STATE-PERIODIC ADAPTIVE FRICTION COMPENSATION

Abstract This paper focuses on the adaptive friction compensation, where the friction is considered as a position-dependent disturbance. We consider the case when the desired trajectory is state (e.g., position) periodical which is of course also time periodical. The key idea of our approach is to use one trajectory past information along the state axis to update the current adaptation since the friction is state-periodic. The new method consists of two main steps: Firstly, in the first repetitive trajectory, an adaptive compensator is designed to guarantee the l 2 - stability of the overall system; and secondly, from the second repetitive trajectory and onwards, a state-periodic adaptive compensator is designed based on stored past state-dependent information. Rigorous stability analysis is presented with a simulation example.

[1]  T. Zhang,et al.  Comments on "An exponentially stable adaptive friction compensator" , 2001, IEEE Trans. Autom. Control..

[2]  Bernard Friedland,et al.  On the Modeling and Simulation of Friction , 1990, 1990 American Control Conference.

[3]  Ilya V. Burkov,et al.  Active damping of engine speed oscillations based on learning control , 1998, Proceedings of the 1998 American Control Conference. ACC (IEEE Cat. No.98CH36207).

[4]  Carlos Canudas de Wit,et al.  Adaptive Friction Compensation in Robot Manipulators: Low Velocities , 1989, Proceedings, 1989 International Conference on Robotics and Automation.

[5]  B. Friedland,et al.  On adaptive friction compensation without velocity measurement , 1992, [Proceedings 1992] The First IEEE Conference on Control Applications.

[6]  S. S. Nair,et al.  Low velocity friction compensation , 1998 .

[7]  F.R. Rubio,et al.  Gain-scheduling control of systems with dynamic friction , 2002, Proceedings of the 41st IEEE Conference on Decision and Control, 2002..

[8]  Yangquan Chen,et al.  Time Periodical Adaptive Friction Compensation , 2004, 2004 IEEE International Conference on Robotics and Biomimetics.

[9]  Teh-Lu Liao,et al.  An exponentially stable adaptive friction compensator , 2000, IEEE Trans. Autom. Control..

[10]  Carlos Canudas de Wit,et al.  Adaptive eccentricity compensation , 2000, IEEE Trans. Control. Syst. Technol..

[11]  K. Khorasani,et al.  Adaptive friction compensation based on the Lyapunov scheme , 1996, Proceeding of the 1996 IEEE International Conference on Control Applications IEEE International Conference on Control Applications held together with IEEE International Symposium on Intelligent Contro.

[12]  Masayoshi Tomizuka,et al.  Application of nonlinear friction compensation to robot arm control , 1986, Proceedings. 1986 IEEE International Conference on Robotics and Automation.