Semiglobal L2 performance bounds for disturbance attenuation in nonlinear systems

IEEE Transactions on Automatic Control

Volumn 44, Issue 8, 1999, Pages 1535-1545

  Isidori, Alberto ^a,b,c   Schwartz, Ben ^a,b   Tarn, T J ^a,b  

^a IEEE

^b WASHINGTON UNIVERSITY   (United States)

^c SAPIENZA UNIVERSITY OF ROME   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

ATTENUATION; BOUNDARY CONDITIONS; CLOSED LOOP CONTROL SYSTEMS; NONLINEAR CONTROL SYSTEMS; NUMERICAL METHODS; SYSTEM STABILITY; VECTORS;

DISTURBANCE ATTENUATION; INTERNAL STABILITY; SEMIGLOBAL SOLUTIONS; UPPER BOUND;

CONTROL THEORY;

EID: 0033353262     PISSN: 00189286     EISSN: None     Source Type: Journal    
DOI: 10.1109/9.780417     Document Type: Article

References (21)

1. Z. Artstein, "Stabilization via relaxed controls," Nonlinear Anal., vol. 7, pp. 1163-1173, 1983.
2. A. Isidori, Nonlinear Control Systems, 3rd ed. London, U.K.: Springer-Verlag, 1995.
3. _, "A note on almost disturbance decoupling for nonlinear minimum phase systems," Syst. Contr. Lett., vol. 27, pp. 191-194, 1996.
4. _, "Global almost disturbance decoupling with stability for non minimum-phase single-input single-output nonlinear systems," Syst. Contr. Lett., vol. 28, pp. 115-122, 1996.
5. ∞-gain," Syst. Contr. Lett., vol. 24, pp. 321-332, 1995.
6. Z.-P. Jiang, I. M. Y. Mareels, and Y. Wang, "A Lyapunov formulation of the nonlinear small-gain theorem for interconnected ISS systems," Automatica, vol. 32, pp. 1211-1215, 1996.
7. M. Krstić, I. Kanellakopoulos, and P. V. Kokotović, Nonlinear and Adaptive Control Design. New York: Wiley, 1995.
8. Z. Lin, Almost Disturbance Decoupling with Global Asymptotic Stability for Nonlinear Systems with Disturbance Affected Unstable Zero Dynamics, to be published.
9. ∞ almost disturbance decoupling," Syst. Contr. Lett., vol. 23, pp. 159-168, 1994.
10. P. Sannuti and A. Saberi, "A special coordinate basis of multivariable linear systems - Finite and infinite zero structure, squaring down, and decoupling," Int. J. Contr., vol. 45, no. 5, pp. 1655-1704, 1987.
11. ∞-control by state-feedback for plants with zeros on the imaginary axis," SIAM J. Contr. Optimiz., vol. 30, no. 1, pp. 123-142, 1992.
12. 2 disturbance attenuation and performance bounds for linear nonminimum phase square invertible systems," presented at the 35th IEEE Conf. Decision and Control, 1996.
13. E. D. Sontag, "On the input-to-state stability property," European J. Contr., vol. 1, pp. 24-36, 1995.
14. E. D. Sontag and Y. Wang, "On characterizations of the input-to-state stability property," Syst. Contr. Lett., vol. 24, pp. 351-359, 1995.
15. E. D. Sontag, "Smooth stabilization implies coprime factorization," IEEE Trans. Automat. Contr., vol. 34, pp. 435-443, 1989.
16. E. D. Sontag and A. Teel, "Changing supply functions in input/state stable systems," IEEE Trans. Automat. Contr., vol. 40, pp. 1476-1478, 1995.
17. E. D. Sontag, "A "universal" construction of Artstein's theorem on nonlinear stabilization," Syst. Contr. Lett., vol. 13, pp. 117-123, 1989.
18. ∞ control," IEEE Trans. Automat. Contr., vol. 37, pp. 770-784, 1992.
19. ∞ control," Syst. Contr. Lett., vol. 16, pp. 1-8, 1991.
20. S. Weiland and J. C. Willems, "Almost disturbance decoupling with internal stability," IEEE Trans. Automat. Contr., vol. 34, pp. 277-286, 1989.
21. J. C. Willems, "Almost invariant subspaces An approach to high gain feedback design-part I: Almost controlled invariant subspaces," IEEE Trans. Automat. Contr., vol. AC-26, pp. 235-252, 1981.