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Passivity-Based Analysis for Partially Variable Nonlinear PID Controller for Robot Manipulators

Sifuentes Mijares Juan(1*), Meza Medina José Luis(2)

(1) División de Estudios de Posgrado e Investigación, Instituto Tecnológico de la Laguna, Torreón Coahuila México, CP. 27000., Mexico
(2) División de Estudios de Posgrado e Investigación, Instituto Tecnológico de la Laguna, Torreón Coahuila México, CP. 27000., Mexico
(*) Corresponding author


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Abstract


This paper presents a passivity-based analysis of a PID controller for robot manipulators where a theorem of interconnected passive systems is used to proof that the unique equilibrium of the system in closed loop is asymptotically stable in a global sense. The structure of the PID controller is formed by variable PD gains that improve system performance, allowing getting better transient responses, and a constant I gain. A controller with fixed gains is limited because it is not adaptable to new operation conditions. A system with variable PD gains and constant I gain is better because the gains are selected online and the integral gain avoid the necessity of calculate the gravity forces vector into the control law. As consequence variable PD gains and constant I gain make possible to obtain the most adequate torque output that get better response of the outputs. An evaluation in simulation to verify the theoretical results is realized
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Keywords


Passivity, PID Control, Variable Gains, Stability Analysis, Robot Control

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References


R. E. Brown, G. N. Maliotis, and J. A. Gibby, PID self-tuning controller for aluminium rolling mill, IEEE Transactions on Industrial Electronics, Vol. 29, no. 3, May/June 1993.

Darabadi, M.T., Danandeh, A., Hashemi, F., Hashemi, Y., Designing PID controller for wind energy conversion system using simulated annealing (SA), (2011) International Review on Modelling and Simulations (IREMOS), 4 (4), pp. 1746-1750.

Sabzehmeidani, Y., Mailah, M., Hussein, M., Gatavi, E., Md Zain, M.Z., A hybrid fuzzy-based robust controller for pneumatically actuated micro robot, (2010) International Review on Modelling and Simulations (IREMOS), 3 (6), pp. 1308-1316.

Dhanalakshmi, R., Palaniswami, S., Adaptive gain scheduling Fuzzy logic PID controller in load frequency control of wind diesel micro hydro isolated hybrid power system, (2011) International Review on Modelling and Simulations (IREMOS), 4 (6), pp. 3327-3336.

Ibrahim, H.E.A., Elnady, M.A., A comparative study of PID, fuzzy, fuzzy-PID, PSO-PID, PSO-fuzzy, and PSO-fuzzy-PID controllers for speed control of DC motor drive, (2013) International Review of Automatic Control (IREACO), 6 (4), pp. 393-403.

Ćalasan, M.P., Dlabač, T.M., Ostojić, M.M., Pid parameters determination of synchronous machine AVR system, (2013) International Review of Automatic Control (IREACO), 6 (4), pp. 425-430.

R. Kelly, R. Carelli, A class of Nonlinear PD-Type Controllers for Robot Manipulators, Journal Robotic Systems, pp. 794–802, 1996.

R. Kelly, R. Haber, R. E. Haber and F. Reyes, Lyapunov stable control of robot manipulators: A fuzzy self-tuning procedure, Intelligent Automation and Soft Computing, vol. 5, no. 4, pp. 313-326, 1999.

R. Kelly, & R. Ortega, Adaptive control of robot manipulators: an input– output approach. IEEE International Conference on Robotics and Automation, Philadelphia, PA., 1988.

I. D. Landau, & R. Horowitz, Synthesis of adaptive controllers for robot manipulators using a Passive feedback system approach, IEEE International Conference on Robotics and Automation, Philadelphia, PA., 1988.

R. Ortega, & M. Spong, Adaptive motion control of rigid robots: a tutorial, Automatica, Vol. 25, No. 6, pp. 877–888, 1989.

S. Arimoto, and F. Miyazaki, Stability and robustness of PD feedback control with gravity compensation for robot manipulator, Robotics, Theory and Applications, pp. 67-72, 1986.

M. Takegaki, & S. Arimoto, A new feedback method for dynamic control of manipulators, ASME Journal of Dynamic Systems, Measurement, and Control, Vol. 103, pp. 119–125, 1981.

J.L. Meza, V. Santibáñez & V. Hernández, Saturated nonlinear PID global regulator for robot manipulators: Passivity based analysis. Proceedings of the 16th IFAC World Congress, Prague, Czech Republic, 2005.

J.L. Meza, V. Santibáñez, Rogelio Soto, Jose Perez and Joel Perez, Analysis via Passivity Theory of a Class of Nonlinear PID Global Regulators for Robot Manipulators, Advances in PID Control,( INTECH, 2011, pp. 43-64).

A. Miguel Llama, V. Santibáñez, J. Flores, A passivity based stability analysis for a fuzzy PD+ control for robot manipulators, Fuzzy Information Processing Society, NAFIPS. 18th International Conference of the North American, pp. 665 – 669, 1999.

M. Spong, S. Hutchinson and M. Vidyasagar, Robot Modeling and Control, (John Wiley and Sons, 2006).

D. Koditschek, Natural motion for robot arms, Proc. IEEE Conference on Decision and Control, Las Vegas, NV, 733-735, 1984.

R. Kelly, V. Santibáñez and Loría, Control of Robot Manipulators in Joint Space, (Springer, Berlin, 2005).

P. Tomei, Adaptive PD controller for robot manipulators, IEEE Transactions on Robotics and Automation, 7(4), 565-570, 1991.

J. Orrante, V. Santibáñez, V. Hernandez, New Tuning Conditions for a Class of Nonlinear PID Global Regulator of Robot Manipulators. National Conference AMCA 2012, Mexico.

H. K. Khalil, Nonlinear Systems, (3rd Edn. Prentice Hall, Englewood Cliffs, NJ, 2002)

V. Santibáñez, R. Kelly, A class of nonlinear PID global regulators for robot manipulators, Proceedings IEEE International Conference on Robotics and Automation, Bélgica, pp. 3601–3606, 1998.

F. Reyes, R. Kelly, Experimental evaluation model - based controllers on a direct-drive robot arm, Mechatronics, Vol. 11, pp. 206-282, 2001.


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