Global PID Control of Robot Manipulators Equipped with PMSMs

This paper is concerned with PID position regulation of robot manipulators actuated by permanent magnet synchronous motors (PMSMs). We present a global asymptotic stability proof when the electric dynamics of these actuators is taken into account. Our controller is so simple that it differs from standard field oriented control (SFOC) of PMSMs in only three simple nonlinear terms that have to be added and a nonlinear PID controller which is used instead of a classical PID controller. Thus, our proposal represents the closest result to SFOC of PMSMs provided with a formal global asymptotic stability proof. We present an advancement, if modest, towards presenting a global stability proof for SFOC when used in robotics.

[1]  R. Kelly Global positioning of robot manipulators via PD control plus a class of nonlinear integral actions , 1998, IEEE Trans. Autom. Control..

[2]  Víctor Santibáñez,et al.  PID control of robot manipulators equipped with brushless DC motors , 2009, Robotica.

[3]  Y.-C. Chang,et al.  Robust tracking control for a class of uncertain electrically driven robots , 2009 .

[4]  Ouassima Akhrif,et al.  Speed tracking control of a permanent-magnet synchronous motor with state and load torque observer , 2000, IEEE Trans. Ind. Electron..

[5]  Gerardo Espinosa-Pérez,et al.  Global adaptive linear control of the permanent‐magnet synchronous motor , 2014 .

[6]  Romeo Ortega,et al.  Interconnection and damping assignment approach to control of PM synchronous motors , 2001, IEEE Trans. Control. Syst. Technol..

[7]  Fernando Reyes,et al.  Experimental evaluation of model-based controllers on a direct-drive robot arm , 2001 .

[8]  Rafael Kelly,et al.  A tuning procedure for stable PID control of robot manipulators , 1995, Robotica.

[9]  Victor Manuel Hernández-Guzmán,et al.  Improving performance of saturation-based PID controllers for rigid robots† , 2011 .

[10]  Roberto V. Carrillo-Serrano,et al.  PD control for robot manipulators actuated by switched reluctance motors , 2013, Int. J. Control.

[11]  Farshad Khorrami,et al.  Nonlinear adaptive control of direct-drive brushless DC motors and applications to robotic manipulators , 1999 .

[12]  Romeo Ortega,et al.  Passivity-based Control of Euler-Lagrange Systems , 1998 .

[13]  Peter C. Müller,et al.  Global Asymptotic Saturated PID Control for Robot Manipulators , 2010, IEEE Transactions on Control Systems Technology.

[14]  R. F. Escobar,et al.  Master-Slave Synchronization of Robot Manipulators Driven by Induction Motors , 2016, IEEE Latin America Transactions.

[15]  Víctor Santibáñez,et al.  A Natural Saturating Extension of the PD-With-Desired-Gravity-Compensation Control Law for Robot Manipulators With Bounded Inputs , 2007, IEEE Transactions on Robotics.

[16]  N. Hemati,et al.  Robust nonlinear control of brushless DC motors for direct-drive robotic applications , 1990 .

[17]  Darren M. Dawson,et al.  An adaptive tracking controller for a brushless DC motor with reduced overparameterization effects , 1994, Proceedings of 1994 33rd IEEE Conference on Decision and Control.

[18]  Alejandro Donaire,et al.  On the addition of integral action to port-controlled Hamiltonian systems , 2009, Autom..

[19]  M. M. Bridges,et al.  Adaptive control of rigid-link electrically-driven robots actuated with brushless DC motors , 1994, Proceedings of 1994 33rd IEEE Conference on Decision and Control.

[20]  J. Moreno-Valenzuela,et al.  On passivity-based control of a class of electrically driven robots , 2012, IECON 2012 - 38th Annual Conference on IEEE Industrial Electronics Society.

[21]  Peter C. Müller,et al.  Correction to "Global Asymptotic Saturated PID Control for Robot Manipulators" , 2015, IEEE Trans. Control. Syst. Technol..

[22]  Víctor Santibáñez,et al.  Windows-based real-time control of direct-drive mechanisms: platform description and experiments , 2004 .