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


Duman Mammadov A., Dincel E., Söylemez M. T.

TRANSACTIONS OF THE INSTITUTE OF MEASUREMENT AND CONTROL, 2022 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Publication Date: 2022
  • Doi Number: 10.1177/01423312221110702
  • Journal Name: TRANSACTIONS OF THE INSTITUTE OF MEASUREMENT AND CONTROL
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Applied Science & Technology Source, Communication Abstracts, Computer & Applied Sciences, INSPEC, Metadex, DIALNET, Civil Engineering Abstracts
  • Keywords: Two-input two-output processes, decentralized control, proportional-integral-retarded controller, dominant pole assignment, discrete-time domain, Nyquist stability criterion, DOMINANT POLE-PLACEMENT, PID CONTROLLERS, PI/PID CONTROLLERS, SPECIFICATIONS
  • Istanbul Technical University Affiliated: Yes

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.