Asymptotic regulation of minimum phase nonlinear systems using output feedback

IEEE Transactions on Automatic Control

Volumn 41, Issue 10, 1996, Pages 1402-1412

  Mahmoud, Nazmi A ^a,b   Khalil, Hassan K ^a,c  

^a IEEE

^b GENERAL MOTORS CORPORATION   (United States)

^c Michigan State University   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ASYMPTOTIC STABILITY; CLOSED LOOP CONTROL SYSTEMS; CONTROL NONLINEARITIES; FEEDBACK CONTROL; INTEGRAL EQUATIONS; INVARIANCE; PARAMETER ESTIMATION; ROBUSTNESS (CONTROL SYSTEMS);

ASYMPTOTIC REGULATION; DISTURBANCE INPUTS; MINIMUM PHASE NONLINEAR SYSTEMS; OUTPUT FEEDBACK;

NONLINEAR CONTROL SYSTEMS;

EID: 0030258605     PISSN: 00189286     EISSN: None     Source Type: Journal    
DOI: 10.1109/9.539423     Document Type: Article

References (36)

1. B. R. Barmish, M. Corless, and G. Leitmann, "A new class of stabilizing controllers for uncertain dynamical systems," SIAM J. Contr. Optimization, vol. 21, no. 2, pp. 246-255, 1983.
2. C. I. Byrnes and A. Isidori, "Asymptotic stabilization of minimum phase nonlinear systems," IEEE Trans. Automat. Contr., vol. 36, no. 10, pp. 1122-1137, 1991.
3. C. A. Deoser and Y. T. Wang, "The robust nonlinear servomechanism problem," Int. J. Contr., vol. 29, no. 5, pp. 803-828, 1979.
4. M. Corless and G. Leitmann, "Continuous state feedback guaranteeing uniform ultimate boundedness for uncertain dynamic systems," IEEE Trans. Automat. Contr., vol. AC-26, no. 5, pp. 1139-1144, 1981.
5. E. J. Davison, "The robust control of a servomechanism problem for linear time-invariant multivariable systems," IEEE Trans. Automat. Contr., vol. AC-21, no. 1, pp. 25-34, 1976.
6. E. J. Davison and I. J. Ferguson, "The design of controllers for the multivariable robust servomechanism problem using parameter optimization methods," IEEE Trans. Automat. Contr., vol. AC-26, no. 1, pp. 93-110, 1981.
7. R. A. DeCarlo, S. H. Zak, and G. P. Matthews, "Variable structure control of nonlinear multivariable systems: A tutorial," Proc. IEEE, vol. 76, pp. 212-232, 1988.
8. 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, no. 9, pp. 861-867, 1985.
9. C. A. Desoer and Y. T. Wang, "Linear time-invariant robust servomechanism problem: A self-contained exposition," in Advances in Control and Dynamical Systems, C. T. Leondes, Ed., vol. 16. New York: Academic, 1980, pp. 81-129.
10. F. Esfandiari and H. K. Khalil, "Output feedback stabilization of fully linearizable systems," Int. J. Contr., vol. 56, pp. 1007-1037, 1992.
11. B. A. Francis, "The linear multivariable regulator problem," SIAM J. Contr. Optimization, vol. 15, no. 3, pp. 486-505, 1977.
12. G. H. Hardy, J. E. Littlewood, and G. Polya, Inequalities. Cambridge: Cambridge Univ. Press, 1952.
13. J. Huang and W. J. Rugh, "On a nonlinear multivariable servomechanism problem, "Automatica, vol. 26, no. 6, pp. 963-972, 1990.
14. _, "Stabilization on zero-error manifolds and the nonlinear servomechanism problem," IEEE Trans. Automat. Contr., vol. 37, no. 7, pp. 1009-1013, July 1992.
15. A. Isidori, Nonlinear Control Systems, 3rd ed. New York: Springer-Verlag, 1995.
16. A. Isidori and C. I. Byrnes, "Output regulation of nonlinear systems," IEEE Trans. Automat. Contr., vol. 35, no. 2, pp. 131-140, 1990.
17. Z. P. Jiang and L. Praly, "Preliminary results about robust Lagrange stability in adaptive nonlinear regulation," Int. J. Adaptive Contr. Signal Processing, vol. 6, pp. 329-351, 1992.
18. _, "Technical results for the study of robustness of Lagrange stability," Syst. Contr. Lett., vol. 23, pp. 67-78, 1994.
19. I. Kanellakopoulos, P. V. Kokotovic, and A. S. Morse, "Systematic design of adaptive controllers for feedback linearizable systems, IEEE Trans. Automat. Contr., vol. 36, no. 11, pp. 1241-1253, 1991.
20. H. K. Khalil, "Robust servomechanism output feedback controllers for a class of feedback linearizable systems," Automatica, vol. 30, no. 10, pp. 1587-1599, 1994.
21. _, Nonlinear Systems, 2nd ed. Upper Saddle River, NJ: Prentice-Hall, 1996.
22. H. K. Khalil and F. Esfandiari, "Semiglobal stabilization of a class of nonlinear systems using output feedback," IEEE Trans. Automat. Contr., vol. 38, no. 9, pp. 1412-1415, 1993.
23. H. K. Khalil and A. Saberi, "Adaptive stabilization of a class of nonlinear systems using high-gain feedback. IEEE Trans. Automat. Contr., vol. AC-32, no. 11, pp. 1031-1035, 1987.
24. N. A. Mahmoud, "Robust tracking control for nonlinear systems using output feedback," Ph.D. dissertation, Michigan State Univ., East Lansing, MI, 1994.
25. N. A. Mahmoud and H. K. Khalil, "Asymptotic stabilization of minimum phase nonlinear systems using output feedback," in Proc. IEEE Conf. Decision Contr., San Antonio, TX, Dec. 1993.
26. R. Marino and P. Tomei, "Global adaptive output-feedback control of nonlinear systems, Part I: Linear parameterization," IEEE Trans. Automat. Contr., vol. 38, no. 1, pp. 17-32, 1993.
27. F. D. Priscoli, "Robust tracking for polynomial plants," in Proc. European Contr. Conf., Groningen, The Netherlands, June 1993, pp. 369-373.
28. A. Saberi and H. K. Khalil, "An initial value theorem for nonlinear singularly perturbed systems," Syst. Contr. Lett., vol. 4, pp. 301-305, 1984.
29. A. Saberi and Z. Q. Lin, "Adaptive high-gain stabilization of minimum-phase nonlinear systems," in Proc. IEEE Conf. Decision Contr., Honolulu, HI, Dec. 1990, pp. 3417-3422.
30. I. W. Sandberg, "Global inverse function theorems," IEEE Trans. Circuits Syst., vol. CAS-27, no. 11, pp. 998-1004, 1980.
31. S. S. Sastry and A. Isidori, "Adaptive control of linearizable systems," IEEE Trans. Automat. Contr., vol. 34, no. 11, pp. 1123-1131, 1989.
32. E. D. Sontag, "Smooth stabilization implies coprime factorization," IEEE Trans. Automat. Contr., vol. 34, no. 4, pp. 435-443, 1989.
33. E. D. Sontag and Y. Wang, "On characterizations of the input-to-state stability property," Syst. Contr. Lett., vol. 24, pp. 351-359, 1995.
34. A. Teel and L. Praly, "Semi-global stabilization by linear, dynamic output feedback for SISO minimum phase nonlinear systems," in IFAC World Congr., Sydney, Australia, July 1993, vol. 8, pp. 39-42.
35. _, "Tools for semiglobal stabilization by partial state and output feedback," SIAM J. Contr. Optimization, vol. 33, 1995.
36. V. I. Utkin, Sliding Modes in Optimization and Control. New York: Springer-Verlag, 1992.