Existence and design of observers for nonlinear systems: Relation to distance to unobservability

International Journal of Control

Volumn 69, Issue 5, 1998, Pages 717-731

  Rajamani, R ^a   Cho, Y M ^a  

^a UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CONTROL SYSTEM ANALYSIS; LINEARIZATION; MATHEMATICAL MODELS; MATHEMATICAL TRANSFORMATIONS; OBSERVABILITY; ROBOTICS; STATE ESTIMATION;

LIPSCHITZ NONLINEAR SYSTEMS; UNOBSERVABILITY;

NONLINEAR CONTROL SYSTEMS;

EID: 0032022294     PISSN: 00207179     EISSN: 13665820     Source Type: Journal    
DOI: 10.1080/002071798222640     Document Type: Article

References (19)

1. Byers, R., 1988, A bisection method for measuring the distance of a stable matrix to the unstable matrices. SIAM Journal of Scientific and Statistical Computing, 9, 875-881; 1990, Detecting nearly uncontrollable pairs. Proceedings of the International Symposium on Numerical Methods, pp. 447-457, MTNS-89.
2. Cho, Y. M., and Rajamani, R., 1997, Systematic adaptive observer synthesis for nonlinear systems. IEEE Transactions on Automatic Control, 42, 534-537.
3. Eising, R., 1984, Between controllable and uncontrollable, Systems and Control Letters, 4, 263-264.
4. Esfandiari, F., and Khalil, H. K., 1992, Output feedback stabilization of full linearizable systems. International Journal of Control, 56, 1007-1037.
5. ∞ Control Theory. Lecture Notes in Control and Information Sciences, Vol. 88, (New York: Springer-Verlag).
6. Isidori, A., 1989, Nonlinear Control Systems, 2nd edn (New York: Springer-Verlag).
7. Kanellakopoulus, I., Kokotovic, P. V., and Morse, A. S., 1992, A toolkit for nonlinear feedback design. Systems & Control Letters, 18, 83-92.
8. Kokotovic, P. V., 1991, The joy of feedback: nonlinear and adaptive. The 1991 Bode prize Lecture. Proceedings of the IEEE Conference on Decision and Control.
9. Krstic, M., and Kokotovic, P. V., 1994, Observer-based schemes for adaptive nonlinear state-feedback control. International Journal of Control, 59, 1373-1381.
10. Kou, S. R., Elliott, D. L., and Tarn, T.-J., 1975, Exponential observers for nonlinear dynamic systems. Information and Control, 29, 204-216.
11. Krener, A. J., and Isidori, A., 1983, Linearization by output injection and nonlinear observers. Systems & Control Letters, 3, 47-52.
12. Krener, A. J., and Respondek, W., 1985, Nonlinear observers with linearizable error dynamics. SIAM Journal of Control and Optimization, 23, 197-216.
13. Misawa, E. A., Hedrick, J. K., Slotine, J. J. E., and Verghese, G. C., 1989, Sliding observer design for nonlinear state estimation. Proceedings of the IFAC Nonlinear Control Systems Design Conference, Capri, Italy, 1989, pp. 285-290.
14. Patel, R. V., and Toda, M., 1980, Quantitative measures of robustness in multivariable systems. Proceedings of the American Control Conference, pp. TP8-A, San Francisco.
15. Raghavan, S., 1992, Observers and compensators for nonlinear systems, with application to flexible-joint robots. Ph.D. Dissertation, University of California at Berkeley, Berkeley, CA 94720, U.S.A.
16. Rajamani, R., 1993, Observers for nonlinear systems, with application to active automotive suspensions. Ph.D. Dissertation, University of California, Berkeley, U.S.A.
17. Spong, M., 1987, Modeling and control of elastic joint robots. ASME Journal of Dynamic Systems, Measurement and Control, 109, 310-319.
18. Thau, F. E., 1973, Observing the state of nonlinear dynamic systems. International Journal of Control, 17, 3.
19. Xiao-Hua, X., and Gao, W., 1989, Nonlinear observer design by observer error linearization. SIAM Journal of Control and Optimization, 27, 199-216.