Journal of Institute of Control, Robotics and Systems (제어로봇시스템학회논문지)

Institute of Control, Robotics and Systems (제어로봇시스템학회)
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Iterative Learning Control for Discrete Time Nonlinear Systems Based on an Objective Function

목적함수를 고려한 이산 비선형 시스템의 반복 학습 제어

  • Jeong, Gu-Min (Dept.of Electronics Engineering, Seoul National University) ;
  • Park, Chong-Ho (Dept.of Electronics Engineering, Seoul National University) ;
  • Jang, Tae-Jeong (Dept.of Electrical Electronics Information Communication Engineering, Kangwon National University)
  • 정구민 (서울대학교 전기공학부) ;
  • 최종호 (서울대학교 전기공학부) ;
  • 장태정 (강원대학교 전기전자정보통신공학부)
  • Published : 2001.01.01
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Abstract

In this paper, a new iterative learning control scheme for discrete time nonlinear systems is proposed based on an objective function consisting of the output error and input energy. The relationships between the proposed ILC and the optimal control are described. A new input update law is proposed and its convergence is proved under certain conditions. In this proposed update law, the inputs in the whole control horizon are updated at once considered as one large vector. Some illustrative examples are given to show the effectiveness of the proposed method.

Keywords

References

  1. S. Arimoto, S. Kawamura, and F. Miyazaki, 'Bettering operation of robots by learning,' Journal of Robotic Systems, vol. 1, no. 2, pp. 123-140, 1984 https://doi.org/10.1002/rob.4620010203
  2. Z. Bien and K. M. Huh, 'High-order iterative learning control algorithm,' IEE Proc. Pt.-D, vol. 136, no. 3, pp. 105-112, 1989
  3. T.-Y. Kuc, J.-S. Lee, and K. Nam, 'An iterative learning control theory for a class of nonlinear dynamic systems,' Automatica, vol. 28, no. 6, pp. 1215-1221, 1992 https://doi.org/10.1016/0005-1098(92)90063-L
  4. H.-S. Ahn, C.-H. Choi, and K.-B. Kim, 'Iterative learning control for a class of nonlinear systems,' Automatica, vol. 29, no. 6, pp. 1575-1578, Nov. 1993 https://doi.org/10.1016/0005-1098(93)90024-N
  5. T.-J. Jang, H.-S. Ahn, and C.-H. Choi, 'Iterative learning control for discrete-time nonlinear systems,' Int. J. Systems Sci, vol. 25, no. 7, pp. 1179-1189, July, 1994 https://doi.org/10.1080/00207729408949269
  6. K. Furuta and M. Yamakitai, 'Iterative generation of optimal input of a manipulator,' Proc. of IEEE Robotics and Automation, pp. 579-583, 1986
  7. M. Togai and O. Yamano, 'Learning control and its optimality: Analysis and its application to controlling industrial robots,' Proc. of IEEE Robotics and Automation, pp. 248-253, 1986
  8. N. Amann, D. H. Owens, and Eric Rogers,'Iterative learning control using optimal feedback and feedforward actions,' Int. J. Control, vol. 65, no. 2, pp. 277-293, 1996 https://doi.org/10.1080/00207179608921697
  9. C.-H. Choi, T.-J. Jang, 'Iterative learning control of nonlinear systems with consideration on input magnitude,' Proc. Asian Contr. Conf., pp. 37-40, July, 1997
  10. J. A. Frueh and M. Q. Phan, 'Linear quadratic optimal learning control,' Proc. of the 24th IEEE Conf. Decisio and Control, pp. 678-683, December. 1998 https://doi.org/10.1109/CDC.1998.760762
  11. H. Nijmeijer and A. J. Van Der Schaft, Nonlinear Dynamical Control Systems, Springer-Verlag, Berlin, 1990
  12. A. Isidori, Nonlinear Control Systems: An Introduction, Springer-Verlag, Berlin, 1989
  13. S. Devasia, D. Chen, and B. Paden, 'Nonlinear inversion based output tracking,' IEEE Trans. Automat. Contr., vol. 41, no. 7, pp. 930-942, July, 1996 https://doi.org/10.1109/9.508898