New algorithm for observer error linearization with a diffeomorphism on the outputs

Automatica

Volumn 45, Issue 10, 2009, Pages 2187-2193

  Boutat, D ^a   Benali, A ^a   Hammouri, H ^b,c   Busawon, K ^d  

^a ENSI de Bourges   (France)

^b UNIVERSITÉ DE LYON   (France)

^c UNIVERSITÉ LYON 1   (France)

^d NORTHUMBRIA UNIVERSITY   (United Kingdom)

Author keywords

Nonlinear observers; Observable canonical form; Observer error linearization

Indexed keywords

CANONICAL FORM; DIFFEOMORPHISMS; LINEAR ERROR DYNAMICS; MULTI-OUTPUT; NONLINEAR OBSERVERS; OBSERVABLE CANONICAL FORM; OBSERVER ERROR LINEARIZATION; OBSERVER ERRORS; SUFFICIENT CONDITIONS;

LINEARIZATION; NONLINEAR DYNAMICAL SYSTEMS;

DYNAMICAL SYSTEMS;

EID: 70049096198     PISSN: 00051098     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.automatica.2009.05.030     Document Type: Article

References (14)

1. Abraham R., and Marsden J.E. Foundation of mechanics (1966), Princeton, New Jersey
2. Boutat D., Zheng G., Barbot J.P., and Hammouri H. Observer error linearization multi-output depending. Proceedings of IEEE CDC (2006)
3. Boutat, D., Benali, A., & Hammouri, H. (2007). Geometrical conditions for observer error linearization with a diffeomorphism on the outputs. In 7th IFAC symposium on nonlinear control systems
4. Busawon K., Farza M., and Hammouri H. A simple Observer for a class of nonlinear systems. Applied Mathematics Letters 11 3 (1998) 27-31
5. Guay M. Observer linearization by output-dependent time-scale transformations. IEEE Transactions on Automatic Control 47 10 (2002) 1730-1735
6. Hou M., and Pugh A.C. Observer with linear error dynamics for nonlinear multi-output systems. Systems and Control Letters 37 (1999) 1-9
7. Krener A.J., and Isidori A. Linearization by output injection and nonlinear observer. Systems and Control Letters 3 (1983) 47-52
8. Krener A.J., and Respondek W. Nonlinear observer with linearizable error dynamics. SIAM Journal on Control and Optimization 30 (1985) 197-216
9. Lopez M.V., Plestan F., and Glumineau A. Linearization by completely generalized input ouput injection. Kybernetika 35 6 (1999) 793-802
10. Marino R., and Tomei P. Nonlinear control design: geometric, adaptive and robust (1995), Prentice Hall
11. Phelps A. On constructing nonlinear observers. SIAM Journal on Control and Optimization 29 (1991)
12. Plestan F., and Glumineau A. Linearization by generalized input output injection. Systems and Control Letters 31 (1997) 115-128
13. Respondek W., Pogromsky A., and Nijmeijer H. Time scaling for observer design with linearization erro dynamics. Transactions on Automatic Control 3 (2004) 199-216
14. Xia X.H., and Gao W.B. Nonlinear observer with linearizable error dynamics. SIAM Journal on Control and Optimization 27 (1989) 199-216