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Super twisting observer based full order sliding mode control

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Abstract

In this paper, a super twisting observer-based full order sliding mode control is proposed for a non-linear uncertain system. The super twisting observer estimates an \(n{-}\)th system state and the derivative of the \(n{-}\)th system state. It ensures finite convergence of estimation error to zero. The proposed method retains attractive features of full order sliding mode control like finite-time convergence of system states, continuous control, and the system’s full order dynamics when the system is in the sliding mode. The scheme is validated on a 2-DOF helicopter system laboratory setup, and the performance is compared with two well-known observers, i.e., a non-linear extended state observer and a sliding mode observer-based control using two-link manipulator example.

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References

  1. Utkin V, Guldner J, Shi J (2017) Sliding mode control in electro-mechanical systems. CRC Press, Boca Raton

    Book  Google Scholar 

  2. Edwards C, Spurgeon S (1998) Sliding mode control: theory and applications. CRC Press, Boca Raton

    Book  Google Scholar 

  3. Shtessel Y, Edwards C, Fridman L, Levant A (2014) Sliding mode control and observation. Springer, Berlin

    Book  Google Scholar 

  4. Chalanga A, Kamal S, Fridman LM, Bandyopadhyay B, Moreno JA (2016) Implementation of super-twisting control: Super-twisting and higher order sliding-mode observer-based approaches. IEEE Trans Ind Electron 63(6):3677–3685

    Article  Google Scholar 

  5. Mobayen S, Tchier F, Ragoub L (2017) Design of an adaptive tracker for n-link rigid robotic manipulators based on super-twisting global nonlinear sliding mode control. Int J Syst Sci 48(9):1990–2002

    Article  MathSciNet  Google Scholar 

  6. Bouyahia S, Semcheddine S, Talbi B, Boutalbi O, Terchi Y (2019) An adaptive super-twisting sliding mode algorithm for robust control of a biotechnological process. Int J Dyn Control 1–11

  7. Derafa L, Benallegue A, Fridman L (2012) Super twisting control algorithm for the attitude tracking of a four rotors UAV. J Frankl Inst 349(2):685–699

    Article  MathSciNet  Google Scholar 

  8. Zargham F, Mazinan A (2019) Super-twisting sliding mode control approach with its application to wind turbine systems. Energy Syst 10(1):211–229

    Article  Google Scholar 

  9. Li Z, Zhou S, Xiao Y, Wang L (2019) Sensorless vector control of permanent magnet synchronous linear motor based on self-adaptive super-twisting sliding mode controller. IEEE Access 7:44998–45011

    Article  Google Scholar 

  10. Sadeghi R, Madani SM, Ataei M, Kashkooli MA, Ademi S (2018) Super-twisting sliding mode direct power control of a brushless doubly fed induction generator. IEEE Trans Ind Electron 65(11):9147–9156

    Article  Google Scholar 

  11. Wu Y, Yu X, Man Z (1998) Terminal sliding mode control design for uncertain dynamic systems. Syst Control Lett 34(5):281–287

    Article  MathSciNet  Google Scholar 

  12. Fridman L, Levant A et al (2002) Higher order sliding modes. Sliding Mode Control Eng 11:53–102

    Google Scholar 

  13. Laghrouche S, Plestan F, Glumineau A (2007) Higher order sliding mode control based on integral sliding mode. Automatica 43(3):531–537

    Article  MathSciNet  Google Scholar 

  14. Feng Y, Han F, Yu X (2014) Chattering free full-order sliding-mode control. Automatica 50(4):1310–1314

    Article  MathSciNet  Google Scholar 

  15. Xiang X, Liu C, Su H, Zhang Q (2017) On decentralized adaptive full-order sliding mode control of multiple UAVS. ISA Trans 71:196–205

    Article  Google Scholar 

  16. Tang Y (1998) Terminal sliding mode control for rigid robots. Automatica 34(1):51–56

    Article  MathSciNet  Google Scholar 

  17. Utkin V (2015) Discussion aspects of high-order sliding mode control. IEEE Trans Autom Control 61(3):829–833

    Article  MathSciNet  Google Scholar 

  18. Bahrami M, Naraghi M, Zareinejad M (2018) Adaptive super-twisting observer for fault reconstruction in electro-hydraulic systems. ISA Trans 76:235–245

    Article  Google Scholar 

  19. Xiong X, Kikuuwe R, Kamal S, Jin S (2019) Implicit-euler implementation of super-twisting observer and twisting controller for second-order systems. IEEE Trans Circuits Syst II Express Briefs

  20. Davila J, Fridman L, Levant A (2005) Second-order sliding-mode observer for mechanical systems. IEEE Trans Autom Control 50(11):1785–1789

    Article  MathSciNet  Google Scholar 

  21. Baek S, Baek J, Han S (2019) An adaptive sliding mode control with effective switching gain tuning near the sliding surface. IEEE Access 7:15563–15572

    Article  Google Scholar 

  22. Neila MBR, Tarak D (2011) Adaptive terminal sliding mode control for rigid robotic manipulators. Int J Autom Comput 8(2):215–220

    Article  Google Scholar 

  23. Xu Z, Zhang T, Bao Y, Zhang H, Gerada C (2019) A nonlinear extended state observer for rotor position and speed estimation for sensorless IPMSM drives. IEEE Trans Power Electron 35(1):733–743

    Article  Google Scholar 

  24. Han J (2009) From PID to active disturbance rejection control. IEEE Trans Ind Electron 56(3):900–906

    Article  Google Scholar 

  25. Spurgeon SK (2008) Sliding mode observers: a survey. Int J Syst Sci 39(8):751–764

    Article  MathSciNet  Google Scholar 

  26. Quanser: 2-DOF helicopter user and control manuals. Markham, Ontario (2006)

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Correspondence to Ajay Borkar.

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Borkar, A., Patil, P.M. Super twisting observer based full order sliding mode control. Int. J. Dynam. Control 9, 1653–1659 (2021). https://doi.org/10.1007/s40435-021-00757-9

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  • DOI: https://doi.org/10.1007/s40435-021-00757-9

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