The local output regulation problem: Convergence region estimates

IEEE Transactions on Automatic Control

Volumn 49, Issue 5, 2004, Pages 814-819

  Pavlov, Alexei ^a   Van de Wouw, Nathan ^a   Nijmeijer, Henk ^a  

^a EINDHOVEN UNIVERSITY OF TECHNOLOGY   (Netherlands)

Author keywords

Convergence region; Disturbance rejection; Nonlinear systems; Output regulation

Indexed keywords

ACTUATORS; CONVERGENCE OF NUMERICAL METHODS; ESTIMATION; NONLINEAR CONTROL SYSTEMS; PROBLEM SOLVING;

CONVERGENCE REGION; DISTURBANCE REJECTION; OUTPUT REGULATION;

ASYMPTOTIC STABILITY;

EID: 2942615457     PISSN: 00189286     EISSN: None     Source Type: Journal    
DOI: 10.1109/TAC.2004.828322     Document Type: Article

References (20)

1. A. Isidori and C. I. Byrnes, "Output regulation of nonlinear systems," IEEE Trans. Automat. Contr., vol. 35, pp. 131-140, Jan. 1990.
2. J. Huang and W. J. Rugh, "On a nonlinear multivariable servomechanism problem," Automatica, vol. 26, pp. 963-972, 1990.
3. C. I. Byrnes, F. D. Priscoli, and A. Isidori, Output Regulation of Uncertain Nonlinear Systems. Boston, MA: Birkhäuser, 1997.
4. C. I. Byrnes and A. Isidori, "Output regulation for nonlinear systems: An overview," Int. J. Robust Nonlinear Control, vol. 10, pp. 323-337, 2000.
5. A. Isidori, Nonlinear Control Systems, 3rd ed. New York: Springer-Verlag, 1995.
6. J. Huang and W. J. Rugh, "An approximation method for the nonlinear servomechanism problem," IEEE Trans. Automat. Contr., vol. 37, pp. 1395-1398, Oct. 1992.
7. J. Huang and C.-F. Lin, "On a robust nonlinear servomechanism problem," IEEE Trans. Automat. Contr., vol. 39, pp. 1510-1513, Nov. 1994.
8. J. Wang, J. Huang, and S. S. T. Yau, "Approximate nonlinear output regulation based on the universal approximation theorem," Int. J. Robust Nonlinear Control, vol. 10, pp. 439-456, 2000.
9. A. Serrani, A. Isidori, and L. Marconi, "Semiglobal output regulation with adaptive internal model," IEEE Trans. Automat. Contr., vol. 46, pp. 1178-1194, Sept. 2001.
10. A. Pavlov, N. van de Wouw, and H. Nijmeijer, "Convergent systems and the output regulation problem," presented at the 41st IEEE 2002 Conf. Decision Control, Las Vegas, NV, 2002.
11. ____, "The local output regulation problem: Convergence region estimates," presented at the Eur. Control Conf. 2003, Cambridge, U.K., 2003.
12. B. P. Demidovich, "Dissipativity of a nonlinear system of differential equations, Part I," Vestnik Moscow State Univ. Ser. Matem. Mekh., vol. 6, pp. 19-27, 1961.
13. ____, Lectures on Stability Theory. Moscow, U.S.S.R.: Nauka, 1967.
14. V. A. Yakubovich, "Matrix inequalities method in stability theory for nonlinear control systems: I. Absolute stability of forced vibrations," Automat. Rem. Control, no. 7, pp. 905-917, 1964.
15. D. Angeli, "A Lyapunov approach to incremental stability properties," IEEE Trans. Automat. Contr., vol. 47, pp. 410-421, Mar. 2002.
16. W. Lohmiller and J.-J. E. Slotine, "On contraction analysis for nonlinear systems," Automatica, vol. 34, pp. 683-696, 1998.
17. C.-J. Wan, D. S. Bernstein, and V. T. Coppola, "Global stabilization of the oscillating eccentric rotor," presented at the 33rd Conf. Decision Control, Lake Buena Vista, FL, 1994.
18. Z.-P. Jiang and A. Kanellakopoulos, "Global output-feedback tracking for a benchmark nonlinear system," IEEE Trans. Automat. Contr., vol. 45, pp. 1023-1027, July 2000.
19. H. K. Khalil, Nonlinear Systems, 2nd ed. Upper Saddle River, NJ: Prentice-Hall, 1996.
20. B. P. Demidovich, "Dissipativity of a nonlinear system of differential equations, Part II," Vestnik Moscow State Univ. Ser. Matem. Mekh., vol. 1, pp. 3-8, 1962.