Adaptive Repetitive Control for a Class of Nonlinearly Parametrized Systems

IEEE Transactions on Automatic Control

Volumn 51, Issue 10, 2006, Pages 1684-1688

  Sun, Mingxuan ^a   Ge, Shuzhi Sam ^a  

^a NATIONAL UNIVERSITY OF SINGAPORE   (Singapore)

Author keywords

Adaptive control; control; nonlinear parametrization; repetitive; saturated learning

Indexed keywords

EID: 85008040642     PISSN: 00189286     EISSN: 15582523     Source Type: Journal    
DOI: 10.1109/TAC.2006.883028     Document Type: Article

References (25)

1. B. Armstrong, P. Dupont, and C. C. De Wit, A survey of analysis tools and compensation methods for control of machines with friction, Automatica, vol. 30, no. 7, pp. 1083-1138, 1994.
2. J. D. Boskovic, “Stable adaptive control of a class of first-order nonlinearly parameterized plants,” IEEE Trans. Autom. Control, vol. 40, no. 2, pp. 347–350, Feb. 1995.
3. R. Marino and P. Tomei, “Global adaptive output-feedback control of nonlinear systems, Part II: Nonlinear parameterization,” IEEE Trans. Autom. Control, vol. 38, no. 1, pp. 17–48, Jan. 1993.
4. A. M. Annaswamy, F. P. Skantze, and A. P. Loh, “Adaptive control of continuous time systems with convex/concave parametrization,” Automatica, vol. 34, no. 1, pp. 33–49, 1998.
5. S. S. Ge, C. C. Hang, and T. Zhang, “A direct adaptive controller for dynamic systems with a class of nonlinear parameterizations,” Automatica, vol. 35, pp. 741–747, 1999.
6. Z. Qu, “Adaptive and robust controls of uncertain systems with nonlinear parameterization,” IEEE Trans. Autom. Control, vol. 48, no. 10, pp. 1817–1823, Oct. 2003.
7. S. Arimoto, “Learning control theory for robotic motion,” Int. J. Adapt. Control Signal Process., vol. 4, pp. 543–564, 1990.
8. S. Hara, Y. Yamamoto, T. Omata, and M. Nakano, “Repetitive control system: A new type servo system for periodic exogenous signals,” IEEE Trans. Autom. Control, vol. 33, no. 7, pp. 659–668, Jul. 1988.
9. M. Tomizuka, T.-C. Tsao, and K.-K. Chew, “Analysis and synthesis of discrete-time repetitive controllers,” ASME J. Dyna. Syst. Measure. Control, vol. 11, pp. 353–358, 1989.
10. W. Messner, R. Horowitz, W. W. Kao, and M. Boals, “A new adaptive learning law,” IEEE Trans. Autom. Control, vol. 36, no. 2, pp. 188–197, Feb. 1991.
11. D. Gorinevsky, “Loop shaping for iterative control of batch processes,” IEEE Control Syst. Mag., vol. 22, no. 6, pp. 55–65, Dec. 2002.
12. N. Sadegh, R. Horowitz, W. W. Kao, and M. Tomizuka, “A unified approach to design of adaptive and repetitive controllers for robotic manipulators,” ASME J. Dyna. Syst. Measure. Control, vol. 112, pp. 618–629, 1990.
13. W. E. Dixon, E. Zergeroglu, D. M. Dawson, and B. T. Costic, “Repetitive learning control: a Lyapunov-based approach,” IEEE Trans. Syst., Man, Cybern., B, Cybern., vol. 32, no. 4, pp. 538–545, Aug. 2002.
14. L. Xu and B. Yao, “Adaptive robust repetitive control of a class of nonlinear systems in normal form with applications to motion control of linear motors,” in Proc. IEEE/ASME Int. Conf. Advanced Intelligent Mechtronics, Como, Italy, Jul. 2001, pp. 527–532.
15. Z. Qu and H. Zhuang, “Non-linear learning control of robot manipulators without requiring acceleration measurement,” Int. J. Adapt. Control Signal Process., vol. 7, pp. 77–90, 1993.
16. Z. Qu and J.-X. Xu, “Model-based learning controls and their comparisons using Lyapunov direct method,” Special Issue: Iterative Learning Control, Asian J. Control, vol. 4, no. 1, pp. 99–110, 2002.
17. D. D. Vecchio, R. Marino, and P. Tomei, “Adaptive learning control for feedback linearizable systems,” Eur. J. Control, vol. 9, pp. 479–492, 2003.
18. S. J. Lee and T. C. Tsao, “Repetitive learning of backstepping controlled nonlinear electrohydraulic material testing systems,” Control Eng. Pract., vol. 12, pp. 1393–1408, 2004.
19. B. H. Park, T. Y. Kuc, and J. S. Lee, “Adaptive learning control of uncertain robotic systems,” Int. J. Control, vol. 65, no. 5, pp. 725–744,1996.
20. J. Y. Choi and J. S. Lee, “Adaptive iterative learning control of uncertain robotic systems,” Proc. Inst. Elect. Eng. D, vol. 147, no. 2, pp. 217–223, 2000.
21. T.-Y. Kuc and W.-G. Han, “An adaptive PID learning control of robot manipulators,” Automatica, vol. 36, pp. 717–725, 2000.
22. J.-X. Xu, Y. Tan, and T.-H. Lee, “Iterative learning control design based on composite energy function with input saturation,” Automatica, vol. 40, pp. 1371–1377, 2004.
23. S. S. Ge, C. C. Hang, T. H. Lee, and T. Zhang, Stable Adaptive Neural Network Control. Boston, MA: Kluwer, 2001.
24. S. S. Ge, F. Hong, and T. H. Lee, “Adaptive neural control of nonlinear time-delay systems with unknown virtual control coefficients,” IEEE Trans. Syst., Man, Cybern., B, Cybern., vol. 34, no. 1, pp. 499–516, Feb. 2004.
25. M. Sun and S. S. Ge, “Adaptive rejection of periodic and non-periodic disturbances for a class of nonlinearly parametrized systems,” in Proc. Amer. Control Conf., Boston, MA, Jun. 2004, pp. 1229–1234.