Value Set-Based Numerical Analysis of Robust Stability for Fractional-Order Retarded Quasi-Polynomials with Uncertain Parameters and Uncertain Fractional Orders

Mathuso R., Şenol B., Alagöz B. B., Ateş A.

CoMeSySo 2021: Data Science and Intelligent Systems , Zlin, Czech Republic, 22 - 26 July 2021, pp.8-23, (Full Text)

  • Publication Type: Conference Paper / Full Text
  • Doi Number: 10.1007/978-3-030-90321-3_3
  • City: Zlin
  • Country: Czech Republic
  • Page Numbers: pp.8-23
  • Inonu University Affiliated: Yes

Abstract

This example-oriented contribution deals with the value set-based numerical analysis of robust stability for the family of fractional-order retarded quasi-polynomials with both uncertain parameters and uncertain fractional orders. The specific investigated feedback control system consists of the fractional-order PID controller and the controlled plant, represented by a heat transfer process described by the linear time-invariant fractional-order time-delay model with parametric uncertainty (with three uncertain parameters, namely, gain, fractional time constant, and fractional time-delay term, and furthermore two fractional orders). The graphical robust stability analysis is based on the numerical calculation of the value sets and the application of the zero exclusion principle.