Observer Design for A Class of UncertainState-Delayed Nonlinear Systems |
Lu Junwei
(School of Electrical and Automation Engineering, Nanjing Normal University)
Feng Chunmei (School of Electrical and Automation Engineering, Nanjing Normal University) Xu Shengyuan (Department of Automation, Nanjing University of Science and Technology) Chu Yuming (Department of Mathematics, Huzhou Teacher's College) |
1 | H. S. Gorecki, P. Fuska, S. Grabowski, and A. Korytowski, Analysis and Synthesis of Time Delay Systems, Wiley, New York, 1989 |
2 | 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 DOI ScienceOn |
3 | L. Xie, C. E. de Souza, and Y. Wang, 'Robust filtering for a class of discrete-time uncertain nonlinear systems: An approach,' Int. J. Robust & Nonlinear Control, vol. 6, no. 4, pp. 297-312, 1996 DOI ScienceOn |
4 | E. Yaz and W. Na Nacara, 'Nonlinear estimation by covariance assignment,' Preprints of the 12th IFAC World Congress, vol. 6, pp. 87- 90, 1993 |
5 | 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 DOI |
6 | 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 DOI ScienceOn |
7 | V. B. Kolmanovskii and A. D. Myshkis, Introduction to the Theory and Applications of Functional Differential Equations, Kluwer Academic Publishers, Dordrecht, 1999 |
8 | J. O'Reilly, Observers for Linear Systems, Academic Press, New York, 1983 |
9 | H. Gao and C. Wang, 'A delay-dependent approach to robust filtering for uncertain discrete-time state-delayed systems,' IEEE Trans. on Signal Processing, vol. 52, no. 6, pp. 1631-1640, 2004 DOI ScienceOn |
10 | C.-T. Chen, Linear System Theory and Design, Holt Rinehart and Winston, New York, 1984 |
11 | A. Isidori, Nonlinear Control Systems, Springer-Verlag, New York, 1989 |
12 | X. Ding, P. M. Frank, and L. Guo, 'Robust observer design via factorization,' Proc. of the 29th Conf. Decision Control, pp. 3623-3628, 1990 |
13 | 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 DOI ScienceOn |
14 | 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 |
15 | H. Gao and C. Wang, 'Delay-dependent robust and L2- filtering for a class of uncertain nonlinear time-delay systems,' IEEE Trans. on Automatic Control, vol. 48, no. 9, pp. 1661-1666, 2003 DOI ScienceOn |
16 | 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 DOI ScienceOn |
17 | 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 DOI ScienceOn |
18 | L. Xie and Y. C. Soh, 'Robust Kalman filtering for uncertain systems,' Systems and Control Letters, vol. 22, no. 2, pp. 123-129, 1994 DOI ScienceOn |
19 | S.-Y. Zhang, 'Function observer and state feedback,' Int. J. Control, vol. 46, no. 4, pp. 1295-1305, 1987 DOI ScienceOn |
20 | 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 DOI ScienceOn |
21 | 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 DOI |
22 | A. J. Krener and W. Respondek, 'Nonlinear observers with linearizable error dynamics,' SIAM J. Control Optim., vol. 23, no. 2, pp. 179- 216, 1985 |
23 | R. Rajamani, 'Observers for Lipschitz nonlinear systems,' IEEE Trans. on Automatic Control, vol. 43, no. 3, pp. 397-401, 1998 DOI ScienceOn |