Robust stabilization of nonlinear plants - An L2 approach

International Journal of Robust and Nonlinear Control

Volumn 6, Issue 7, 1996, Pages 691-726

  Pavel, Lacramioara ^a   Fairman, Frederick W ^a  

^a QUEEN S UNIVERSITY   (Canada)

Author keywords

Nonlinear L2(H ) control; Output feedback; Robust stabilization

Indexed keywords

LINEAR CONTROL SYSTEMS; OPTIMAL CONTROL SYSTEMS; ROBUSTNESS (CONTROL SYSTEMS); STATE SPACE METHODS; SYSTEM STABILITY;

OUTPUT FEEDBACK; ROBUST STABILIZATION;

NONLINEAR CONTROL SYSTEMS;

EID: 0030217422     PISSN: 10498923     EISSN: None     Source Type: Journal    
DOI: 10.1002/(SICI)1099-1239(199608)6:7<691::AID-RNC181>3.0.CO;2-Q     Document Type: Article

References (27)

1. Anderson, B., and J. Moore, Optimal Control: Linear Quadratic Methods, Prentice Hall, Englewood Cliffs, NJ, 1990.
2. ∞ control for nonlinear systems with output feedback', IEEE Trans. Automat. Control, AC-38, 547-559 (1993).
3. Corless, M. J., and G. Leitmann, 'Continuous state feedback guaranteeing uniform ultimate boundness for uncertain dynamic systems', IEEE Trans. Automat. Control, AC-26, 1139-1144 (1981).
4. Crouch, P. E., and A. J. van der Schaft, Variational and Hamiltonian Control Systems, Lecture Notes Contr. Inf. Sci. No 101, Springer-Verlag, Berlin, 1987.
5. Garrard, W. L., and J. M. Jordan, 'Design of nonlinear automatic flight control system', Automatica, 13, 497-505 (1977).
6. ∞ norm bound and relations to risk sensitivity', Syst. and Contr. Lett., 11, 167-172 (1988).
7. ∞ bounded uncertainty', IEEE Trans. Automat. Control, AC-34, 821-830 (1989).
8. Hill, D., and P. Moylan, 'The stability of nonlinear dissipative systems', IEEE Trans. Automat. Control, AC-21, 708-711 (1976).
9. Hill, D. J., and P. J. Moylan, 'Connections between finite gain and asymptotic stability', IEEE Trans. Automat. Control, AC-25, 931-936 (1980).
10. Imura, J., T. Sugie, and T. Yoshikawa, 'Global robust stabilization of nonlinear cascaded systems', in Proc. 31st Conf. of Decision and Control, Tucson, AZ, 1992, pp. 3031-3036.
11. ∞ state feedback control', in Proc. 32nd Conf. of Decision and Control, Texas, 1993, pp. 190-195; MCEG Technical Report No. 93-01, Department of Mechanical Engineering, Kyoto University, 1993.
12. ∞ state feedback', in Proc. 32nd Conf. of Decision and Control, Texas, 1993, pp. 1650-1651; MCEG Technical Report No. 93-03, Department of Mechanical Engineering, Kyoto University, 1993.
13. Isidori, A., 'Feedback control of nonlinear systems', in Proc. of 1st European Control Conf., Grenoble, France, July 1991, pp. 1000-1012.
14. Isidori, A., 'Feedback control of nonlinear systems', Int. J. Robust and Nonlinear Control, 2, 291-311 (1992).
15. ∞ control via measurement feedback for affine nonlinear systems', Int. J. Robust and Nonlinear Control, 4, 553-574 (1994).
16. ∞ control of nonlinear systems via output feedback: a class of controllers', in Proc. 32nd Conf. of Decision and Control, Texas, 1993, pp. 166-171; Technical Memorandum No. CIT-CDS 93-008, California Institute of Technology, 1993.
17. Lukes, D. L, 'Optimal regulation of nonlinear dynamical systems', SIAM J. Control, 7, 75-100 (1969).
18. Moore, J. B., and L. Irlicht, 'Coprime factorization over a class of nonlinear systems', Int. J. Robust and Nonlinear Control, 2, 261-290 (1992).
19. Paice, A. D. B., J. B. Moore, and R. Horowitz, 'Nonlinear feedback system stability viacoprime factorization analysis', J. Math. Systems, Estimation and Control, 2, 293-321 (1992).
20. ∞ control for nonlinear systems', in Proc. Eur. Contr. Conf. 1993, 2, 416-419 1993.
21. ∞-control', IEEE Trans. Automat. Control, AC-37, 770-784 (1992).
22. Scherpen, J. M. A., 'Balancing for nonlinear systems', Syst. and Contr. Lett., 21, 143-153 (1993).
23. Scherpen, J. M. A., and A. J. van der Schaft, 'Normalized coprime factorizations and balancing for unstable nonlinear systems', Mem. No. 1155, Faculty of Applied Mathematics, University of Twente, 1993.
24. ∞ problems', in Proc. 33rd Conf. on Decision and Control, Orlando, FL, 1994, pp; 2257-2258.
25. Verma, M. S., and L. R. Hunt, 'Right coprime factorizations and stabilization for nonlinear systems', IEEE Trans. Automat. Control, AC-38, 222-231 (1993).
26. Vidyasagar, M., Nonlinear Systems Analysis, 2nd edn, Prentice Hall, Englewood Cliffs, NJ, 1993.
27. Willems, J. C., 'Dissipative dynamical systems, Part I: General theory', Arch. Rat. Mech Anal., 45, 321-351 (1972).