Observer design for a class of uncertainState-delayed nonlinear systems

International Journal of Control, Automation and Systems

Volumn 4, Issue 4, 2006, Pages 448-455

  Lu, Junwei ^a   Feng, Chunmei ^a   Xu, Shengyuan ^b   Chu, Yuming ^c  

^a NANJING NORMAL UNIVERSITY   (China)

^b NANJING UNIVERSITY OF SCIENCE AND TECHNOLOGY   (China)

^c HUZHOU UNIVERSITY   (China)

Author keywords

Linear matrix inequality; Nonlinear systems; Robust observer; Time delay systems; Uncertain systems

Indexed keywords

ASYMPTOTIC STABILITY; ERROR ANALYSIS; NUMERICAL ANALYSIS; PARAMETER ESTIMATION; PROBLEM SOLVING; TIME VARYING NETWORKS; UNCERTAIN SYSTEMS;

LINEAR MATRIX INEQUALITY; ROBUST OBSERVER; TIME-DELAY SYSTEMS;

NONLINEAR SYSTEMS;

EID: 33746926370     PISSN: 15986446     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (23)

1. C.-T. Chen, Linear System Theory and Design, Holt Rinehart and Winston, New York, 1984.
2. J. O'Reilly, Observers for Linear Systems, Academic Press, New York, 1983.
3. S.-Y. Zhang, "Function observer and state feedback," Int. J. Control, vol. 46, no. 4, pp. 1295-1305, 1987.
4. B. R. Barmish and A. R. Galimidi, "Robustness of Luenberger observers: Linear systems stabilized via nonlinear control," Automatica, vol. 22, no. 4, pp. 413-423, 1986.
5. X. Ding, P. M. Frank, and L. Guo, "Robust observer design via factorization," Proc. of the 29th Conf. Decision Control, pp. 3623-3628, 1990.
6. L. Xie and Y. C. Soh, "Robust Kalman filtering for uncertain systems," Systems and Control Letters, vol. 22, no. 2, pp. 123-129, 1994.
7. ∞, filtering for a class of uncertain nonlinear time-delay systems," IEEE Trans. on Automatic Control, vol. 48, no. 9, pp. 1661-1666, 2003.
8. ∞, filtering for uncertain discrete-time state-delayed systems," IEEE Trans. on Signal Processing, vol. 52, no. 6, pp. 1631-1640, 2004.
9. H. S. Gorecki, P. Fuska, S. Grabowski, and A. Korytowski, Analysis and Synthesis of Time Delay Systems, Wiley, New York, 1989.
10. V. B. Kolmanovskii and A. D. Myshkis, Introduction to the Theory and Applications of Functional Differential Equations, Kluwer Academic Publishers, Dordrecht, 1999.
11. S. Xu, P. Van Dooren, R. Stefan, and J. Lam, "Robust stability and stabilization for singular systems with state delay and parameter uncertainty," IEEE Trans. on Automatic Control, vol. 47, no. 7, pp. 1122-1128, 2002.
12. Y. X. Yao, Y. M. Zhang, and R. Kovacevic, "Functional observer and state feedback for input time-delay systems," Int. J. Control, vol. 66, no. 4, pp. 603-617, 1997.
13. H. Trinh and M. Aldeen, "A memoryless state observer for discrete time-delay systems," IEEE Trans. on Automatic Control, vol. 42, no. 11, pp. 1572-1577, 1997.
14. A. Isidori, Nonlinear Control Systems, Springer-Verlag, New York, 1989.
15. A. J. Krener and W. Respondek, "Nonlinear observers with linearizable error dynamics," SIAM J. Control Optim., vol. 23, no. 2, pp. 179-216, 1985.
16. R. Rajamani, "Observers for Lipschitz nonlinear systems," IEEE Trans. on Automatic Control, vol. 43, no. 3, pp. 397-401, 1998.
17. ∞, approach," Int. J. Robust & Nonlinear Control, vol. 6, no. 4, pp. 297-312, 1996.
18. E. Yaz and W. Na Nacara, "Nonlinear estimation by covariance assignment," Preprints of the 12th IFAC World Congress, vol. 6, pp. 87-90, 1993.
19. Z. Wang and H. Unbehauen, "Nonlinear observers for a class of continuous-time uncertain state delayed systems," Int. J. Systems Sci., vol. 31, no. 5, pp. 555-562, 2000.
20. Y. Wang, L. Xie, and C. E. de Souza, "Robust control of a class of uncertain nonlinear systems," Systems and Control Letters, vol. 19, no. 2, pp. 139-149, 1992.
21. Y. S. Moon, P. Park, W. H. Kwon, and Y. S. Lee, "Delay-dependent robust stabilization of uncertain state-delayed systems," Int. J. Control, vol. 74, no. 14, pp. 1447-1455, 2001.
22. S. Boyd, L. El Ghaoui, E. Feron, and V. Balakrishnan, Linear Matrix Inequalities in System and Control Theory, SIAM Studies in Applied Mathematics, SIAM, Philadelphia, Pennsylvania, 1994.
23. A. Z. Manitius, "Feedback controllers for a wind tunnel model involving a delay: Analytical design and numerical simulation," IEEE Trans. on Automatic Control, vol. 29, no. 12, pp. 1058-1068, 1984.