Optimal observer-based feedback control for linear fractional-order systems with periodic coefficients
JVC/Journal of Vibration and Control
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.
Link to Published Version
Dabiri, A., & Butcher, E. A. (2019). Optimal observer-based feedback control for linear fractional-order systems with periodic coefficients. Journal of Vibration and Control, 25(7), 1379–1392. https://doi.org/10.1177/1077546318822370