Optimal observer-based feedback control for linear fractional-order systems with periodic coefficients

Arman Dabiri, Eric Butcher

Research output: Contribution to journalArticlepeer-review

11 Scopus citations

Abstract

This paper proposes a new technique to design an optimal observer-based feedback control for linear fractional-order systems with constant or periodic coefficients. The proposed observer-based feedback control assures the fastest convergence of the closed-loop system’s states. For this purpose, a state-transition operator is defined in a Banach space and approximated using the fractional Chebyshev collocation method. It is shown that periodic gains of the controller and observer can be independently tuned by minimizing the spectral radius of their associated state-transition operators. The validity and efficiency of the proposed method are demonstrated through two illustrative examples.

Original languageEnglish (US)
Pages (from-to)1379-1392
Number of pages14
JournalJVC/Journal of Vibration and Control
Volume25
Issue number7
DOIs
StatePublished - Apr 1 2019

Keywords

  • Fractional-order systems
  • fractional Chebyshev collocation method
  • optimal control
  • optimal observer-based feedback control
  • periodic differential equations
  • spectral method

ASJC Scopus subject areas

  • Automotive Engineering
  • Materials Science(all)
  • Aerospace Engineering
  • Mechanics of Materials
  • Mechanical Engineering

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