Journal of Applied Nonlinear Dynamics
An Application to Robot Manipulator Joint Control by Using Fractional Order Approach
Journal of Environmental Accounting and Management 8(1) (2019) 55--66 | DOI:10.5890/JAND.2019.03.005
Cosmin Copot
University of Antwerp, Department of Electromechanics, Op3Mech Groenenborgerlaan 171, 2020 Antwerp, Belgium
Download Full Text PDF
Abstract
This paper presents the application of fractional-order control strategy for the velocity control of a manipulator robot joint. A wellknown approach for robot joint control is to use an independent controller for each joint axis with a nested structure: an outer loop
which computes the desired joint velocity in order to minimize the position error; and an inner loop which ensures the required velocity of the joint. A fractional-order controller was designed, tested and implemented on a manipulator robot. The communication between the robot and the controller was established via the Robotics System Toolbox fromMatlab® and the ROS (Robot Operating System) platform. The experimental results indicate that the flexibilities of the fractional-order PI controller allows it to outperform the conventional integer-order PI controller.
References
-
[1]  | Spong, M.W., Hutchinson, S, and Vidyasagar, M. (2006), Robot Modeling and Control, Wiley. |
-
[2]  | Bishop, R.H. (2002), The Mechatronics Handbook, CRC Press. |
-
[3]  | Steinbuch, M., Merry, R.J.E., Boerlage, M.L.G., Ronde, M.J.C. and van de Molengraft, M.J.G. (2010), Advanced Motion Control Design, In Levin, W.S. (Ed.), The Control Handbook, Control System Application, CRC Press. |
-
[4]  | Steinbuch, M, Schootstra, G. and Bosgra, O.H. (2000), Robust control of a compact disc mechanism, In W.S. Levine (Ed.), Control System Applications (pp. 231-237), London: CRC Press. |
-
[5]  | Åström, K.J., and Hägglund, T. (2006), Advanced PID control, ISA-The Instrumentation, Systems, and Automation Society. |
-
[6]  | Ferreira, N.M.F. and Machado, J.A.T. (2003), Fractional-order hybrid control of robotic manipulators, Proceedings of the 11th International Conference on Advanced Robotics, Coimbra, Portugal, 393-398. |
-
[7]  | Kailil, A., Mrani, N., Touati, M.M., Choukri, S. and Elalami, N. (2004), Low earth-orbit satellite attitude stabilization with fractional regulators, International Journal of Systems Science, 35(10), 559-568. |
-
[8]  | Padula, F. and Visioli, A. (2011), Tuning rules for optimal PID and fractional-order PID controllers, Journal of Process Control, 21, 69-81. |
-
[9]  | Dulf, E.H., Both, R., and Dumitrache, D.C. (2010), Fractional Order Models for a Cryogenic Separation Column, International IEEE International Conference on Automation, Quality and Testing, Robotics - AQTR, pp. 163-169, Cluj-Napoca. |
-
[10]  | Monje, C.A., Chen, Y., Vinagre, B., Xue, D., and Feliu, V. (2010), Fractional-order Systems and Controls, Fundamentals and Applications, Springer, London. |
-
[11]  | Copot, C., Burlacu, A., Ionescu, C.M., Lazar, C., and De Keyser, R. (2013), A Fractional Order Control Strategy for visual servoing Systems, Journal of Mechatronics, 23, 848-855. |
-
[12]  | Pop, C.I., Ionescu, C.M., De Keyser, R., and Dulf, E.H. (2012), Robustness evaluation of Fractional Order Control for Varying Time Delay Processes, Signal, Image and Video Processing, 6, 453-461. |
-
[13]  | Oustaloup, A. (1991), La commande CRONE: commande robust d'ordre non entiere, Hermes, Paris, France. |
-
[14]  | Vinagre, B.M., Monje, C.A., Calderon, A.J., and Suarez, J.I. (2007), Fractional PID controllers for industry application: a brief introduction, Journal of Vibration and Control, 13, 1419-1429. |
-
[15]  | Fan, H., Sun, Y., and Zhang, X. (2007), Research on fractional order controller in servo press control system, Proceedings of the 2007 IEEE International Conference on Mechatronics and Automation, Harbin, China, pp. 934-938. |
-
[16]  | Ma, C. and Hori, Y. (2004), Fractional order control and its application of controller for robust two-inertia speed control, Proceedings of the 4th International Power electronics and Motion Control Conference, 3, China, pp. 1477-1482. |
-
[17]  | Schlegel, M. and Cech, M. (2004), Fractal system identification for robust control, the moment approach, Proceedings of 5th International Carpathian Control Conference, Krakow, pp. 1-6. |
-
[18]  | Corke, P.I. (2011), Robotics, Vision & Control, Springer, ISBN 978-3-642-20143-1. |
-
[19]  | De Keyser R. and Ionescu C.M. (2006), FRtool: A frequency response tool for CACSD in Matlab, IEEE International Symposium on Computer Aided Control Systems Design, Munich, pp. 2275-C2280. |