A stable transition controller for constrained robots

This paper addresses the problem of contact transition from free motion to constrained motion for robots. Stability of transition from free motion to constrained motion is essential for successful operation of a robot performing general tasks such as surface following and surface finishing. Uncertainty in the location of the constraint can cause the robot to impact the constraint surface with a nonzero velocity, which may lead to bouncing of the robot end-effector on the surface. A new stable discontinuous transition controller is proposed to deal with contact transition problem. This discontinuous transition control algorithm is used when switching from free motion to constrained motion. Control algorithm for a complete robot task is developed. Extensive experiments with the proposed control strategy were conducted with different levels of constraint uncertainty and impact velocities. Experimental results show much improved transition performance and force regulation with the proposed controller. Details of the experimental platform and typical experimental results are given.

[1]  W. Goldsmith,et al.  Impact: the theory and physical behaviour of colliding solids. , 1960 .

[2]  Charles E. Smith Predicting Rebounds Using Rigid-Body Dynamics , 1991 .

[3]  B. Brogliato,et al.  On the control of finite-dimensional mechanical systems with unilateral constraints , 1997, IEEE Trans. Autom. Control..

[4]  Jean-Jacques E. Slotine,et al.  Computational algorithms for adaptive compliant motion , 1989, Proceedings, 1989 International Conference on Robotics and Automation.

[5]  Suguru Arimoto,et al.  Control Theory of Nonlinear Mechanical Systems , 1996 .

[6]  Neville Hogan,et al.  Impedance Control: An Approach to Manipulation: Part I—Theory , 1985 .

[7]  Prabhakar R. Pagilla,et al.  Design and experimental evaluation of a stable transition controller for geometrically constrained robots , 2000, Proceedings 2000 ICRA. Millennium Conference. IEEE International Conference on Robotics and Automation. Symposia Proceedings (Cat. No.00CH37065).

[8]  Kamal Youcef-Toumi,et al.  Impact and Force Control: Modeling and Experiments , 1994 .

[9]  James K. Mills,et al.  Stability and control of robotic manipulators during contact/noncontact task transition , 1993, IEEE Trans. Robotics Autom..

[10]  Yuan F. Zheng,et al.  Mathematical modeling of a robot collision with its environment , 1985, J. Field Robotics.

[11]  Weiping Li,et al.  Applied Nonlinear Control , 1991 .

[12]  Antonio Tornambè,et al.  Modeling and control of impact in mechanical systems: theory and experimental results , 1999, IEEE Trans. Autom. Control..

[13]  Richard Volpe,et al.  A theoretical and experimental investigation of explicit force control strategies for manipulators , 1993, IEEE Trans. Autom. Control..

[14]  Thomas B. Sheridan,et al.  The fundamental concepts of robust compliant motion for robot manipulators , 1986, Proceedings. 1986 IEEE International Conference on Robotics and Automation.

[15]  B. Brogliato Nonsmooth Impact Mechanics: Models, Dynamics and Control , 1996 .

[16]  V. V. Kozlov,et al.  Billiards: A Genetic Introduction to the Dynamics of Systems with Impacts , 1991 .

[17]  J. Keller Impact With Friction , 1986 .

[18]  R. Brach,et al.  Mechanical Impact Dynamics: Rigid Body Collisions , 1991 .

[19]  Ning Xi,et al.  Force regulation and contact transition control , 1996 .

[20]  J. Willems,et al.  The contact problem for linear continuous-time dynamical systems: a geometric approach , 1997, IEEE Trans. Autom. Control..

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

[22]  M. Tomizuka,et al.  Contact Transition Control of Nonlinear Mechanical Systems Subject to Unilateral Constraints , 1996, Dynamic Systems and Control.

[23]  Johannes Schumacher,et al.  An Introduction to Hybrid Dynamical Systems, Springer Lecture Notes in Control and Information Sciences 251 , 1999 .

[24]  Tsuneo Yoshikawa,et al.  Dynamic hybrid position/force control of robot manipulators--Description of hand constraints and calculation of joint driving force , 1986, IEEE Journal on Robotics and Automation.

[25]  Suguru Arimoto,et al.  Adaptive model-based hybrid control of geometrically constrained robot arms , 1997, IEEE Trans. Robotics Autom..

[26]  A. J. van der Schaft,et al.  Complementarity modeling of hybrid systems , 1998, IEEE Trans. Autom. Control..

[27]  D. Wang,et al.  Position and force control for constrained manipulator motion: Lyapunov's direct method , 1993, IEEE Trans. Robotics Autom..