Robust control of uncertain nonlinear systems via measurement feedback

IEEE Transactions on Automatic Control

Volumn 44, Issue 4, 1999, Pages 807-812

  Jiang, Zhong Ping ^a   Mareels, Iven ^b   Hill, David ^c  

^a POLYTECHNIC UNIVERSITY   (United States)

^b UNIVERSITY OF MELBOURNE   (Australia)

^c UNIVERSITY OF SYDNEY   (Australia)

Author keywords

[No Author keywords available]

Indexed keywords

CONTROL SYSTEM SYNTHESIS; FEEDBACK CONTROL; PROBLEM SOLVING; ROBUSTNESS (CONTROL SYSTEMS); SYSTEM STABILITY; THEOREM PROVING; UNCERTAIN SYSTEMS;

NONLINEAR GAIN THEOREM; STATE MEASUREMENT FEEDBACK;

NONLINEAR CONTROL SYSTEMS;

EID: 0032670713     PISSN: 00189286     EISSN: None     Source Type: Journal    
DOI: 10.1109/9.754823     Document Type: Article

References (19)

1. A. Bacciotti, "External stabilizability of nonlinear systems with some applications," Int. J. Robust Nonlinear Contr., to be published.
2. C. Byrnes, A. Isidori, and J. Willems, "Passivity, feedback equivalence, and the global stabilization of minimum phase nonlinear systems," IEEE Trans. Automat. Contr., vol. 36, pp. 1228-1240, 1991.
3. R. A. Freeman, "Global internal stabilizability does not imply global external stabilizability for small sensor disturbances," IEEE Trans. Automat. Contr. vol. 40, pp. 2119-2122, 1995.
4. _, "Time-varying feedback for the global stabilization of nonlinear systems with measurement disturbances," in Proc. 4th European Contr. Conf., Brussels, Belgium, July 1-4, 1997.
5. R. A. Freeman and P. V. Kokotović, "Global robustness of nonlinear systems to state measurement disturbances," in Proc. 32nd Conf. Dec. Contr., San Antonio, TX, 1993, pp. 1507-1512.
6. _, "Robust control Lyapunov functions: The measurement feedback case," in Proc. 33rd Conf. Decision and Control, Lake Buena Vista, FL, 1994, pp. 3533-3538.
7. Z. P. Jiang and I. Mareels, "Linear robust control of nonlinear systems with dynamic perturbations," in Proc. 34th IEEE Conf. Decision and Control, New Orleans, LA, 1995, pp. 2239-2245.
8. _, "A small gain control method for nonlinear cascaded systems with dynamic uncertainties," IEEE Trans. Automat. Contr., vol. 42, pp. 292-308, Mar. 1997.
9. Z. P. Jiang, I. Mareels, and J.-B. Pomet, "Output-feedback global stabilization for a class of nonlinear systems with unmodeled dynamics," European J. Contr., vol. 2, pp. 201-210, 1996.
10. Z. P. Jiang, A. Teel, and L. Praly, "Small-gain theorem for ISS systems and applications," Math. Control, Signals Syst., vol. 7, pp. 95-120, 1994.
11. N. Kalouptsidis and J. Tsinias, "Stability improvement of nonlinear systems by feedback," IEEE Trans. Automat. Contr., vol. 29, pp. 364-367, 1984.
12. P. V. Kokotović and H. J. Sussmann, "A positive real condition for global stabilization of nonlinear systems," Syst. Contr. Lett., vol. 13, pp. 125-133, 1989.
13. V. Lakshmikantham, V. M. Matrosov, and S. Sivasundaram, Vector Lyapunov Functions and Stability Analysis of Nonlinear Systems. New York: Kluwer, 1991.
14. I. M. Y. Mareels and D. J. Hill, "Monotone stability of nonlinear feedback systems," J. Math. Syst. Estimation Contr., vol. 2, pp. 275-291, 1992.
15. E. D. Sontag, "Smooth stabilization implies coprime factorization," IEEE Trans. Automat. Contr., vol. 34, pp. 435-443, 1989.
16. _, "Further facts about input-to-state stabilization," IEEE Trans. Automat. Contr., vol. 35, pp. 473-476, 1990.
17. _, "Input/output and state-space stability," New Trends in System Theory. Boston, MA: Birkhauser, 1991, pp. 684-691.
18. E. D. Sontag, "On the input to state stability property," European J. Contr., vol. 1, pp. 24-36, 1995.
19. E. D. Sontag and Y. Wang, "On characterizations of input-to-state stability with respect to compact sets," in Prep. NOLCOS'95, Tahoe City, CA, 1995, pp. 226-231.