Fractional-order hybrid control of robot manipulators

In this paper it is studied the implementation of fractional-order algorithms in the position/force hybrid control of robotic manipulators. The system robustness and performances are analysed, in terms of time responses, and compared with other control approaches. Moreover, it is also investigated the effect of nonlinear phenomena at the robot joints such as nonlinear friction, dynamic backlash and flexibility.

[1]  Pradeep K. Khosla,et al.  Computational considerations in the implementation of force control strategies , 1994, J. Intell. Robotic Syst..

[2]  Darren M. Dawson,et al.  Experimental results for a robust position and force controller implemented on a direct drive robot , 1995, Robotica.

[3]  Joris De Schutter,et al.  Specification of force-controlled actions in the "task frame formalism"-a synthesis , 1996, IEEE Trans. Robotics Autom..

[4]  I. Podlubny.  Fractional-order systems and PIλDμ-controllers , 1999, IEEE Trans. Autom. Control..

[5]  Carlos Canudas de Wit,et al.  A survey of models, analysis tools and compensation methods for the control of machines with friction , 1994, Autom..

[6]  V. Utkin.  Variable structure systems with sliding modes , 1977 .

[7]  Bruno Siciliano,et al.  A force/position regulator for robot manipulators without velocity measurements , 1996, Proceedings of IEEE International Conference on Robotics and Automation.

[8]  Steven Dubowsky,et al.  The Dynamic Modeling of Flexible Spatial Machine Systems With Clearance Connections , 1987 .

[9]  O. Marichev,et al.  Fractional Integrals and Derivatives: Theory and Applications , 1993 .

[10]  K. B. Oldham,et al.  The Fractional Calculus: Theory and Applications of Differentiation and Integration to Arbitrary Order , 1974 .

[11]  J.A. Tenreiro Machado,et al.  Dynamic analysis in variable structure position/force hybrid control of manipulators , 1997, 1997 IEEE International Conference on Systems, Man, and Cybernetics. Computational Cybernetics and Simulation.

[12]  José António Tenreiro Machado,et al.  Variable structure control of robots with nonlinear friction and backlash at the joints , 1996, Proceedings of IEEE International Conference on Robotics and Automation.

[13]  William D. Fisher,et al.  Sufficient stability condition for hybrid position/force control , 1992, Proceedings 1992 IEEE International Conference on Robotics and Automation.

[14]  John J. Craig,et al.  Hybrid position/force control of manipulators , 1981 .

[15]  Kar-Keung D. Young.  Controller Design for a Manipulator Using Theory of Variable Structure Systems , 1978, IEEE Transactions on Systems, Man, and Cybernetics.

[16]  J. Machado.  Analysis and design of fractional-order digital control systems , 1997 .

[17]  T. S. Sankar,et al.  Vibro-Impact Analysis of Control Systems With Mechanical Clearance and Its Application to Robotic Actuators , 1986 .

[18]  Oussama Khatib,et al.  A unified approach for motion and force control of robot manipulators: The operational space formulation , 1987, IEEE J. Robotics Autom..