Abstract
This paper proposes a continuous PID sliding mode control strategy based on a neural third-order sliding mode observer for robotic manipulators by using only position measurement. A neural third-order sliding mode observer based on radial basis function neural network is first proposed to estimate both the velocities and the dynamic uncertainties and faults. In this observer, the radial basis function neural networks are used to estimate the parameters of the observer, therefore, the requirement of prior knowledge of the dynamic uncertainties and faults is eliminated. The obtained velocities and lumped uncertainties and fault information are then employed to design the continuous PID sliding mode controller based on the super-twisting algorithm. Consequently, this controller provides finite-time convergence, high accuracy, chattering reduction, and robustness against the dynamic uncertainties and faults without the need of velocity measurement and the prior knowledge of the lumped dynamic uncertainties and faults. The global stability and finite-time convergence of the controller are guaranteed in theory by using Lyapunov function. The effectiveness of the proposed method is verified by computer simulation for a PUMA560 robot.
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsReferences
Song, Y., Huang, X., Wen, C.: Robust adaptive fault-tolerant PID control of MIMO nonlinear systems with unknown control direction. IEEE Trans. Ind. Electron. 64(6), 4876–4884 (2017)
Alibeji, N., Sharma, N.: A PID-type robust input delay compensation method for uncertain Euler-Lagrange systems. IEEE Trans. Control Syst. Technol. 25(6), 2235–2242 (2017)
Slotine, J.-J.E., Li, W.: On the adaptive control of robot manipulators. Int. J. Robot. Res. 6(3), 49–59 (1987)
Wang, H.O., Tanaka, K., Griffin, M.F.: An approach to fuzzy control of nonlinear systems: stability and design issues. IEEE Trans. Fuzzy Syst. 4(1), 14–23 (1996)
Tong, S., Wang, T., Li, Y.: Fuzzy adaptive actuator failure compensation control of uncertain stochastic nonlinear systems with unmodeled dynamics. IEEE Trans. Fuzzy Syst. 22(3), 563–574 (2014)
Park, J., Sandberg, I.W.: Universal approximation using radial-basis-function networks. Neural Comput. 3(2), 246–257 (1991)
Song, Y., Guo, J.: Neuro-adaptive fault-tolerant tracking control of Lagrange systems pursuing targets with unknown trajectory. IEEE Trans. Ind. Electron. 64(5), 3913–3920 (2017)
Utkin, V.I.: Sliding Modes in Control and Optimization. Springer, Heidelberg (2013)
Islam, S., Liu, X.P.: Robust sliding mode control for robot manipulators. IEEE Trans. Ind. Electron. 58(6), 2444–2453 (2011)
Guo, Y., Woo, P.-Y.: An adaptive fuzzy sliding mode controller for robotic manipulators. IEEE Trans. Syst. Man Cybern.-Part A: Syst. Hum. 33(2), 149–159 (2003)
Eker, I.: Sliding mode control with PID sliding surface and experimental application to an electromechanical plant. ISA Trans. 45(1), 109–118 (2006)
Moreno, J.A., Osorio, M.: Strict Lyapunov functions for the super-twisting algorithm. IEEE Trans. Autom. Control 57(4), 1035–1040 (2012)
Elmali, H., Olgac, N.: Implementation of sliding mode control with perturbation estimation (SMCPE). IEEE Trans. Control Syst. Technol. 4(1), 79–85 (1996)
Van, M., Ge, S.S., Ren, H.: Finite time fault tolerant control for robot manipulators using time delay estimation and continuous nonsingular fast terminal sliding mode control. IEEE Trans. Cybern. 47(7), 1681–1693 (2017)
Van, M., Kang, H.-J.: Robust fault-tolerant control for uncertain robot manipulators based on adaptive quasi-continuous high-order sliding mode and neural network. Proc. Inst. Mech. Eng. Part C: J. Mech. Eng. Sci. 229(8), 1425–1446 (2015)
Van, M., Kang, H.-J., Suh, Y.-S., Shin, K.-S.: Output feedback tracking control of uncertain robot manipulators via higher-order sliding-mode observer and fuzzy compensator. J. Mech. Sci. Technol. 27(8), 2487–2496 (2013)
Chalanga, A., Kamal, S., Fridman, L.M., Bandyopadhyay, B., Moreno, J.A.: Implementation of super-twisting control: super-twisting and higher order sliding-mode observer-based approaches. IEEE Trans. Ind. Electron. 63(6), 3677–3685 (2016)
Bahrami, M., Naraghi, M., Zareinejad, M.: Adaptive super-twisting observer for fault reconstruction in electro-hydraulic systems. ISA Trans. 76, 235–245 (2018)
Le, T.D., Kang, H.-J.: A fuzzy adaptive sliding mode controller for tracking control of robotic manipulators. J. Inst. Control Robot. Syst. 18(6), 555–561 (2012)
Hoang, D.-T., Kang, H.-J.: Fuzzy neural sliding mode control for robot manipulator. In: Huang, D.-S., Han, Kyungsook, Hussain, Abir (eds.) ICIC 2016. LNCS (LNAI), vol. 9773, pp. 541–550. Springer, Cham (2016). https://doi.org/10.1007/978-3-319-42297-8_50
Ortiz-Ricardez, F.A., Sánchez, T., Moreno, J.A.: Smooth Lyapunov function and gain design for a second order differentiator. In: 2015 IEEE 54th Annual Conference on Decision and Control (CDC), pp. 5402–5407 (2015)
Moreno, J.A., Osorio, M.: A Lyapunov approach to second-order sliding mode controllers and observers. In: 2008 47th IEEE Conference on Decision and Control, pp. 2856–2861 (2008)
Armstrong, B., Khatib, O., Burdick, J.: The explicit dynamic model and inertial parameters of the PUMA 560 arm. In: Proceedings of 1986 IEEE International Conference on Robotics and Automation, vol. 3, pp. 510–518 (1986)
Levant, A.: Higher-order sliding modes, differentiation and output-feedback control. Int. J. Control 76(9–10), 924–941 (2003)
Acknowledgement
This research was supported by Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education (NRF2016R1D1A3B03930496).
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2019 Springer Nature Switzerland AG
About this paper
Cite this paper
Nguyen, VC., Vo, AT., Kang, HJ. (2019). Continuous PID Sliding Mode Control Based on Neural Third Order Sliding Mode Observer for Robotic Manipulators. In: Huang, DS., Huang, ZK., Hussain, A. (eds) Intelligent Computing Methodologies. ICIC 2019. Lecture Notes in Computer Science(), vol 11645. Springer, Cham. https://doi.org/10.1007/978-3-030-26766-7_16
Download citation
DOI: https://doi.org/10.1007/978-3-030-26766-7_16
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-030-26765-0
Online ISBN: 978-3-030-26766-7
eBook Packages: Computer ScienceComputer Science (R0)