Robust Adaptive Control of Voltage Saturated Flexible Joint Robots with Experimental Evaluations

Document Type : Research Article

Author

Department of Electrical Engineering, Garmsar Branch, Islamic Azad University, Garmsar, Iran

Abstract

This paper is concerned with the problem of designing and implementing a robust adaptive control strategy for the flexible joint electrically driven robots (FJEDR) while considering the constraints on the actuator voltage input. The control design procedure is based on the function approximation technique, to avoid saturation besides being robust against both structured and unstructured uncertainties associated with external disturbances and un-modeled dynamics. Stability proof of the overall closed-loop system is given via the Lyapunov direct method. The analytical studies as well as experimental results obtained using MATLAB/SIMULINK external mode control on a single-link flexible joint electrically driven robot, demonstrate a high performance of the proposed control schemes.

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References

[1] A. Izadbakhsh, A. Akbarzadeh Kalat, M.M. Fateh, S.M.R. Rafiei, A robust Anti-Windup control design for electrically driven robots-Theory and Experiment, International Journal of Control. Automation, and Systems, 9(5) (2011) 1005-1012.
[2] A. Izadbakhsh. Robust control design for rigid-link flexible-joint electrically driven robot subjected to constraint: theory and experimental verification, Nonlinear Dynamics, 85(2) (2016) 751-765.
[3] W. Gao, R.R. Selmic, Neural Network Control of a Class of Nonlinear Systems with Actuator Saturation, IEEE Transactions on Neural Networks, 17(1) (2006) 147-156.
[4] W. Peng, Z. Lin, J. Su, Computed torque control-based composite nonlinear feedback controller for robot manipulators with bounded torques, IET Control Theory and Applications, 3(6) (2009) 701–711.
[5] A. Z-Rio, V. Santibanez, Simple extensions of the PD with gravity compensation control law for robot manipulators with bounded inputs, IEEE Transactions on Control Systems Technology, 14(5) (2006) 958-965.
[6] A. Z-Rio, V. Santibanez, A natural saturating extension of the PD with desired gravity compensation control law for robot manipulators with bounded inputs, IEEE Transactions on Robotics, 23(2) (2007) 386-391.
[7] E. Aguinaga-Ruiz, A. Zavala-Rio, V. Santibanez, F. Reyes, Global trajectory tracking through static feedback for robot manipulators with bounded Inputs, IEEE Transactions on Control Systems Technology, 17(4) (2009) 934-944.
[8] J. A. Ramirez, V. Santibanez, R. Campa, Stability of robot manipulators under Saturated PID compensation, IEEE Transactions on Control Systems Technology, 16(6) (2008) 1333-1341.
[9] V. Santibanez, K. Camarillo, J. M. Valenzuela, R. Campa, A practical PID regulator with bounded torques for robot manipulators, International Journal of Control, Automation, and Systems, 8(3) (2010) 544-555.
[10] A. Izadbakhsh, M. M. Fateh, Robust Lyapunov-based control of flexible-joint robots using voltage control strategy, Arabian journal for science and Engineering, 39(4) (2014) 3111-3121.
[11] W. P. Li, B. Luo, H. Huang, Active vibration control of Flexible Joint Manipulator using Input Shaping and Adaptive Parameter Auto Disturbance Rejection Controller, Journal of Sound and Vibration, 363(17) (2016) 97–125.
[12] A. M. Annaswamy, J. E. Wong, Adaptive control in the presence of saturation nonlinearity, International Journal of Adaptive Control and Signal Processing, 11(1) (1997) 3-19.
[13] S. Purwar, I. N. Kar, A. N.Jha, Adaptive control of robot manipulators using fuzzy logic systems under actuator constraints, Fuzzy Sets and Systems, 152(3) (2005) 651- 664.
[14] R. J. Caverly, D. E. Zlotnik, L. J. Bridgeman, J. R. Forbes, Saturated proportional derivative control of flexible-joint manipulators, Robotics and Computer- Integrated Manufacturing, 30(6) (2014) 658–666.
[15] R. J. Caverly, D. E. Zlotnik, J. R. Forbes, Saturated control of flexible-joint manipulators using a Hammerstein strictly positive real compensator, Robotica, 34(6) (2016) 1367-1382.
[16] W. E. Dixon, Adaptive regulation of amplitude limited for robot manipulators with uncertain kinematics and dynamics, IEEE Transactions on Automatic Control, 52(3) (2007) 488-493.
[17] Z. Liu, J. Liu, W. He, Partial differential equation boundary control of a flexible manipulator with input saturation, International Journal of Systems Science, 48(1) (2017) 53-62.
[18] A. Izadbakhsh, M. Masoumi, FAT-based robust adaptive control of flexible-joint robots: singular perturbation approach, IEEE Industrial Society’s 18th International Conference on Industrial Technology (ICIT), 2017, pp. 803-808.
[19] Z. Qu, D. M. Dawson, Robust tracking control of robot manipulators, IEEE Press, Inc., New York, 1996.
[20] K. S. Narendra, A. M. Annaswamy, Stable adaptive systems, Prentice Hall, Engle wood cliffs, NJ, 1989.
[21] W. Gao. R-R. Selmic, Adaptive Neural Network output feedback Control of Nonlinear Systems with Actuator Saturation, 44th IEEE Conference on Decision and Control, 2005, pp. 5522-5527.
[22] A. Izadbakhsh, M. M. Fateh, Real-time robust adaptive control of robots subjected to actuator voltage constraint, Nonlinear Dynamics, 78(3) (2014) 1999-2014.
[23] An-ch. Huang, M-Ch. Chen, Adaptive control of robot manipulators-A unified regressor free approach, World scientific, 2010.
[24] A. Izadbakhsh, Closed-form dynamic model of Puma560 robot arm, Proceedings of the 4th International Conf. on Autonomous Robots and Agents, 2009, pp. 675- 680.
[25] A. Izadbakhsh, A note on the nonlinear control of electrical flexible-joint robots, Nonlinear Dynamics, 89(4) (2017) 2753-2767.
AUT Journal of Modeling and Simulation
Volume 50, Issue 1
June 2018
Pages 31-38

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