IMC-PID Fractional Order Filter Multi-loop Controller Design for Multivariable Systems Based on Two Degrees of Freedom Control Scheme

  • Tassadit Chekari
  • Rachid Mansouri
  • Maamar Bettayeb
Regular Paper Control Theory and Applications
  • 21 Downloads

Abstract

An IMC-PID fractional order filter multi-loop controller design method based on two degrees of freedom paradigm is proposed for Multiple Input-Multiple Output systems with time delays. The interactions among the control loops are considered as disturbances. Thus, a two degrees of freedom control scheme, used for monovariable system to ensure the disturbance rejection, is extended to multivariable systems in order to reduce the effect of the coupling among the control loops. The proposed controller design method requires the control pairing selection with the least interactions and a set-point controller is calculated. An interactions reduction effect controller is calculated for each loop by defining a suitable complementary sensitivity function. The proposed controller design method is simple and systematic in relation with the desired closed loop specifications of each loop. The controllers obtained ensure robustness to process variations. Two illustrative examples are presented to show the merits of the proposed method.

Keywords

Bode’s ideal transfer function IMC control MIMO systems multiloop control 2DOF structure 

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Copyright information

© Institute of Control, Robotics and Systems and The Korean Institute of Electrical Engineers and Springer-Verlag GmbH Germany, part of Springer Nature 2018

Authors and Affiliations

  • Tassadit Chekari
    • 1
  • Rachid Mansouri
    • 1
  • Maamar Bettayeb
    • 2
  1. 1.L2CSP LaboratoryMouloud Mammeri UniversityTizi OuzouAlgeria
  2. 2.Electrical and Computer Engineering Department, University of Sharjah, United Arab Emirates and Distinguished Adjunct ProfessorCenter of Excellence in Intelligent Engineering Systems (CEIES) King Abdulaziz UniversityJeddahSaudi Arabia

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