Sampled-data iterative learning control for nonlinear systems with arbitrary relative degree

In this paper, a sampled-daata iterative learning control method is proposed for nonlinear systems without restriction on system relative degree. The learning algorithm does not require numerical differentiations of any order from the tracking error. A sufficient condition is derived to guarantee the convergence of the system output at each sampling instant to the desired trajectory. Numerical simulation is conducted to demonstrate the theoretical result.

[1]  Jing-Sin Liu,et al.  A P-type iterative learning controller for robust output tracking of nonlinear time-varying systems , 1994, Proceedings of 1994 American Control Conference - ACC '94.

[2]  Zeungnam Bien,et al.  Iterative learning control: analysis, design, integration and applications , 1998 .

[3]  Danwei Wang,et al.  Convergence and robustness of a discrete-time learning control scheme for constrained manipulators , 1994, J. Field Robotics.

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

[5]  Danwei W. Wang On D-type and P-type ILC designs and anticipatory approach , 2000 .

[6]  Toshiharu Sugie,et al.  An iterative learning control law for dynamical systems , 1991, Autom..

[7]  John Hauser,et al.  Learning control for a class of nonlinear systems , 1987, 26th IEEE Conference on Decision and Control.

[8]  Dong-Hwan Hwang,et al.  Design of an iterative learning controller for a class of linear dynamic systems with time-delay , 1998 .

[9]  Jin Soo Lee,et al.  An iterative learning control theory for a class of nonlinear dynamic systems , 1992, Autom..

[10]  Suguru Arimoto,et al.  Bettering operation of Robots by learning , 1984, J. Field Robotics.

[11]  YangQuan Chen,et al.  Iterative Learning Control: Convergence, Robustness and Applications , 1999 .

[12]  Chiang-Ju Chien,et al.  The sampled-data iterative learning control for nonlinear systems , 1997, Proceedings of the 36th IEEE Conference on Decision and Control.

[13]  Jian-Xin Xu,et al.  Iterative Learning Control , 1998 .

[14]  Suguru Arimoto,et al.  Realization of robot motion based on a learning method , 1988, IEEE Trans. Syst. Man Cybern..

[15]  Michael J. Grimble,et al.  Iterative Learning Control for Deterministic Systems , 1992 .

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

[17]  S. Saab On the P-type learning control , 1994, IEEE Trans. Autom. Control..