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中南大学学报(自然科学版)

Journal of Central South University

第46卷    第3期    总第247期    2015年3月

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文章编号:1672-7207(2015)03-0864-06
一种分数阶时滞过程的内模控制器设计方法
赵志诚,李明杰,张井岗

(太原科技大学 电子信息工程学院,山西 太原,030024)

摘 要: 针对分数阶时滞过程提出一种内模控制器设计方法。根据分数阶过程稳定的充分必要条件给出了时滞过程稳定的阶次范围,采用内模控制(IMC)原理设计一种分数阶IMC控制器,该控制器仅有1个可调参数,且能利用最大灵敏度指标(Ms)实现参数的解析整定,以保证系统的鲁棒性。仿真结果表明:分数阶IMC控制器设计方法简单,参数整定方便,而且可使系统具有良好的目标值跟踪特性、扰动抑制特性以及克服参数变化的鲁棒性。

 

关键字: 分数阶时滞过程;稳定性;内模控制;最大灵敏度;鲁棒性

Design method of internal model controller for fractional order process with time-delay
ZHAO Zhicheng, LI Mingjie, ZHANG Jinggang

School of Electronic Information Engineering, Taiyuan University of Science and Technology, Taiyuan 030024, China

Abstract:An internal model controller design method was proposed for a class of fractional-order process with time-delay. At first, the process order range was given according to the necessary and sufficient conditions of the fractional process stability. And a fractional order controller was designed based on internal model control (IMC) principle. The proposed controller has only one adjustable parameter, which can be derived through the maximum sensitivity (Ms) index. Resultantly, the robustness of the system can be achieved. The simulation results show that the design stategy is easy to implement and controller parameter tunning is convenient. Furthermore, the controller achieves a better target tracking performance, together with effective disturbance rejection property and stronger robustness against the parameters variation.

 

Key words: fractional order process with time-delay; stability; internal model control; maximum sensitivity; robustness

中南大学学报(自然科学版)
  ISSN 1672-7207
CN 43-1426/N
ZDXZAC
中南大学学报(英文版)
  ISSN 2095-2899
CN 43-1516/TB
JCSTFT
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