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All Journal International Journal of Electrical and Computer Engineering BAREKENG: Jurnal Ilmu Matematika dan Terapan Jurnal Sosial dan Sains
Janson Naiborhu
Industrial Financial Mathematics Group Faculty of Mathematics and Natural Science, ITB.
Astronomy Computer Science & IT Control & Systems Engineering Economics, Econometrics & Finance Electrical & Electronics Engineering Energy Engineering Environmental Science Law, Crime, Criminology & Criminal Justice Library & Information Science Mathematics Mechanical Engineering Physics Transportation

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Journal : International Journal of Electrical and Computer Engineering

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Tracking control of uncertain third order jerk equation Genesio-Tesi using adaptive backstepping Mu'tamar, Khozin; Naiborhu, Janson; Saragih, Roberd; Handayani, Dewi
International Journal of Electrical and Computer Engineering (IJECE) Vol 15, No 3: June 2025
Publisher : Institute of Advanced Engineering and Science

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.11591/ijece.v15i3.pp2758-2768

Abstract

This article presents the uncertain Genesio-Tesi, a third-order Jerk equation in the form of an ordinary differential equation, with the potential to exhibit chaos under certain conditions. The main focus of this article is to design a control function for the uncertain Genesio-Tesi, which has uncertain parameters with unknown values. The adaptive backstepping method designs the control function, demonstrating its ability to stabilize the system output towards a given trajectory using Lyapunov stability. To test the robustness of the proposed control method, simulations were conducted with various scenarios, including disturbances to the steady-state system. Simulation results show that the controller successfully drove the system output along a desired trajectory, whether constant or a function, and maintained system stability even with significant disturbances.
Co-Authors Arief Ardyansyah Dewi Handayani Khozin Mu'tamar Khozin Mu’tamar, Khozin Mu'tamar, Khozin