State Observation of Nonlinear Uncertain Dynamical Systems

IEEE Transactions on Automatic Control

Volumn 32, Issue 2, 1987, Pages 166-170

  Walcott, B L ^a   Zak, S H ^a  

^a PURDUE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

MATHEMATICAL TECHNIQUES - STATE SPACE METHODS;

VARIABLE-STRUCTURE SYSTEMS THEORY;

CONTROL SYSTEMS, NONLINEAR;

EID: 0023288979     PISSN: 00189286     EISSN: 15582523     Source Type: Journal    
DOI: 10.1109/TAC.1987.1104530     Document Type: Article

References (14)

1. F. E. Thau, “Observing the state of non-linear dynamic systems,” Int. J. Contr., vol. 17, pp. 471-479, 1973.
2. D. Bestle and M. Zeitz, “Canonical form observer design for non-linear time-variable systems,” Int. J. Contr., vol. 38, no. 2, pp. 419–431, 1983.
3. W. Baumann and W. Rugh, “Feedback control of nonlinear systems by extended linearization,” IEEE Trans. Automat. Contr., vol. AC-31, no. 1, pp. 40–47, 1986.
4. A. J. Krenner and W. Respondek, “Nonlinear observers and linearizable error dynamics,” SIAM J. Contr. Optimiz., vol. 23, no. 2, pp. 197–216, 1985.
5. S. R. Kou, D. L. Elliott, and T. J. Tam, “Exponential observers for nonlinear dynamic systems,” Inf. and Contr., vol. 29, no. 3, pp. 204–216, 1975.
6. J-J. Slotine. J. K. Hedrick, and E. A. Misawa, “On sliding observers for nonlinear systems,” in Proc. 1986 Amer. Contr. Conf., Seattle, WA, 1986, pp. 1794–1800.
7. B. L. Walcott and S. H. Zak, “Observation of dynamical systems in the presence of bounded nonlinearities/uncertainties,” in Proc. 25th Conf. Decision Contr., Athens, Greece, Dec. 1986.
8. K. Ogata, Modern Control Engineering. Englewood Cliffs, NJ: Prentice-Hall, 1970.
9. O. Hajek, “Discontinuous differential equations I, II,” J. Differential Eq., vol. 32, no. 2, 1979.
10. J. J. Slotine, “Sliding controller design for nonlinear systems,” Int. J. Contr., vol. 40, no. 2, pp. 421–434, 1984.
11. J. C. Willems, Stability Theory of Dynamical Systems. New York: Wiley, 1970.
12. M. J. Corless and G. Leitmann, “Continuous state feedback guaranteeing uniform ultimate boundedness for uncertain dynamic systems,” IEEE Trans. Automat. Contr., vol. AC-26, no. 5, pp. 1139–1143, 1981.
13. A. S. Vostrikov, Dynamical Systems Control, Novosibirsk Institute of Elec. Eng. (in Russian) Novosibirsk, 1979.
14. A. Steinberg and M. Corless, “Output feedback stabilization of uncertain dynamical systems,” IEEE Trans. Automat. Contr., vol. AC-30, no. 10, pp. 1025–1027, 1985.