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Part of the book series: Lecture Notes in Electrical Engineering ((LNEE,volume 1123))

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Abstract

This paper presents a feedback passivation control scheme, which named passivity-based controller (for short, PBC) for rotational inverted pendulum (for short, RIP), an under-actuated mechanical system which is nonlinear and unstable. Previous studies developed PBC by using one of two existing methods, which include choice of output and feedback passivation. The motivation of this paper is to develop PBC by combining choice of output and feedback passivation. The plant and PBC method are modeled and analyzed in MATLAB/Simulink environment. The end of this work presents a number of simulations regarding stabilization control of RIP by PBC. Theoretical analyses and validation results is provided to demonstrate the effectiveness and robustness of PBC.

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References

  1. Nghi HV, Nhien DP, Nguyet NTM, Duc NT, Luu NP, Thanh PS, Ba DX (2021) A LQR-based neural-network controller for fast stabilizing rotary inverted pendulum. In: 2021 international conference on system science and engineering (ICSSE), Aug 2021, pp 19-22. https://doi.org/10.1109/ICSSE52999.2021.9537940

  2. Pandey A, Adhyaru DM (2023) Robust control design for rotary inverted pendulum with unmatched uncertainty. Int J Dynam Control 11:1166–1177. https://doi.org/10.1007/s40435-022-01047-8

    Article  Google Scholar 

  3. Ashenafi NA, Sirichotiyakul W, Satici AC (2022) Robust passivity-based control of underactuated systems via neural approximators and Bayesian inference. IEEE Control Syst Lett 6:3457–3462. https://doi.org/10.1109/LCSYS.2022.3184756

    Article  MathSciNet  Google Scholar 

  4. Gutierrez-Oribio D, Stefanou I, Plestan F (2022) Passivity-based control of underactuated mechanical systems with coulomb friction: application to earthquake prevention. ArXiv preprint arXiv:2207.07181. https://doi.org/10.48550/arXiv.2207.07181

  5. Yang X, Zheng X (2018) Swing-up and stabilization control design for an underactuated rotary inverted pendulum system: theory and experiments. IEEE Trans Ind Electron 65(9):7229–7238. https://doi.org/10.1109/TIE.2018.2793214

    Article  Google Scholar 

  6. Ortega R, Perez JAL, Nicklasson PJ, Sira-Ramirez HJ (2013) Passivity-based control of Euler-Lagrange systems: mechanical, electrical and electromechanical applications. Springer Science and Business Media

    Google Scholar 

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Acknowledgements

We acknowledge the support of time and facilities from Ho Chi Minh City University of Technology (HCMUT), Vietnam National University, Ho Chi Minh City (VNU-HCM) for this study.

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Correspondence to Minh-Tai Vo .

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Vo, MT., Nguyen, VDH., Duong, HN., Nguyen, VH. (2024). Passivity-Based Control of Underactuated Rotary Inverted Pendulum System. In: Ahmad, N.S., Mohamad-Saleh, J., Teh, J. (eds) Proceedings of the 12th International Conference on Robotics, Vision, Signal Processing and Power Applications. RoViSP 2021. Lecture Notes in Electrical Engineering, vol 1123. Springer, Singapore. https://doi.org/10.1007/978-981-99-9005-4_28

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