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
- 2.
Edwards C, Spurgeon S (1998) Sliding mode control: theory and applications. CRC Press, Boca Raton
- 3.
Shtessel Y, Edwards C, Fridman L, Levant A (2014) Sliding mode control and observation. Springer, Berlin
- 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
- 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
- 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
- 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
- 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
- 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
- 11.
Wu Y, Yu X, Man Z (1998) Terminal sliding mode control design for uncertain dynamic systems. Syst Control Lett 34(5):281–287
- 12.
Fridman L, Levant A et al (2002) Higher order sliding modes. Sliding Mode Control Eng 11:53–102
- 13.
Laghrouche S, Plestan F, Glumineau A (2007) Higher order sliding mode control based on integral sliding mode. Automatica 43(3):531–537
- 14.
Feng Y, Han F, Yu X (2014) Chattering free full-order sliding-mode control. Automatica 50(4):1310–1314
- 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
- 16.
Tang Y (1998) Terminal sliding mode control for rigid robots. Automatica 34(1):51–56
- 17.
Utkin V (2015) Discussion aspects of high-order sliding mode control. IEEE Trans Autom Control 61(3):829–833
- 18.
Bahrami M, Naraghi M, Zareinejad M (2018) Adaptive super-twisting observer for fault reconstruction in electro-hydraulic systems. ISA Trans 76:235–245
- 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
- 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
- 22.
Neila MBR, Tarak D (2011) Adaptive terminal sliding mode control for rigid robotic manipulators. Int J Autom Comput 8(2):215–220
- 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
- 24.
Han J (2009) From PID to active disturbance rejection control. IEEE Trans Ind Electron 56(3):900–906
- 25.
Spurgeon SK (2008) Sliding mode observers: a survey. Int J Syst Sci 39(8):751–764
- 26.
Quanser: 2-DOF helicopter user and control manuals. Markham, Ontario (2006)
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Borkar, A., Patil, P.M. Super twisting observer based full order sliding mode control. Int. J. Dynam. Control (2021). https://doi.org/10.1007/s40435-021-00757-9
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Keywords
- Full order sliding mode control
- Super twisting observer
- Non-linear uncertain system