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Fractional Order IMC Controller Design for Two-input-two-output Fractional Order System

  • Dazi LiEmail author
  • Xingyu He
  • Tianheng Song
  • Qibing Jin
Regular Papers Control Theory and Applications
  • 27 Downloads

Abstract

Research on the fractional order system is becoming more and more popular. Most of the fractional order controller design methods focus on single-input-single-output processes. In this paper, a fractional order internal model controller with inverted decoupling is proposed to handle non-integer order two-input-two-output systems with time delay. The fractional order two-input-two-output (FO-TITO) process is decoupled by inverted decoupling method. The fractional order internal model control (IMC) is then used to simplify the tuning process. Because of the complexity of multiple time delay, the condition of FO-TITO process with time delay is discussed. In order to ensure the robustness of the system, a Maximum sensitivity function is used to tune the parameters. Then Lyapunov stability theory is applied to verify the stability of the system. The proposed controller provides ideal performance for both set point-tracking and disturbance rejection and is robust to process gain variations. Numerical results show the performance of the proposed method.

Keywords

Fractional order system internal model control inverted decoupling Lyapunov stability theory maximum sensitivity function time delay two-input-two-output process 

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Copyright information

© ICROS, KIEE and Springer 2019

Authors and Affiliations

  1. 1.Department of Automation, College of Information Science and TechnologyBeijing University of Chemical TechnologyBeijingChina

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