Regularization and stabilization of rectangular descriptor systems by decentralized dynamic compensation

Kongzhi Lilun Yu Yingyong/Control Theory and Applications

Volumn 25, Issue 2, 2008, Pages 210-216

  Zhang, Guo Shan ^a  

^a TIANJIN UNIVERSITY   (China)

Author keywords

Dynamic compensation; Rectangular descriptor systems; Regularization; Stabilization

Indexed keywords

DYNAMIC COMPENSATION; RECTANGULAR DESCRIPTOR SYSTEMS; REGULARIZATION; SQUARE SYSTEMS;

CLOSED LOOP SYSTEMS; LINEAR SYSTEMS;

DECENTRALIZED CONTROL;

EID: 45449119338     PISSN: 10008152     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (28)

1. LEWIS F L. A survey of linear singular systems[J]. Circuits System, Signal Processing, 1986, 5(1): 3-36.
2. DZIURLA S, NEWCOMB R W. Input-output pairing in LTV semistate systems[J]. IEEE Transactions on Circuit and Systems, 1989, 36(1): 139-141.
3. DAI L. Singular Control Systems-Lecture Notes in Control and Information Science[M]. Berlin, Germany: Springer-Verlag, 1989.
4. HODGE A M, NEWCOMB R W. Semistate theory and analogue VLSI design[J]. IEEE Circuit and System Magazine, 2002, 2(1): 30-51.
5. VERGHESE G C, LEVY B C, KAILATH T. A generalized statespace for singular systems[J]. IEEE Transactions on Automatic Control, 1981, 26(8): 811-831.
6. OZCALDIRAN K, LEWIS F L. On the regularizability of singular systems[J]. IEEE Transactions on Automatic Control, 1990, 35(10): 1156-1160.
7. BUNSE-GERSTNER A, MEHRMANN V, NOCHOLS N K. Regularization of descriptor systems by output feedback[J]. IEEE Transactions on Automatic Control, 1994, 39(8): 1734-1748.
8. LOVASS-NAGY V, POWERS D L, SCHILING R J. On regularizing of descriptor systems by output feedback[J]. IEEE Transactions on Automatic Control, 1994, 39(7): 1507-1509.
9. CHU D L, HO D W C. Necessary and sufficient conditions for the output feedback regularization of descriptor systems[J]. IEEE Transactions on Automatic Control, 1999, 44(2): 405-412.
10. ISHIHARA J Y, TERRA M H. Impulse controllability and observability of rectangular descriptor systems[J]. IEEE Transations on Automatic Control, 2001, 46(6): 991-994.
11. HOU M. Controllability and elimination of impulsive modes in descriptor systems[J]. IEEE Transactions on Automatic Control, 2004, 49(10): 1723-1727.
12. ZHANG Guoshan. Regularization and pole-placement of descriptor systems by dynamic compensation[J]. Control and Decision, 2006, 21(1): 51-55.
13. ZHANG Guoshan. Regularizability, controllability and observability of rectangular descriptor systems by dynamic compensation[C]//Proceedings of American Control Conference. Minneapolis, Minnesota, USA: IEEE Press, 2006, 12(6): 4393-4398.
14. WANG S H, DAVISON E J. On the stabilization of decentralized control systems[J]. IEEE Transactions on Automatic Control, 1973, 18(10): 473-478.
15. CHANG T N, DAVISON E J. Decentralized control of descriptor type systems[C]//Proceedings of Conference on Decision and Control. Athens, Greece: IEEE Press, 1986: 1176-1181.
16. DAVISON E J, CHANG T N. Decentralized stabilization and pole assignment for general improper systems[C]//Proceedings of American Control Conference. Minneapolis, Minnesota, USA: IEEE Press, 1987: 1669-1675.
17. XIE Xukai. On fixed modes in singular systems[C]//Proceedings of American Control Conference. Atlanta, USA: [s. n.], 1988: 1550-1551.
18. ZHANG Qingling. Algebraic characterizations of fixed modes in linear decentralized descriptor systems[C]//Proceedings of Conference on Decision and Control. Florida, USA: IEEE Press, 1989: 866-871.
19. XIE Xukai, WANG Dianhui, LIN Cong, et al. An Unified Approach to study fixed modes in singular systems[J]. Acta Automatica Sinica, 1995, 21(2): 145-153.
20. ZHANG Guoshan, XIE Xukai. DR-Controllability of descriptor decentralized control systems[J]. Control Theory and Applications, 1995, 12(6): 704-711.
21. GAO Zhiwei, WANG Xianlai, WANG Jiang, et al. Internal properness and stability in singular decentralized control systems[C]//Proceedings of American Control Conference. Albuquerque, New Mexico: IEEE Press, 1997: 2520-2521.
22. WANG Dianhui, SOH C B. On regularizing singular systems by decentralized output feedback[J]. IEEE Transactions on Automatic Control, 1999, 44(1): 148-152.
23. YU R. Regularizability of linear time-invariant descriptor systems under decentralized control[J]. Automatica, 2005, 41(9): 1639-1644.
24. CHANG T N, DAVISON E J. Decentralized control of descriptor systems[J]. IEEE Transactions on Automatic Control, 2001, 46(10): 1589-1595.
25. DAI L. Impulsive modes and causality in singular systems[J]. International Journal of Control, 1989, 50(4): 1267-1281.
26. XIE Xukai. A new matrix identity in control theory[J]. Proceedings of Conference on Decision and Control. Fort Lauderdale Florida, USA: IEEE Press, 1985.
27. VIDYASAGAR M. Control System Synthesis: A Factorization Approach[M]. MA: MIT Press Cambridge, 1985.
28. SYRMOS V L, ABDALLAH C T, DORATO P, et al. Static output feedback-A survey[J]. Automatica, 1997, 33(2): 125-137.