Global asymptotic saturated PID control for robot manipulators

IEEE Transactions on Control Systems Technology

Volumn 18, Issue 6, 2010, Pages 1280-1288

  Su, Yuxin ^a   Muller, Peter C ^b   Zheng, Chunhong ^a  

^a XIDIAN UNIVERSITY   (China)

^b UNIVERSITY OF WUPPERTAL   (Germany)

Author keywords

Actuator saturation; asymptotic stability; bounded control; global stability; proportionalintegralderivative (PID) control; robot control

Indexed keywords

ACTUATOR SATURATIONS; BOUNDED CONTROL; GLOBAL STABILITY; PROPORTIONALINTEGRALDERIVATIVE (PID) CONTROL; ROBOT CONTROL;

ACTUATORS; ASYMPTOTIC STABILITY; FLEXIBLE MANIPULATORS; INDUSTRIAL ROBOTS; MODULAR ROBOTS; ROBOT APPLICATIONS; THREE TERM CONTROL SYSTEMS; VELOCITY MEASUREMENT;

ASYMPTOTIC ANALYSIS;

EID: 78049320272     PISSN: 10636536     EISSN: None     Source Type: Journal    
DOI: 10.1109/TCST.2009.2035924     Document Type: Article

References (29)

1. J. Alvarez-Ramirez, R. Kelly, and I. Cervantes, "Semiglobal stability of saturated linear PID control for robot manipulators," Automatica, vol. 39, no. 6, pp. 989-995, 2003.
2. S. Arimoto, Control Theory of Non-Linear Mechanical Systems: A Passivity-based and Circuit-theoretic Approach. Oxford, U.K.: Clarendon Press, 1996.
3. B. S. R. Armstrong, J. A. Gutierrez, B. A. Wade, and R. Joseph, "Stability of phase-based gain modulation with designer-chosen switch functions," Int. J. Robot. Res., vol. 25, no. 8, pp. 781-796, 2006.
4. L. Bascetta and P. Rocco, "Revising the robust control design for rigid robot manipulators," in Proc. IEEE Int. Conf. Robot. Autom., Rome, Italy, 2007, pp. 4478-4483.
5. H. Berghuis and H. Nijmeijer, "Global regulation of robots using only position measurements," Syst. Control Lett., vol. 21, no.4, pp. 289-293, 1993.
6. D. S. Bernstein and A. N. Michel, "A chronological bibliography on saturating actuators," Int. J. Robust Nonlinear Control, vol. 5, no. 5, pp. 375-380, 1995.
7. I. V. Burkov, "Stabilization of mechanical systems via bounded control and without velocity measurement," in Proc. 2nd Russian-Swedish Control Conf., St. Petersburg, Russia, 1995, pp. 37-41.
8. R. Colbaugh, E. Barany, and K. Glass, "Global regulation of uncertain manipulators using bounded controls," in Proc. IEEE Conf. Robot. Autom., Albuquerque, NM, 1997, pp. 1148-1155.
9. R. Gorez, "Globally stable PID-like control of mechanical systems," Syst. Control Lett., vol. 38, no. 1, pp. 61-72, 1999.
10. R. Gunawardana and E. Ghorbel, "On the boundedness of the hessian of the potential energy of robot manipulators," J. Robot. Syst., vol. 16, no. 11, pp. 613-625, 1999.
11. Y. Hong and B. Yao, "A globally stable saturated desired compensation adaptive robust control for linear motor systems with comparative experiments," Automatica, vol. 43, no. 10, pp. 1840-1848, 2007. (Pubitemid 47374639)
12. J. Kasac, B. Novakovic, D. Majetic, and D. D. Brezak, "Global positioning of robot manipulators with mixed revolute and prismatic joints," IEEE Trans. Autom. Control, vol. 51, no. 6, pp. 1035-1040, Jun. 2006.
13. R. Kelly and V. Santibanez, "A class of global regulators with bounded control actions for robot manipulators," in Proc. IEEE Conf. Decision Control, 1996, pp. 3382-3387.
14. R. Kelly, "Global positioning of robot manipulators via PD control plus a class of nonlinear integral actions," IEEE Trans. Autom. Control, vol. 43, no. 7, pp. 934-938, Jul. 1998.
15. H. K. Khalil, Nonlinear Systems, 3rd ed. Upper Saddle River, NJ: Prentice-Hall, 2002.
16. A. Laib, "Adaptive output regulation of robot manipulators under actuator constraints," IEEE Trans. Robot. Autom., vol. 16, no. 1, pp. 29-35, Feb. 2000.
17. F. L. Lewis, D. M. Dawson, and C. T. Abdallah, Robot Manipulator Control: Theory and Practice. New York: Marcel Dekker, 2004.
18. A. Loria, R. Kelly, R. Ortega, and V. Santibanez, "On global output feedback regulation of Euler-Lagrange systems with bounded inputs," IEEE Trans. Autom. Control, vol. 42, no. 8, pp. 1138-1143, Aug. 1997.
19. F. Morabito, A. R. Teel, and L. Zaccarian, "Nonlinear antiwindup applied to Euler-Lagrange systems," IEEE Trans. Robot. Autom., vol. 20, no. 3, pp. 526-537, Jun. 2004.
20. Y. Orlov, J. Alvarez, L. Acho, and L. Aguilar, "Global position regulation of friction manipulators via switched chattering control," Int. J. Control, vol. 76, no. 14, pp. 1446-1452, 2003.
21. V. Parra-Vega, S. Arimoto, Y. H. Liu, G. Hirzinger, and P. Akella, "Dynamic sliding PID control for tracking of robot manipulators: Theory and experiments," IEEE Trans. Robot. Autom., vol. 19, no. 6, pp. 967-976, Dec. 2003.
22. P. Rocco, "Stability of PID control for industrial robot arms," IEEE Trans. Robot. Autom., vol. 12, no. 4, pp. 606-614, Aug. 1996.
23. A. Saberi, Z. L. Lin, and A. R. Teel, "Control of linear systems with saturating actuators," IEEE Trans. Autom. Control, vol. 41, no. 3, pp. 368-378, Mar. 1996.
24. V. Santibanez, R. Kelly, A. Zavala-Rio, and P. Parada, "A new saturated nonlinear PID global regulator for robot manipulators," in Proc. 17th World Congr., Seoul, Korea, Jul. 2008, pp. 11690-11695.
25. L. Sciavicco and B. Siciliano, Modeling and Control of Robot Manipulators, 2nd ed. London, U.K.: Springer-Verlag, 2000.
26. Y. X. Su, D. Sun, L. Ren, and J. K. Mills, "Integration of saturated PI synchronous control and PD feedback for control of parallel manipulators," IEEE Trans. Robot., vol. 22, no. 1, pp. 202-207, Feb. 2006. (Pubitemid 43245270)
27. Y. X. Su, P. C. Müller, and C. H. Zheng, "A global asymptotic stable output feedback PID regulator for robot manipulators," in Proc. IEEE Int. Conf. Robot. Autom., Rome, Italy, 2007, pp. 4484-4489.
28. A. Zavala-Rio and V. Santibanez, "Simple extensions of the PD-with-desired-gravity-compensation control law for robot manipulators with bounded inputs," IEEE Trans. Control Syst. Technol., vol. 14, no. 5, pp. 958-965, Sep. 2006.
29. E. Zergeroglu, W. Dixon, A. Behal, and D. M. Dawson, "Adaptive set-point control of robotic manipulators with amplitude-limited control inputs," Robotica, vol. 18, no. 2, pp. 171-181, 2000.