An integral feedback linearization applied to an aeropendulum

Abstract Aeropendulum systems are nonlinear systems, in which a motor-propeller assembly drives a rod. They are used for educational purposes and testing control laws in real systems. Feedback linearization is a nonlinear control technique that algebraically linearizes a plant’s dynamics via a feedback law and has been applied to various systems. This paper designs a feedback linearization control law incorporating an integrator into the control loop. The integrator enhances robustness in respect to constant disturbances, but alters the closed-loop dynamics, preventing it from following exactly the dynamics, associated with the desired characteristic roots under constant input. To address this, the integrator’s initial condition is treated as an additional variable, selected to ensure the expected closed-loop response. Finally, simulations and bench experiments on an Aeropendulum system validate the approach, demonstrating the integrator’s e ectiveness in handling constant disturbances and the impact of selecting an appropriate initial condition.

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Publication Details

Journal
Control and Cybernetics
Published
2025-03-01
DOI
https://doi.org/10.2478/candc-2025-0003
Primary Topic
Adaptive Control of Nonlinear Systems
Type
article
Field-Weighted Citation Impact
0.00

Funders

Controls
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article

An integral feedback linearization applied to an aeropendulum

Rodrigo Henrique Cunha Palácios, Ricardo Breganon, Uiliam Nelson Lendzion Tomaz Alves, Márcio Mendonça
Control and Cybernetics
Adaptive Control of Nonlinear Systems
article

An integral feedback linearization applied to an aeropendulum

Rodrigo Henrique Cunha Palácios, Ricardo Breganon, Uiliam Nelson Lendzion Tomaz Alves, Márcio Mendonça
article en

Abstract

Abstract Aeropendulum systems are nonlinear systems, in which a motor-propeller assembly drives a rod. They are used for educational purposes and testing control laws in real systems. Feedback linearization is a nonlinear control technique that algebraically linearizes a plant’s dynamics via a feedback law and has been applied to various systems. This paper designs a feedback linearization control law incorporating an integrator into the control loop. The integrator enhances robustness in respect to constant disturbances, but alters the closed-loop dynamics, preventing it from following exactly the dynamics, associated with the desired characteristic roots under constant input. To address this, the integrator’s initial condition is treated as an additional variable, selected to ensure the expected closed-loop response. Finally, simulations and bench experiments on an Aeropendulum system validate the approach, demonstrating the integrator’s e ectiveness in handling constant disturbances and the impact of selecting an appropriate initial condition.

Control and CyberneticsVol. 54(1)
Universidade Tecnológica Federal do Paraná (BR), Instituto Federal do Paraná (BR)
Universidade Tecnológica Federal do Paraná
Openalex Percentile: Top 53%
Adaptive Control of Nonlinear Systems
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An integral feedback linearization applied to an aeropendulum — Rodrigo Henrique Cunha Palácios, Ricardo Breganon, et al. · Control and Cybernetics (2025) | TGRS Research Map | TGRS