Design of decentralized proportional–integral proportional–retarded controllers in discrete-time domain for two-input two-output processes

Ayşe Duman Mammadov*, Emre Dincel, Mehmet Turan Söylemez

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

In this paper, a decentralized proportional–integral proportional–retarded (PI-PR) controller design method is proposed for two-input two-output (TITO) systems in discrete-time domain. The well-known dominant pole assignment (DPA) approach is used as the basis of the proposed approach. The controller design starts with the decoupling of a given TITO system into two sub-systems and continues with the design of proportional–integral–retarded (PIR) controllers for each sub-system, respectively. The feasible discrete PIR controller parameter set is obtained through the Nyquist stability criterion by considering the desired closed-loop performance specifications. The obtained PIR controllers are then implemented using a PI-PR control structure to avoid poor performance of the closed-loop system (CLS) transient response, which can be caused by the controller zeros. Moreover, a case study is presented to show the performance of the PI-PR controller in a simulation environment. It is shown that the proposed control structure provides a satisfactory performance when compared with the other proportional–integral–derivative (PID) control methods from the literature.

Original languageEnglish
Pages (from-to)427-439
Number of pages13
JournalTransactions of the Institute of Measurement and Control
Volume45
Issue number3
DOIs
Publication statusPublished - Feb 2023

Bibliographical note

Publisher Copyright:
© The Author(s) 2022.

Keywords

  • Nyquist stability criterion
  • Two-input two-output processes
  • decentralized control
  • discrete-time domain
  • dominant pole assignment
  • proportional–integral–retarded controller

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