Abstract
Design of the dual layer adaptive super-twisting sliding mode control (ASTSMC) strategy for position control of a motorized single link flexible robotic arm is presented in this article.The system comprises of a cantilever beam, the robotic arm whose horizontal sliding enables positioning at the required length. Prismatic joint at the fixed extremity of the flexure is positioned at the desired point (the set length) by a linear actuation system- the DC motor and the lead-screw. The parameters and hence the model of the DC motor is determined using the nonlinear least-square (NLS) parameter estimation method. The flexible manipulator is modeled using the lumped parameter model approach. The super twisting algorithm and adaptive law are designed in combination to control the position of the robotic arm; the performance of the adaptive SMC controller is compared with that of the classical PID controller and SMC. The simulated and experimental results show that positioning accuracy is ensured and the response time is improved by the ASTSMC controller.
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References
M. Banu Sundareswari, G. Then Mozhi, K. Dhanalakshmi, Angular control of differential shape-memory alloy spring actuator for underactuated dynamic system. J. Vib. Control. 19–20, 2829–2843 (2022)
J. Becedas, G. Mamani, V. Feliu, Algebraic parameters identification of DC motors: methodology and analysis. Int. J. Syst. Sci. 41(10), 1241–1255 (2010)
C. Sun, W. He, J. Hong, Neural network control of a flexible robotic manipulator using the lumped spring-mass model. IEEE Trans. Syst. Man Cybern. 47(8), 1863–1874 (2017)
S. Biricik, H. Komurcugil, H. Ahmed, E. Babaei, Super twisting sliding-mode control of DVR with frequency-adaptive Brockett oscillator. IEEE Trans. Ind. Electron. 68(11), 10730–10739 (2020)
C.F. Castillo-Berrio, S.N. Engin, V. Feliu-Batlle, A study on the tip tracking control of a single flexible beam. Trans. Inst. Meas. Control. 38(5), 602–617 (2017)
S. Mobayen, F. Tchier, L. Ragoub, 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), 1990–20024 (2017)
C. Edwards, Y. Shtessel, Adaptive dual-layer super-twisting control and observation. Int. J. Control. 89(9), 1759–1766 (2016)
Y.J. Ma, H. Zhao, T. Li, Robust adaptive dual layer sliding mode controller: Methodology and application of uncertain robot manipulator. Trans. Inst. Meas. Control. 44(4), 848–860 (2021)
J.-J. Slotine, Sliding controller design for non-linear systems. Int. J. Control 40(2), 421–434 (1984)
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Then Mozhi, G., Banu Sundareswari, M. & Dhanalakshmi, K. Bidirectional Position Control of a Prismatic joint for Motorized Single Link Robotic Arm Using Adaptive Super- Twisting Sliding Mode Control. J. Inst. Eng. India Ser. B 104, 1035–1042 (2023). https://doi.org/10.1007/s40031-023-00908-w
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DOI: https://doi.org/10.1007/s40031-023-00908-w