Stability of robot manipulators under saturated PID compensation

IEEE Transactions on Control Systems Technology

Volumn 16, Issue 6, 2008, Pages 1333-1341

  Alvarez Ramirez, Jose ^a   Santibañez, Victor ^b   Campa, Ricardo ^b  

^a DEPARTAMENTO DE QUÍMICA   (Mexico)

^b INSTITUTO TECNOLÓGICO DE LA LAGUNA   (Mexico)

Author keywords

Bounded inputs; Proportional integral differential (PID) regulator; Robot control; Saturation functions; Stability analysis

Indexed keywords

ASYMPTOTIC STABILITY; FLEXIBLE MANIPULATORS; INDUSTRIAL ROBOTS; MANIPULATORS; MODULAR ROBOTS; ROBOT APPLICATIONS; ROBOTICS; ROBOTS; TWO TERM CONTROL SYSTEMS;

BOUNDED INPUTS; PROPORTIONAL-INTEGRAL DIFFERENTIAL (PID) REGULATOR; ROBOT CONTROL; SATURATION FUNCTIONS; STABILITY ANALYSIS;

PROPORTIONAL CONTROL SYSTEMS;

EID: 55349122942     PISSN: 10636536     EISSN: None     Source Type: Journal    
DOI: 10.1109/TCST.2008.917875     Document Type: Article

References (25)

1. J. Alvarez-Ramirez, R. Kelly, and I. Cervantes, "Semiglobal stability of saturated linear PID control for robot manipulators," Automatica vol. 39, pp. 989-995, 2003.
2. S. Arimoto, Control Theory of Non-Linear Mechanical Systems: A Passivity-Based and Circuit-Theoretic Approach. Oxford, U.K.: Oxford Univ. Press, 1996.
3. S. Arimoto and F. Miyasaki, "Stability and robustness of PID feedback control for robot manipulators of sensory capability," in Proc. 1st Int. Symp. Robot. Res., 1983, pp. 783-799.
4. S. Arimoto, T. Naniwa, and H. Suzuki, "Asymptotic stability and robustness of PID local feedback for position control of robot manipulators," in Proc. ICARCV, 1990, pp. 382-386.
5. S. Arimoto, "Fundamental problems of robot control: Part I. Innovation in the realm of robot servo-loops," Robotica, vol. 13, pp. 19-27, 1995.
6. I. V. Burkov, "Stabilization of mechanical systems via bounded control without velocity measurements," in Proc. 2nd Russian-Swedish Control Conf., 1995, pp. 37-41.
7. C. Cheah, S. Kawamura, S. Arimoto, and K. Lee, "PID control for robot manipulators with uncertain Jacobian matrix," in Proc. IEEE Int. Conf. Robot. Autom., 1999, pp. 494-499.
8. R. Colbaugh, E. Barany, and K. Glass, "Global regulation of uncertain manipulators using bounded controls," in Proc. IEEE Int. Conf. Robot. Autom., 1997, pp. 1148-1155.
9. W. E. Dixon, "Adaptive regulation of amplitude limited robot manipulators with uncertain kinematics and dynamics," IEEE Trans. Autom. Control, vol. 52, no. 3, pp. 488-493, Mar. 2007.
10. W. E. Dixon, M. S. de Queiroz, F. Zhang, and D. M. Dawson, "Tracking control of robot manipulators with bounded torque inputs," Robotica vol. 17, pp. 934-938, 1999.
11. J. Guckenheimer and P. Holmes, Nonlinear Oscillations, Dynamical Systems and Bifurcations of Vector Fields. New York: Springer, 1983.
12. F. Hoppensteadt, "Asymptotic stability in singular perturbation systems. II: Problems having matched asymptotic expansion solution," J. Differential Equations, vol. 15, pp. 510-521, 1974.
13. R. Kelly, "A tuning procedure for stable PID control of robot manipulators," Robotica, vol. 13, pt. 2, pp. 141-148, 1995.
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. R. Kelly, V. Santibañez, and A. Loria, Control of Robot Manipulators in Joint Space. London, U.K.: Springer, 2005.
16. M. Kircanski and N. Kircanski, "Resolved-rate and resolved-acceleration-based robot control in the presence of actuator's constraints," in Proc. IEEE Int. Conf. Robot. Autom., 1997, pp. 235-240.
17. A. Laib, "Adaptive output regulation of robot manipulators under actuator constraints," IEEE Trans. Robot. Autom., vol. 16, no. 1, pp. 29-35, Feb. 2000.
18. F. Reyes and R. Kelly, "Experimental evaluation of identification schemes on a direct-drive robot," Robotica, vol. 15, pp. 563-571, 1997.
19. V. Santibañez and R. Kelly, "A class of nonlinear PID global regulators for robot manipulators," in Proc. IEEE Int. Conf. Robot. Autom., 1998, pp. 3601-3606.
20. V. Santibañez, R. Kelly, and F. Reyes, "A new set-point controller with bounded torques for robot manipulators," IEEE Trans. Ind. Electron., vol. 45, no. 1, pp. 126-133, Feb. 1998.
21. M. Spong and M. Vidyasagar, Robot Dynamics and Control. New York: Wiley, 1989.
22. M. Takegaki and S. Arimoto, "A new feedback method for dynamic control of manipulators," ASME J. Dyn. Syst., Meas., Control, vol. 102, pp. 119-125, Jun. 1981.
23. V. M. Hernandez-Guzman, V. Santibañez, and R. Silva-Ortigoza, "A new tuning procedure for PID control of rigid robots," Advanced Robotics accepted for publication.
24. A. Zavala-Rio and V. Santibañez, "A natural saturating extension of the PD-with-desired-gravity-compensation control law for robot manipulators with bounded inputs," IEEE Trans. Robot., vol. 23, no. 2, pp. 386-391, Apr. 2007.
25. E. Zergeroglou, W. Dixon, A. Behal, and D. Dawson, "Adaptive set-point control of robot manipulators with amplitud-limited control inputs," Robotica, vol. 18, pp. 171-181, 2000.