Real-time Fuzzy Fractional-Order Control of Electrically Driven Flexible-Joint Robots

Document Type : Research Article

Authors

1 Department of Electrical Engineering, Garmsar branch, Islamic Azad University, Garmsar, Iran

2 Department of Electrical Engineering, University of Birjand, Birjand, Iran

Abstract

Fractional order control of electrically driven flexible-joint robots has been addressed in this paper. The controller design strategy is based on the actuators' electrical subsystem considering to voltage saturation nonlinearity. Hence, the knowledge of the actuator/robot dynamics model is not required as it is for many other control strategies. The overall closed-loop system is proven to be stable and the joint position tracking error is uniformly bounded based on the Lyapunov’s stability concept. The satisfactory performance of the proposed control scheme is verified by experimental results.

Keywords

Main Subjects


[1]Ozgoli,S., and Taghirad, H. D., 2006, "A survey on the control of flexible joint robots". Asian Journal of Control, 8 (4), pp. 332-344.
[2]Jiang, Z. H., Shinohara, K., 2016, "Workspace trajectory tracking control of flexible joint robots based on backstepping method", In Region 10 Conference (TENCON), pp. 3473-3476 (2016).
[3]Kim, M. J., Chung, W. K., 2015, "Disturbance-observer-based PD control of flexible joint robots for asymptotic convergence", 2015, IEEE Transactions on Robotics, 31(6), pp. 1508-1516.
[4]Ulrich, S., Sasiadek, J. Z., Barkana, I., 2014, "Nonlinear adaptive output feedback control of flexible-joint space manipulators with joint stiffness uncertainties". Journal of Guidance, Control, and Dynamics.
[5]Schindlbeck, C., Haddadin, S., 2015, "Unified passivity-based cartesian force/impedance control for rigid and flexible joint robots via task-energy tanks". IEEE International Conference on Robotics and Automation, pp. 440-447.
[6]Wang, X., Li, H., Wang, Y., Hua, J., 2014, "Adaptive backstepping control of flexible joint robots with friction compensation based on LuGre model". The 26th Chinese Control and Decision Conference, pp. 1484-1489.
[7]Avila-Becerril, S., Loría, A., Panteley, E., 2016, "Global position-feedback tracking control of flexible-joint robots", American Control Conference, pp. 3008-3013.
[8]Izadbakhsh, A, and Masoumi, M., 2017, "FAT-based robust adaptive control of flexible-joint robots: singular perturbation approach". Annual IEEE Industrial Society's 18th International Conf. on Industrial Technology, pp. 803-808.
[9]Ding, Y., & Xiao, X., 2016, "Speed control and resonance suppression of flexible joint system based on singular perturbation method and Kalman filter", 42nd IEEE Annual Conference of the Industrial Electronics Society, pp. 631-635.
[10]Makarov, M., Grossard, M., Rodriguez-Ayerbe, P., Dumur, D., 2014, "Comparison of two robust predictive control strategies for trajectory tracking of flexible-joint robots". IEEE/ASME International Conference on Advanced Intelligent Mechatronics, pp. 1704-1709.
[11]Li, Y., Tong, S., Li, T., 2013, "Adaptive fuzzy output feedback control for a single-link flexible robot manipulator driven DC motor via backstepping". Nonlinear Analysis: Real World Applications, 14(1), pp. 483-494.
[12]Chaoui, H., Gueaieb, W., Biglarbegian, M., Yagoub, M. C., 2013, "Computationally efficient adaptive type-2 fuzzy control of flexible-joint manipulators. Robotics, 2(2), pp. 66-91.
[13]Rsetam, K., Cao, Z., Man, Z., 2016, "Hierarchical sliding mode control applied to a single-link flexible joint robot manipulator". International Conference on Advanced Mechatronic Systems, pp. 476-481.
[14]Miao, Z., Wang, Y., 2013, "Robust dynamic surface control of flexible joint robots using recurrent neural networks". Journal of Control Theory and Applications, 11(2), pp. 222-229.
[15]Agee, J. T., Bingul, Z., Kizir, S., 2015, "Higher-order differential feedback control of a flexible-joint manipulator". Journal of Vibration and Control, 21(10), pp. 1976-1986.
[16]Fateh, M. M., 2012, "Robust control of flexible-joint robots using voltage control strategy". Nonlinear Dynamic. 67, pp. 1525-1537.
[17]Fateh, M. M., 2012, "Nonlinear control of electrical flexible-joint robots". Nonlinear Dynamic. 67, pp. 2549-2559.
[18]Izadbakhsh, A., and Fateh, M. M, 2014, "Robust Lyapunov-based control of flexible-joint robots using voltage control strategy", Arabian journal for science and Engineering. 39, pp. 3111-3121.
[19]Fateh, M.M., and Souzanchikashani., 2015, "Indirect adaptive fuzzy control for flexible-joint robot manipulators using voltage control strategy". Journal of Intelligent & Fuzzy Systems, 28, pp. 1451-1459.
[20]Izadbakhsh, A., 2016, "Robust control design for rigid-link flexible-joint electrically driven robot subjected to constraint: theory and experimental verification", Nonlinear Dynamic, 85, pp. 751-765.
[21]Izadbakhsh, A., Akbarzadeh Kalat, A., Fateh, M. M., and Rafiei. S.M.R., 2011, "A robust Anti-Windup control design for electrically driven robots-Theory and Experiment". International Journal of Control. Automation, and Systems, 9, pp. 1005-1012.
[22]Izadbakhsh, A., and Fateh, M. M., 2014, "Real-time Robust Adaptive control of Robots Subjected to Actuator Voltage Constraint". Nonlinear Dynamics. 78, pp. 1999-2014.
[23]Khorashadizadeh, S., and Majidi, M. H., 2017, “Synchronization of two different chaotic systems using Legendre polynomials with application to secure communications.” Frontiers of Information Technology & Electronic Engineering. doi: 10.1631/FITEE.1601814.
[24]Izadbakhsh, A., and Khorashadizadeh, S., 2017, “Robust impedance control of robot manipulators using differential equations as universal approximator.” International Journal of Control, 1-17.
[25]Khorashadizadeh, S., & Majidi, M. H., 2017,“Chaos synchronization using the Fourier series expansion with application to secure communications.”AEU-International Journal of Electronics and Communications, 82, 37-44.
[26]Gupta, M., Jin, L., Homma, N., 2004, Static and dynamic neural networks: from fundamentals to advanced theory. John Wiley & Sons.
[27]Yin, S., Shi, P., Yang, H., 2016, "Adaptive fuzzy control of strict-feedback nonlinear time-delay systems with unmodeled dynamics", IEEE transactions on cybernetics, 46(8), pp. 1926-1938.
[28]Chen, B., Lin, C., Liu, X., Liu, K., 2016, "Observer-based adaptive fuzzy control for a class of nonlinear delayed systems", IEEE Transactions on Systems, Man, and Cybernetics: Systems, 46 (1), pp. 27-36.
[29]Zhou, Q., Li, H., Wu, C., Wang, L., Ahn, C. K., 2017, "Adaptive fuzzy control of nonlinear systems with unmodeled dynamics and input saturation using small-gain approach". IEEE Transactions on Systems, Man, and Cybernetics: Systems.
[30]Aguils-Camacho, N., Duarte-Mermoud, M. A., and Gallegos, J. A., 2014, "Lyapunov functions for fractional order systems". Commun Nonlinear Sci Numer Simulat, 19, pp. 2951-2957.
[31]A. Izadbakhsh, A., 2017, "A note on the "nonlinear control of electrical flexible-joint robots", Nonlinear Dynamics, 89, pp. 2753-2767.
[32]Izadbakhsh, A., 2017, "Robust adaptive control of voltage saturated flexible joint robots with experimental evaluations". AUT Journal of Modeling, and simulation, DOI: 10.22060/miscj.2017.12174.5008.
[33]Duarte-Mermoud, M. A., Aguils-Camacho, N., Gallegos, J. A., and Castro-Linares, R., 2015, "Using general quadratic Lyapunov functions to prove Lyapunov uniform stability for fractional order systems", Commun Nonlinear Sci Numer Simulat, 22, pp. 650-659.
[34]Ahmed, E., El-Sayed, A.M.A., El-Saka, Hala A. A., 2006, "On some Routh-Hurwitz conditions for fractional order differential equations and their applications in Lorenz, Rossler, Chua and Chen Systems". PHYSICS LETTERS A, 358, pp. 1-4.
[35]Moreno-Valenzuela, J., Campa, R., and Santibáñez, V., 2013, "Model-based control of a class of voltage-driven robot manipulators with non-passive dynamics", Computers & Electrical Engineering. 39, pp. 2086-2099.
[36]Podlubny, I., Vinagre, B. M., O'Leary, P., and Dorcak, L. 2002, Analogue realization of fractional-order controllers, nonlinear dynamics, vol. 29, pp. 281-296.