Discrete Learning Control with Application to Hydraulic Actuators

In this paper the robustness of a class of learning control algorithms to state disturbances, output noise, and errors in initial conditions is studied. We present a simple learning algorithm and exhibit, via a concise proof, bounds on the asymptotic trajectory errors for the learned input and the corresponding state and output trajectories. Furthermore, these bounds are continuous functions of the bounds on the initial condition errors, state disturbance, and output noise, and the bounds are zero in the absence of these disturbances.

[1]  John J. Craig,et al.  Adaptive control of manipulators through repeated trials , 1984 .

[2]  F. Miyazaki,et al.  Bettering operation of dynamic systems by learning: A new control theory for servomechanism or mechatronics systems , 1984, The 23rd IEEE Conference on Decision and Control.

[3]  Tsutomu Mita,et al.  Iterative control and its application to motion control of robot arm - A direct approach to servo-problems , 1985, 1985 24th IEEE Conference on Decision and Control.

[4]  Masaki Togai,et al.  Analysis and design of an optimal learning control scheme for industrial robots: A discrete system approach , 1985, 1985 24th IEEE Conference on Decision and Control.

[5]  Christopher G. Atkeson,et al.  Robot trajectory learning through practice , 1986, Proceedings. 1986 IEEE International Conference on Robotics and Automation.

[6]  Luca Maria Gambardella,et al.  On the iterative learning control theory for robotic manipulators , 1988, IEEE J. Robotics Autom..

[7]  R. Su,et al.  Learning control for a class of nonlinear systems , 1989, Proceedings. IEEE International Symposium on Intelligent Control 1989.

[8]  S. Arimoto,et al.  Robustness of P-type learning control with a forgetting factor for robotic motions , 1990, 29th IEEE Conference on Decision and Control.

[9]  Suguru Arimoto,et al.  Learning control theory for robotic motion , 1990 .

[10]  Suguru Arimoto,et al.  Selective learning with a forgetting factor for robotic motion control , 1991, Proceedings. 1991 IEEE International Conference on Robotics and Automation.

[11]  B. Paden,et al.  Stability of learning control with disturbances and uncertain initial conditions , 1992 .

[12]  S. K. Tso,et al.  Discrete learning control for robots: strategy, convergence and robustness , 1993 .

[13]  T. Kavli Frequency domain synthesis of trajectory learning controllers for robot manipulators , 1992, J. Field Robotics.

[14]  Marlin H. Mickle,et al.  Theory of P-type learning control with implication for the robot manipulator , 1993, [1993] Proceedings IEEE International Conference on Robotics and Automation.

[15]  A.G. Alleyne,et al.  A survey of iterative learning control , 2006, IEEE Control Systems.

[16]  Kevin L. Moore,et al.  Iterative Learning Control: Brief Survey and Categorization , 2007, IEEE Transactions on Systems, Man, and Cybernetics, Part C (Applications and Reviews).

[17]  Francis J. Doyle,et al.  Survey on iterative learning control, repetitive control, and run-to-run control , 2009 .

[18]  Jian-Xin Xu,et al.  A survey on iterative learning control for nonlinear systems , 2011, Int. J. Control.

[19]  B. Paden,et al.  Robust Learning Control , 2015 .