Robust digital pole-placer for electric drives based on uncertain diophantine equation and interval mathematics

Hisham Soliman, Ashraf Saleem, Tarek A. Tutunji, Serein Al Ratrout

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

In this paper, a novel robust digital controller design is proposed and implemented for induction motor speed control. The objective is to design a robust output feedback controller that places the closed-loop poles in a specified region in order to achieve the desired dynamic performance for a system with variable load. The design is carried out in the frequency domain by solving the uncertain Diophantine equation using interval mathematics and non-linear optimization method. In order to capture the load variations, the characteristic equation is relaxed and enlarged from a fixed-point to an interval set. A simple model-based design methodology is adopted in this work and implemented experimentally using a Hardware-in-the-Loop environment. The proposed design is simulated and then validated using real induction drive system. The proposed controller is compared with two other controllers: the auto tuned PID and a least-square-based robust controller. Experimental results show that the designed robust controller provides a better dynamic response than conventional controllers used in the industry when the motor’s load is varied. These results validate the proposed design as the plant’s output follows the reference signal with minimal overshoot and settling time.
Original languageEnglish
JournalTransactions of the Institute of Measurement and Control
DOIs
Publication statusPublished - May 11 2017

Fingerprint

diophantine equation
Placers
Electric drives
mathematics
Poles
controllers
poles
intervals
Controllers
speed control
induction motors
characteristic equations
output
settling
Speed control
dynamic response
Induction motors
Dynamic response
induction
hardware

Keywords

  • Diophantine equations
  • induction motor drive
  • interval mathematics
  • robust digital control

Cite this

Robust digital pole-placer for electric drives based on uncertain diophantine equation and interval mathematics. / Soliman, Hisham; Saleem, Ashraf; Tutunji, Tarek A.; Al Ratrout, Serein.

In: Transactions of the Institute of Measurement and Control, 11.05.2017.

Research output: Contribution to journalArticle

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