Study of Improved Model-free Controller Based on Large Time-delay System

SHEN Yanxin,PAN Feng   

  1. (Key Laboratory of Advanced Process Control for Light Industry,Ministry of Education,Jiangnan University,Wuxi 214122,China)
  • Received:2014-07-04 Online:2015-06-15 Published:2015-06-15

摘要:

无模型控制是一种不依赖被控对象数学模型的控制方法,对于复杂系统有较好的控制效果。大时滞系统控制的稳定性和快速性是一对相互对立的问题,以往较多关注其稳定性研究,对其快速性研究较少。为此,在基本无模型控制方法的基础上,借鉴功能组合控制方法的思想,在泛模型中引入速度因子v(k),得到一种改进的无模型控制方法,能够提高无模型控制方法对大时滞系统的控制速度,兼顾其控制稳定性和快速性。对改进无模型控制方法的有界输入有界输出稳定性及收敛性证明验证了该方法的可行性。同时Matlab 仿真实验表明该方法可提高对大时滞系统的控制速度。

关键词: 速度因子, 无模型控制, 泛模型, 大时滞, 快速性

Abstract:

Not relying on mathematical model,model-free control is a control method which has good control effect in complex system. The stability and fast of the large time-delay control system is a pair of conflicting issues,and more attention is paid to its stability studies than rapidity in the past. Based on the basic model-free control method and drawing lessons from the control method of function combination,this paper obtains an improved model-free control method that pulls the speed factor v(k) in fan model and improves the control method for controlling the speed of delay system giving consideration to both its stability and speed control. This paper proves that the improved method is feasible by certifying Bounded Input Bounded Output (BIBO) stability and convergence of the improved model-free control method. Matlab simulation test also proves that the method improves control speed of the large time-delay system.

Key words: speed factor, model-free control, universal model, large time-delay, rapidity

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