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Adaptive Neuro Fuzzy Control of Triple Inverted Pendulum System

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Signals, Machines and Automation (SIGMA 2022)

Part of the book series: Lecture Notes in Electrical Engineering ((LNEE,volume 1023))

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Abstract

This study presents proportional-integral-derivative (PID) and adaptive neuro fuzzy inference system (ANFIS) control strategy to stabilize of highly nonlinear triple inverted pendulum system. A nonlinear dynamic representation of the system has been proposed and simulated in MATLAB/Simulink platform. The result indicates better performance of ANFIS controller compared to PID controller. Both ANFIS and PID controllers were able to stabilize complete system with desirable overshoot and steady state response. In order to minimize if–then fuzzy rules, the ANFIS controller has been designed using only three membership functions of triangular shape. The proposed ANFIS controller aided in solving the problem of fuzzy rule explosion commonly associated with fuzzy controllers.

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References

  1. Ananevskii IM (2018) The control of a three-link inverted pendulum near the equilibrium point. Mech Solids 53:16–21. https://doi.org/10.3103/S0025654418030020

    Article  Google Scholar 

  2. Furut K, Ochiai T, Ono N (1984) Attitude control of a triple inverted pendulum. Int J Control 39(6):1351–1365. https://doi.org/10.1080/00207178408933251

    Article  MATH  Google Scholar 

  3. Chen W, Theodomile N (2016) Simulation of a Triple inverted pendulum based on fuzzy controller. World J Eng Technol 4(2):267–272. https://doi.org/10.4236/wjet.2016.42026

    Article  Google Scholar 

  4. Huang X, Wen F, Wei Z (2018) Optimization of triple inverted pendulum control process based on motion vision. EURASIP J Image Video Process 73:1–8. https://doi.org/10.1186/s13640-018-0294-6

    Article  Google Scholar 

  5. Arkhipova IM (2019) On stabilization of a triple inverted pendulum via vibration of a support with an arbitrary frequency. Vestnik St. Petersburg University, Mathematics 52:194–198. https://doi.org/10.1134/S1063454119020031

  6. Jahn B, Watermann L, Reger J (2021) On the design of stable periodic orbits of a triple pendulum on a cart with experimental validation. Automatica 125:1–7. https://doi.org/10.1016/j.automatica.2020.109403

    Article  MathSciNet  MATH  Google Scholar 

  7. Masrom MF, Ghani NMA, Tokhi MO (2021) Particle swarm optimization and spiral dynamic algorithm based interval type-2 fuzzy logic control of triple link inverted pendulum system: a comparative assessment. J Low Freq Noise Vib Control 40(1):367–382. https://doi.org/10.1177/1461348419873780

    Article  Google Scholar 

  8. Hussain K, Salleh M (2015) Analysis of techniques for ANFIS rule-base minimization and accuracy maximization. ARPN J Eng Appl Sci 10(20):9739–9746

    Google Scholar 

  9. Su H, Woodham CA (2003) On the uncontrollable damped triple inverted pendulum. J Comput Appl Math 151(2):425–443. https://doi.org/10.1016/S0377-0427(02)00663-5

    Article  MathSciNet  MATH  Google Scholar 

  10. Medrano-Cerda GA (1997) Robust stabilization of a triple inverted pendulum cart. Int J Control 68(4):849–866. https://doi.org/10.1080/002071797223361

    Article  MathSciNet  MATH  Google Scholar 

  11. Pant S, Kumar A, Ram M (2019) Solution of nonlinear systems of equations via metaheuristics. Int J Math Eng Manage Sci 4(5):1108–1126

    Google Scholar 

  12. Kim MH, Lee SU (2021) PID with a switching action controller for nonlinear systems of second order controller canonical form. Int J Control Autom Syst 19:2343–2356. https://doi.org/10.1007/s12555-020-0346-4

    Article  Google Scholar 

  13. Kouba NEY, Menaa M, Hasni M, Boudour M (2019) A new robust fuzzy-PID controller design using gravitational search algorithm. Int J Comput Aided Eng Technol 11(3):331–360. https://doi.org/10.1504/IJCAET.2019.099327

    Article  Google Scholar 

  14. Tsai CC, Tai FC, Chang YL, Tsai CT (2017) Adaptive predictive PID control using fuzzy wavelet neural networks for nonlinear discrete-time time-delay systems. Int J Fuzzy Syst 19:1718–1730. https://doi.org/10.1007/s40815-017-0405-z

    Article  MathSciNet  Google Scholar 

  15. Malik P, Nautiyal L, Ram M (2019) A method for considering error propagation in reliability estimation of component-based software systems. Int J Math Eng Manage Sci 4(3):635–653

    Google Scholar 

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Correspondence to Ashwani Kharola .

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Kharola, A., Rahul, Pokhriyal, V. (2023). Adaptive Neuro Fuzzy Control of Triple Inverted Pendulum System. In: Rani, A., Kumar, B., Shrivastava, V., Bansal, R.C. (eds) Signals, Machines and Automation. SIGMA 2022. Lecture Notes in Electrical Engineering, vol 1023. Springer, Singapore. https://doi.org/10.1007/978-981-99-0969-8_28

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  • DOI: https://doi.org/10.1007/978-981-99-0969-8_28

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  • Print ISBN: 978-981-99-0968-1

  • Online ISBN: 978-981-99-0969-8

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