Structurally stable output regulation problem with sampled-output measurements using fuzzy immersions

IEEE Transactions on Fuzzy Systems

Volumn 18, Issue 6, 2010, Pages 1170-1177

  Garcia Sandoval J P ^a   Castillo Toledo, B ^b   Di Gennaro, S ^c   Gonzalez Alvarez V ^a  

^a UNIVERSITY OF GUADALAJARA   (Mexico)

^b UNIDAD GUADALAJARA   (Mexico)

^c UNIVERSITY OF L'AQUILA   (Italy)

Author keywords

Fuzzy immersion; ripple free tracking; robust regulation; sampled data control

Indexed keywords

ASYMPTOTIC TRACKING; CLOSED LOOP STABILITY; DISTURBANCE SIGNALS; ERROR FEEDBACK; EXOSYSTEM DYNAMICS; FUZZY CONTROLLERS; FUZZY IMMERSION; ILLUSTRATIVE EXAMPLES; INTERNAL MODELS; KEY FEATURE; OUTPUT REGULATION PROBLEM; PARAMETER UNCERTAINTY; REGULATION PROBLEMS; RIPPLE-FREE TRACKING; ROBUST REGULATION; SAMPLED-DATA CONTROL; SAMPLING PERIOD; TIME VARYING;

NONLINEAR CONTROL SYSTEMS;

CONTROLLERS;

EID: 78649756846     PISSN: 10636706     EISSN: None     Source Type: Journal    
DOI: 10.1109/TFUZZ.2010.2079938     Document Type: Article

References (30)

1. A. Isidori, L. Marconi, and C. De-Persis, "Observers as internal models for remote tracking via encoded information," Control and Observer Design for Nonlinear Finite and Infinite Dimensional Systems, vol. 322, ser. Lecture Notes in Control and Information Sciences. Berlin, Germany: Springer-Verlag, pp. 3-18, 2005.
2. C. Byrnes and A. Isidori, "Output regulation for nonlinear systems: An overview," Int. J. Robot. Nonlinear Control, vol. 10, pp. 323-337, 2000. (Pubitemid 32075114)
3. B. Francis, "The linear multivariable regulator problem," SIAM J. Control Optim., vol. 15, pp. 486-505, 1977.
4. J. Huang and C.-F. Lin, "On a robust nonlinear servomechanism problem," IEEE Trans. Automat. Control, vol. 39, no. 7, pp. 1510-1513, Jul. 1994.
5. J. Huang, "Asymptotic tracking and disturbance rejectioninuncertain nonlinear systems," IEEE Trans. Automat. Control, vol. 40, no. 6, pp. 1118-1122, Jun. 1995.
6. B. Castillo, "Output regulation of nonlinear systems with more inputs than outputs," Int. J. Contr., vol. 57, pp. 1343-1356, 1993.
7. B. Castillo, S. DiGennaro, S. Monaco, and D. Normand-Cyrot, "Nonlinear regulation for a class of discrete-time systems," Syst. Contr. Lett., vol. 20, pp. 57-65, 1993.
8. J. Shi, "Robust output regulator for nonlinear systems," Int. J. Contr., vol. 58, pp. 1347-1360, 1993.
9. X. Jia, D. Zhang, X. Hao, and N. Zheng, "Tracking control for nonlinear networked control systems in T-S fuzzy model," IEEE Trans. Syst., Man, Cybern. B, Cybern., vol. 39, no. 4, pp. 1073-1079, Aug. 2009.
10. X. Jiang and Q.-L. Han, "On designing fuzzy controllers for a class of nonlinear networked control systems," IEEE Trans. Fuzzy Syst., vol. 16, no. 4, pp. 1050-1060, Aug. 2008.
11. A. Isidori, Nonlinear Control Systems, 3rd ed. London U.K.: Springer-Verlag, 1995.
12. M. Krstic, I. Kanellakopoulos, and P. Kokotovic, Nonlinear and Adaptative Control Design. New York: Wiley, 1995.
13. R. Marino and P. Tomei, Nonlinear Control Design. Geometric, Adaptative and Robust. Englewood Cliffs, NJ: Prentice-Hall, 1995.
14. B. Castillo-Toledo and S. Di Gennaro, "On the nonlinear ripple free sampled-data robust regulator," Eur. J. Contr., vol. 8, pp. 44-55, 2002.
15. J. Huang and Z. Chen, "A general framework for tackling the output regulation problem," IEEE Trans. Automat. Control, vol. 49, no. 12, pp. 2203-2218, Dec. 2004.
16. A. Serrani, A. Isidori, and L. Marconi, "Semi-global nonlinear output regulation with adaptive internal model," IEEE Trans. Automat. Control, vol. 46, pp. 1178-1194, Aug. 2001.
17. J. Huang, "Remarks on the robust output regulation problem for nonlinear systems," IEEE Trans. Automat. Control, vol. 46, no. 12, pp. 2028-2031, Dec. 2001. (Pubitemid 34126260)
18. B. Castillo-Toledo, S. Celikovsky, and S. Di Gennaro, "Generalizad immersion and nonlinear robust regulation problem," Kybernetika, vol. 40, no. 2, pp. 207-220, 2004.
19. S. Monaco and D. Normand-Cyrot, "Minimum phase nonlinear discrete-time systems and feedback stabilization," in Proc. 23th Conf. Decis. Control, Los Angeles, CA, 1987, pp. 979-986.
20. L. Zadeh, "Outline of a new approach to the analysis of complex systems and decision processes," IEEE Trans. Syst., Man, Cybern., vol. SMC-3, no. 1, pp. 28-44, Jan. 1973.
21. E. Mamdani and S. Assilian, "Applications of fuzzy algorithms for control of simple dynamic plant," Proc. Inst. Elect. Eng. C., vol. 121, pp. 1585-1588, 1974.
22. H. Nakanishi, I. Turksen, and M. Sugeno, "A review and comparison of six reasoning methods," Fuzzy Sets Syst., vol. 57, pp. 257-294, 1993.
23. T. Takagi and M. Sugeno, "Fuzzy identification of systems and its application to modeling and control," IEEE Trans. Syst., Man, Cybern., vol. SMC-15, no. 1, pp. 116-132, Feb. 1985.
24. K. Tanaka and M. Sugeno, "Stability analysis and design of fuzzy control systems," Fuzzy Sets Syst., vol. 45, pp. 135-156, 1992.
25. K. Tanaka and M. Sugeno, "Arobust stabilization problem of fuzzy control systems and its application to backing up control of a truck-trailer," IEEE Trans. Fuzzy Syst., vol. 2, no. 2, pp. 119-134, May 1994.
26. ∞ control theory, and LMI," IEEE Trans. Fuzzy Syst., vol. 4, no. 1, pp. 1-13, Feb. 1996.
27. K. Tanaka and H. Wang, Fuzzy Control Systems Design and Analysis, A Linear Matrix Inequality Aproach. New York: Wiley, 2001.
28. A. Sala, T. Guerra, and R. Babuska, "Perspectives of fuzzy systems and control," Fuzzy Sets Syst., vol. 156, pp. 432-444, 2005.
29. G. Feng, "A survey on analysis and design of model-based fuzzy control systems," IEEE Trans. Fuzzy Syst., vol. 14, no. 5, pp. 676-697, Oct. 2006.
30. ∞ output feedback control of nonlinear systems under sampled measurements," Automatica, vol. 39, pp. 2169-2174, 2003.