A general framework for tackling the output regulation problem

IEEE Transactions on Automatic Control

Volumn 49, Issue 12, 2004, Pages 2203-2218

  Huang, Jie ^a,b   Chen, Zhiyong ^a  

^a CHINESE UNIVERSITY OF HONG KONG   (Hong Kong)

^b SOUTH CHINA UNIVERSITY OF TECHNOLOGY   (China)

Author keywords

Internal model principle; Nonlinear systems; Output regulation; Robust control

Indexed keywords

CLOSED LOOP CONTROL SYSTEMS; EIGENVALUES AND EIGENFUNCTIONS; MATHEMATICAL MODELS; MATHEMATICAL TRANSFORMATIONS; MATRIX ALGEBRA; POLYNOMIALS; ROBUSTNESS (CONTROL SYSTEMS); STATE FEEDBACK; THEOREM PROVING;

CLOSED LOOP STABILITY; INTERNAL MODEL PRINCIPLE; OUTPUT REGULATION;

NONLINEAR CONTROL SYSTEMS;

EID: 11044232273     PISSN: 00189286     EISSN: None     Source Type: Journal    
DOI: 10.1109/TAC.2004.839236     Document Type: Article

References (38)

1. C. I. Byrnes, F. D. Priscoli, A. Isidori, and W. Kang, "Structurally stable output regulation of nonlinear systems," Automatica, vol. 33, pp. 369-385, 1997.
2. Z. Chen and J. Huang, "Global robust stabilization of cascaded polynomial systems," Syst. Control Lett., vol. 47, pp. 445-453, 2002.
3. Z. Chen and J. Huang, "Global tracking of uncertain nonlinear cascaded systems with adaptive internal model," in Proc. 41st IEEE Conf. Decision and Control, Dec. 2002, pp. 3855-3862.
4. Z. Chen and J. Huang, "A variation of the small gain theorem," in Proc. 8th Int. Conf. Control, Automation, Robotics, and Vision, Dec. 2004.
5. E. J. Davison, "The robust control of a servomechanism problem for linear time-invariant multivariable systems," IEEE Trans. Automat. Contr., vol. AC-21, pp. 25-34, Jan. 1976.
6. F. D. Priscoli, "Robust tracking for polynomial plants," in Eur. Control Conf., June 1993, pp. 369-373.
7. C. A. Desoer and C. A. Lin, "Tracking and disturbance rejection of MIMO nonlinear systems with PI controller," IEEE Trans. Automat. Contr. vol. AC-30, pp. 861-867, Sept. 1985.
8. Z. Ding, "Universal disturbance rejection for nonlinear systems in output feedback form," IEEE Trans. Automat. Contr., vol. 48, pp. 1222-1226, Sept. 2003.
9. B. A. Francis, "The linear multivariable regulator problem," in SIAM J. Control Optim., vol. 15, 1977, pp. 486-505.
10. B. A. Francis and W. M. Wonham, "The internal model principle of control theory," Automatica, vol. 12, pp. 457-465, 1976.
11. J. Huang, "Asymptotic tracking and disturbance rejection in uncertain nonlinear systems," IEEE Trans. Automat. Contr., vol. 40, pp. 1118-1122, Oct. 1995.
12. J. Huang, "Remarks on robust output regulation problem for nonlinear systems," IEEE Trans. Automat. Contr., vol. 46, pp. 2028-2031, Nov. 2001.
13. J. Huang, "K-fold exosystem and the robust nonlinear servomechanism problem," ASME J. Dyna., Control, Measure., pp. 149-153, Mar. 1998.
14. J. Huang, Nonlinear Output Regulation Problem: Theory and Applications. Philadelphia, PA: SIAM, 2004.
15. J. Huang and Z. Chen, "A general framework for output regulation problem," in Proc. 2002 Amer. Control Conf., May 2002, pp. 102-109.
16. J. Huang and G. Hu, "A control design for the nonlinear benchmark problem via the output regulation method," J. Control Theory Applicat., vol. 2, pp. 11-19, 2004.
17. J. Huang and C.-F. Lin, "On a robust nonlinear servomechanism problem," IEEE Trans. Automat. Contr., vol. 39, pp. 1510-1513, Sept. 1994.
18. J. Huang and C.-F. Lin, "Internal model principle and robust control of nonlinear systems," in Proc. 32nd IEEE Conf. Decision and Control Dec. 1993, pp. 1501-1513.
19. J. Huang and W. J. Rugh, "On a nonlinear multivariable servomechanism problem," Automatica, vol. 26, pp. 963-972, 1990.
20. J. Huang and W. J. Rugh, "Stabilization on zero-error manifolds and the nonlinear servomechanism problem," IEEE Trans. Automat. Contr., vol. 37, pp. 1009-1013, Oct. 1992.
21. A. Isidori and C. I. Byrnes, "Output regulation of nonlinear systems," IEEE Trans. Automat. Contr., vol. 35, pp. 131-140, Jan. 1990.
22. A. Isidori, "A remark on the problem of semiglobal nonlinear output regulation," IEEE Trans. Automat. Contr., vol. 42, pp. 1734-1738, Oct. 1997.
23. A. Isidori, Nonlinear Control Systems. New York: Springer-Verlag, 1999, vol. II.
24. A. Isidori, L. Marcoli, and A. Serrari, "Robust nonlinear motion control of a helicopter," IEEE Trans. Automat. Contr., vol. 48, pp. 413-426, Mar. 2003.
25. Z. P. Jiang and I. Mareels, "A small-gain control method for nonlinear cascaded systems with dynamic uncertainties," IEEE Trans. n Automat. Contr., vol. 42, pp. 292-308, Feb. 1997.
26. Z. P. Jiang, A. R. Teel, and L. Praly, "Small-gain theorem for ISS systems and applications," Math. Control, Signals, Syst., vol. 7, pp. 95-120, 1994.
27. H. Khalil, "Robust servomechanism output feedback controllers for feedback lineadzable systems," Automatica, vol. 30, pp. 1587-1589, 1994.
28. H. Khalil, "On the design of robust servomechanisms for minimum phase nonlinear systems," Int. J. Robust Nonlinear Control, vol. 10, pp. 339-361, 2000.
29. W. Lin and Q. Gong, "A remark on partial-state feedback stabilization of cascade systems using small gain theorem," IEEE Trans. Automat. Contr., vol. 48, pp. 497-500, Mar. 2003.
30. R. Marino and P. Tomei, "Global adaptive output feedback control of nonlinear systems, part I: Linear parameterization," IEEE Trans. Automat. Contr., vol. 38, pp. 17-32, Jan. 1993.
31. V. O. Nikiforov, "Adaptive nonlinear tracking with complete compensation of unknown disturbances," Eur. J. Control, vol. 4, pp. 132-139, 1998.
32. L. Praly and Z. P. Jiang, "Stabilization by output feedback for systems with ISS inverse dynamics," Syst. Control Lett., vol. 21, pp. 19-33, 1993.
33. C. Qian and W. Lin, "A continuous feedback approach to global strong stabilization of nonlinear systems," IEEE Trans. Automat. Contr., vol. 46, pp. 1061-1079, June 2001.
34. A. Serrari and A. Isidori, "Global robust output regulation for a class of nonlinear systems," Syst. Control Lett., vol. 39, pp. 133-139, 2000.
35. A. Serrani, A. Isidori, and L. Marconi, "Semiglobal robust output regulation of minimum-phase nonlinear systems," Int. J. Robust Nonlinear Control, vol. 10, pp. 379-396, 2000.
36. A. Serrani, A. Isidori, and L. Marconi, "Semiglobal nonlinear output regulation with adaptive internal model," IEEE Trans. Automat. Contr., vol. 46, pp. 1178-1194, June 2001.
37. E. D. Sontag and Y. Wang, "New characterizations of input-to-state stability," IEEE Trans. Automat. Contr., vol. 41, pp. 1283-1294, July 1996.
38. X. D. Ye and J. Huang, "Decentralized adaptive output regulation for large-scale nonlinear systems," IEEE Trans. Automat. Contr., vol. 48, pp. 276-281, Feb. 2003.