Bernstein polynomials based compensator design for coupled tank system with saturation nonlinearity


TACAL B. , UCUN L.

PROCEEDINGS OF THE INSTITUTION OF MECHANICAL ENGINEERS PART I-JOURNAL OF SYSTEMS AND CONTROL ENGINEERING, 2022 (Journal Indexed in SCI) identifier

  • Publication Type: Article / Article
  • Publication Date: 2022
  • Doi Number: 10.1177/09596518221088440
  • Title of Journal : PROCEEDINGS OF THE INSTITUTION OF MECHANICAL ENGINEERS PART I-JOURNAL OF SYSTEMS AND CONTROL ENGINEERING
  • Keywords: Frequency domain optimization, saturation nonlinearity, Bernstein polynomials, process control, REFERENCE TRACKING CONTROL, INPUT DESCRIBING FUNCTIONS, FRICTION COMPENSATION, ROBOTS

Abstract

This study deals with the design of Bernstein polynomials based compensator in order to attenuate the degrading effect of saturation nonlinearities in process control applications. The proposed compensator is structured in terms of Bernstein polynomials and a frequency dependent cost function is utilized in order to calculate the optimal coefficients for the proposed compensator. In order to illustrate the efficiency of proposed compensator, a well-known benchmark process control problem, the coupled tank system, is taken into consideration in this study. The success of the proposed compensator is illustrated via frequency based harmonic plots and time domain plots of saturated control signal.