본문 바로가기
KERD
논문KCI 등재

Optimal iterative learning control with model uncertainty

0

조회

0

다운로드

3

인용

0

참고문헌

키워드

주제분류기계공학

초록

In this paper, an approach to deal with model uncertainty using norm-optimal iterative learning control (ILC) is mentioned. Model uncertainty generally degrades the convergence and performance of conventional learning algorithms. To deal with model uncertainty, a worst-case norm-optimal ILC is introduced. The problem is then reformulated as a convex minimization problem, which can be solved efficiently to generate the control signal. The paper also investigates the relationship between the proposed approach and conventional norm-optimal ILC; where it is found that the suggested design method is equivalent to conventional norm-optimal ILC with trial-varying parameters. Finally, simulation results of the presented technique are given.

Abstract

In this paper, an approach to deal with model uncertainty using norm-optimal iterative learning control (ILC) is mentioned. Model uncertainty generally degrades the convergence and performance of conventional learning algorithms. To deal with model uncertainty, a worst-case norm-optimal ILC is introduced. The problem is then reformulated as a convex minimization problem, which can be solved efficiently to generate the control signal. The paper also investigates the relationship between the proposed approach and conventional norm-optimal ILC; where it is found that the suggested design method is equivalent to conventional norm-optimal ILC with trial-varying parameters. Finally, simulation results of the presented technique are given.

참고문헌 (21)

  1. D. A. Bristow, "A survey of iterative learning control : a learning based method for high-performance tracking control", IEEE Control Systems Magazine, 26, pp.96~114 (2006)
  2. H.-S. Ahn, "Iterative learning control : Brief survey and categorization", Part C : Applications and Reviews, IEEE Transactions on Systems, Man, and Cybernetics, 37, pp.1099~1121 (2007)
  3. T. J. Harte, "Discrete-time inverse model-based iterative learning control : stability, monotonicity and robustness", International Journal of Control, 78(8), pp.577~586 (2005)
  4. R. W. Longman, "Iterative learning control and repetitive control for engineering practice", International Journal of Control, 73, pp.930~954 (2000)
  5. T. Donkers, "Robustness against model uncertainties of norm optimal iterative learning control", Proceedings of the American Control Conference (2008)
  6. E. Rogers, "LMI based stability analysis and controller design for a class of 2D discrete linear systems", Proceedings of the 40th IEEE Conference on Decision and Control, 5, pp.4457~4462 (2001)
  7. D. Owens, "Robust gradient iterative learning control : time and frequency domain conditions", International Journal of Modeling, Identification and Control, 4(4), pp.315~322 (2008)
  8. K. Moore, "Algebraic H1 design of higher-order iterative learning controllers", Proceedings of the IEEE International Symposium on Intelligent Control, pp.1207~1212 (2005)
  9. D. Bristow, "Monotonic convergence of iterative learning control for uncertain systems using a time-varying filter", Automatic Control, IEEE Transactions on, 53, pp.582~585 (2008)
  10. H.-S. Ahn, "Monotonic convergent iterative learning controller design based on interval model conversion", IEEE Transactions on Automatic Control, 51, pp.366~371 (2006)
  11. D. H. Nguyen, "A convex optimization approach to robust iterative learning control for linear systems with time-varying parametric uncertainties", Automatica, 47(9), pp.2039~2043 (2011)
  12. N. Amann, "An H1 approach to linear iterative learning control design", International Journal of Adaptive Control and Signal processing, 10(6), pp.767~781 (1996)
  13. D. Roover, "Synthesis of a robust iterative learning controller using an approach", Proceedings of the 35th IEEE Conference on Decision and Control, 3, pp.3044~3049 (1996)
  14. K. L. Moore, "Iteration domain optimal iterative learning controller design", International Journal of Robust and Nonlinear Control, 18(10), pp.1001~1017 (2008)
  15. J. J. M. van de Wijdeven, "Iterative learning control for uncertain systems : Non-causal finite time interval robust control design", International Journal of Robust and Nonlinear Control, 21(14), pp.1645~1666 (2011)
  16. S. Skogestad, "Multivariable feedback control: analysis and design" (2005), John Wiley
  17. S. Gunnarsson, "On the design of ILC algorithms using optimization", Automatica, 37(12), pp.2011~2016 (2001)
  18. K. Barton, "A norm optimal approach to time-varying ILC with application to a multi-axis robotic testbed", IEEE Transactions on Control Systems Technology, 19, pp.166~180 (2011)
  19. Taek-Kun Nam, "A Study on the Control Scheme of Vibration Isolator with Electrical Motor", 한국마린엔지니어링학회지, 36(1), pp.133~140 (2012), 한국마린엔지니어링학회
  20. M. Norrlof, "Time and frequency domain conver-gence properties in iterative learning control", International Journal of Control, 75(14), pp.1114~1126 (2002)
  21. S. Boyd, "Convex Optimization" (2004), Cambridge University Press

이 간행물의 다른 논문 (15건)