On impulsive modes of linear singular systems subject to decentralized output feedback

IEEE Transactions on Automatic Control

Volumn 48, Issue 10, 2003, Pages 1804-1809

  Yu, Runyi ^a   Wang, Dianhui ^b  

^a EASTERN MEDITERRANEAN UNIVERSITY   (Turkey)

^b LA TROBE UNIVERSITY   (Australia)

Author keywords

Controllability and observability; Decentralized control; Impulsive modes; Output feedback; Singular systems

Indexed keywords

CLOSED LOOP CONTROL SYSTEMS; CONTROLLABILITY; DECENTRALIZED CONTROL; EIGENVALUES AND EIGENFUNCTIONS; MATRIX ALGEBRA; OBSERVABILITY; POLYNOMIALS; SET THEORY; STATE FEEDBACK;

DECENTRALIZED OUTPUT FEEDBACK; GEOMETRIC MULTIPLICITY; IMPULSIVE MODES; SINGULAR SYSTEMS;

LINEAR CONTROL SYSTEMS;

EID: 0242333991     PISSN: 00189286     EISSN: None     Source Type: Journal    
DOI: 10.1109/TAC.2003.817933     Document Type: Article

References (24)

1. T. N. Chang and E. J. Davison, "Decentralized control of descriptor systems," IEEE Trans. Automat. Contr., vol. 46, pp. 1589-1595, Oct. 2001.
2. D. L. Chu and D. W. C. Ho, "Necessary and sufficient conditions for the output feedback regularization of descriptor systems," IEEE Trans. Automat. Contr., vol. 44, pp. 405-412, Feb. 1999.
3. D. Cobb, "Controllability, observability, and duality in singular systems," IEEE Trans. Automat. Contr., vol. AC-29, pp. 1076-1082, Dec. 1984.
4. L. Dai, Singular Control Systems. Berlin, Germany: Springer-Verlag, 1989, Lecture Notes in Control and Information Sciences.
5. L. R. Flecher, "Regularizability of descriptor systems," Int. J. Syst. Sci., vol. 47, pp. 843-847, 1986.
6. W. Fulton, Algebraic Topology: A First Course. Berlin, Germany: Springer-Verlag, 1995.
7. A. Bunse-Gerstner, V. Mehrmann, and N. K. Nichols, "Regularization of descriptor systems by output feedback," IEEE Trans. Automat. Contr., vol. 39, pp. 1742-1748, Aug. 1994.
8. I. Gohberg, R. Lancaster, and L. Rodman, Invariant Subspaces of Matrices With Application. New York: Willey, 1986.
9. F. L. Lewis, "Survey of linear singular systems," Circuits Syst., Signal Processing, vol. 5, pp. 3-36, 1986.
10. R. Mukundan and W. Dayawansa, "Feedback control of singular systems-proportional and derivative feedback of the state," Int. J. Syst. Sci., vol. 14, pp. 615-632, 1983.
11. V. Lovass-Nagy, D. L. Powers, and R. J. Schiling, "On regularizing of descriptor systems by output feedback," IEEE Trans. Automat. Contr., vol. 39, pp. 1507-1509, July 1994.
12. M. Malabre and V. Kucera, "Infinite structure and exact model matching problem: a geometric approach," IEEE Trans. Automat. Contr., vol. AC-29, pp. 266-268, Mar. 1984.
13. K. Ozcaldiran and F. L. Lewis, "On the regularizability of singular systems," IEEE Trans. Automat. Contr., vol. 35, pp. 1156-1160, Oct. 1990.
14. J. M. Potter, B. D. O. Anderson, and A. S. Morse, "Single-channel control of a two-channel systems," IEEE Trans. Automat. Contr., vol. AC-24, pp. 491-492, June 1979.
15. G. C. Verghese, B. C. Levy, and T. Kailath, "A generalized state-space for singular systems," IEEE Trans. Automat. Contr., vol. AC-26, pp. 811-831, Aug. 1981.
16. D. Wang, C. B. Soh, and X. K. Xie, "Rank of matrix pencils at infinity and its applications in descriptor systems," in Proc. Amer. Control Conf., Albuquerque, NM, 1997 pp. 2583-2584.
17. D. Wang and C. B. Soh, "On regularizing singular systems by decentralized output feedback," IEEE Trans. Automat. Contr., vol. 44, pp. 148-152, Jan. 1999.
18. M. Wonham, Linear Multivariable Control: A Geometric Approach. Berlin, Germany: Springer-Verlag, 1985.
19. X. K. Xie, "A new matrix identity in control theory," in Proc. 24th IEEE Conf. Decision Control, vol. 1, 1985, pp. 539-541.
20. X. K. Xie and D. Wang et al., "A unified approach to study fixed modes in singular systems," Acta Automatica Sinica, vol. 21, pp. 153-164, 1995.
21. E. L. Yip and R. F. Sincovec, "Solvability, controllability and observability of continuous descriptor systems," IEEE Trans. Automat. Contr., vol. AC-26, pp. 702-707, June 1981.
22. J. Y. Ishihara and M. H.Terra, "Impulse controllability and observability of rectangular descriptor systems," IEEE Trans. Automat. Contr., vol. 46, pp. 991-994, June 2001.
23. R. Yu and D. Wang, "Algebraic properties of singular systems subject to static output feedback," IEEE Trans. Automat. Contr., vol. 47, pp. 1898-1903, Nov. 2002.
24. ____, "Structural properties and pole assignability of LTI singular systems under output feedback," Automatica, vol. 39, pp. 685-692, 2003.