Disturbance observer and Mittag-Leffler stabilization design for multi-dimensional fractional distributed parameter systems

Hua-Cheng Zhou, Jun-Yan Qian and Rui-Yang Cai

Applied Mathematics and Computation, 2024, vol. 470, issue C

Abstract: We consider the boundary output feedback Mittag-Leffler (M-L) stabilization of a spatial multi-dimensional time fractional distributed parameter systems (DPSs), where the control input is actuated by Neumann boundary control input with the external disturbance. By employing the active disturbance rejection control (ADRC) approach, we design a disturbance observer consisting of two subsystems in light of the boundary output signal. The first one is utilized to channel the unknown disturbance to a stable system so that the second can observe the unknown disturbance. By employing the fractional Lyapunov method, the bounded disturbance observer can well estimate the external disturbance which means the observation error decays to zero in H1/2(Γ1). Then a disturbance-observer-based stabilizing controller is proposed to ensure the M-L stability of the original system part in the closed-loop system. Finally, some simulations are included to demonstrate the theoretical results.

Keywords: Active disturbance rejection control; Mittag-Leffler stabilization; Output feedback; Disturbance observer; Fractional diffusion equation (search for similar items in EconPapers)
Date: 2024
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:470:y:2024:i:c:s009630032400033x

DOI: 10.1016/j.amc.2024.128561

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