Time scaling for observer design with linearizable error dynamics

Automatica

Volumn 40, Issue 2, 2004, Pages 277-285

  Respondek, W ^a   Pogromsky, A ^b   Nijmeijer, H ^b  

^a Avenue de l Université 76801 Saint Etienne du Rouvray   (France)

^b EINDHOVEN UNIVERSITY OF TECHNOLOGY   (Netherlands)

Author keywords

Linearization; Observers; Output injection; Time scaling

Indexed keywords

ASYMPTOTIC STABILITY; ERROR ANALYSIS; LYAPUNOV METHODS; MATHEMATICAL TRANSFORMATIONS; NONLINEAR SYSTEMS; STATE SPACE METHODS;

DYNAMICAL SYSTEMS; TIME SCALING;

LINEARIZATION;

EID: 0346724495     PISSN: 00051098     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.automatica.2003.09.012     Document Type: Article

References (19)

1. Bestle D., Zeitz M. Canonical form observer design for non-linear time-varying systems. International Journal of Control. 38:1983;419-443.
2. Gauthier J.P., Hammouri H., Othman S. A simple observer for nonlinear systems. Application to bioreactors IEEE Transactions on Automatic Control. 37:1992;875-880.
3. Gauthier J.P., Kupka I. Deterministic observation theory and applications. 2001;Cambridge University Press, New York, NY.
4. Guay M. An algorithm for orbital feedback linearization of single-input control affine systems. System and Control Letters. 38:1999;271-281.
5. Guay, M. (2001). Observer linearization by output diffeomorphism and output-dependent time-scale transformations. In NOLCOS'01, (pp. 1443-1446) Saint Petersburg, Russia.
6. Hammouri H., Gauthier J.P. Bilinearization up to output injection. System and Control Letters. 11:1988;139-149.
7. Isidori A. Nonlinear control systems. 2nd ed. 1989;Springer, Berlin.
8. Keller H. Nonlinear observer design by transformation into a generalized observer canonical form. International Journal of Control. 46:1987;1915-1930.
9. Krener A.J., Isidori A. Linearization by output injection and nonlinear observers. System and Control Letters. 3:1983;47-52.
10. Krener A.J., Respondek W. Nonlinear observers with linearizable error dynamics. SIAM Journal of Control Optimization. 23:1985;197-216.
11. Moya, P., Ortega, R., Netto, L. S., Praly, L., & Picó, J. (2001). Application of nonlinear time-scaling for robust controller design of reaction systems. International Journal of Nonlinear Robust Control, to appear.
12. Nijmeijer H., Van der Schaft A.J. Nonlinear dynamical control systems. 1990;Springer, Berlin.
13. Phelps A.R. On constructing nonlinear observers. SIAM Journal of Control Optimization. 29:1991;516-534.
14. Plestan F., Glumineau A. Linearization by generalized output injection. System and Control Letters. 31:1997;115-128.
15. Respondek, W. (1985). Linearization, feedback and Lie brackets. In B. Jakubczyk, W. Respondek, K. Tchoń (Eds.), Geometric theory of nonlinear control systems, (pp. 131-166) Wroclaw: Technical University of Wroclaw.
16. Respondek, W. (1998). Orbital feedback linearization of single-input nonlinear control systems. In NOLCOS'98, Enschede, The Netherlands (pp. 499-504).
17. Respondek, W., Pogromsky, A., & Nijmeijer, H. (2001). Time-scaling for linearization of observable dynamics. In NOLCOS'01; (pp. 563-568). St. Petersburg, Russia.
18. Sampei M., Furuta K. On time scaling for nonlinear systems: application to linearization. IEEE Transactions on Automatic Control. 31:1986;459-462.
19. Xia X.-H., Gao W.-B. Nonlinear observer design by observer error linearization. SIAM Journal of Control Optimization. 27:1989;199-216