Regulation of rectangular descriptor systems with constrained states and controls

2010 Chinese Control and Decision Conference, CCDC 2010

Volumn , Issue , 2010, Pages 1005-1010

  Yang, Xin Rong ^a   Zhang, Rui Zhi ^a   Zhang, Xian ^a  

^a HEILONGJIANG UNIVERSITY   (China)

Author keywords

Dynamic compensator; Positively invariant set; Rectangular descriptor system; Regulation

Indexed keywords

CLOSED-LOOP; CONSTRAINED STATE; DESCRIPTOR SYSTEMS; DESIGN APPROACHES; DYNAMIC COMPENSATOR; GENERALIZED INVERSE; INVARIANT SET; NUMERICAL EXAMPLE; REGULATION PROBLEMS; SINGULAR SYSTEM;

DESCRIBING FUNCTIONS;

EID: 77955361649     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/CCDC.2010.5498074     Document Type: Conference Paper

References (21)

1. D. J. Hill, and I. M. Y. Maareels, Stability theory for differential/algebraic systems with application to power systems, Vol.37, No.11, 1416-1423, 1990.
2. D. G. Luenberger, and A. Arbel, Singular dynamic Leontief systems, Econometrica, Vol.45, No.4, 991-995, 1977.
3. S. S. Sastry, and C. A. Desoer, Jump behavior of circuits and systems, Vol.28, No.12, 1109-1124, 1981.
4. S. L. Campbell, Singular Systems of Differential Equations, New York: Pitman, 1982.
5. F. L. Lewis, A survey of linear singular systems, Circuits Systems Signal Process., Vol.5, No.1, 3-36, 1986.
6. L. Dai, Singular Control Systems, Berlin: Springer-Verlag, 1989.
7. J. D. Aplevich, Implicit Linear Systems, Berlin: Springer-Verlag, 1991.
8. T. Geerts, Solvability conditions, consistency, and weak consistency for linear differential-algebraic equations and time-invariant singular systems: The general case, Linear Algebra Appl., Vol.181, 111-130, 1993.
9. M. Hou, A. C. Pugh, and G. E. Hayton, A test for behavioral equivalence, IEEE Trans. on Automatic Control, Vol.45, No.11, 2177-2182, 2000.
10. M. Hou, and P. C. Muller, Observer design for descriptor systems, IEEE Trans. on Automatic Control, Vol.44, No.1, 164-169, 1999.
11. W. Q. Wang, and Y. Zou, Analysis of impulsive modes and Luenberger observers for descriptor systems, Syst. Control Lett., Vol.44, No.5, 347-353, 2001.
12. Y. Chen and G. G. Duan, Conditions for C-controllability and C-observability of rectangular descriptor systems, Proc. 6th World Congress Intell. Control Automat., 628-630, 2006. (Pubitemid 46532837)
13. J. Y. Ishihara, and M. H. Terra, Impulse controllability and obsvervability of rectangular descriptor systems, IEEE Trans. on Automatic Control, Vol.46, No.6, 991-994, 2001.
14. M. Hou, Controllability and elimination of impulsive modes in descriptor systems, IEEE Trans. on Automatic Control, Vol.49, No.10, 1723-1727, 2004.
15. G. S. Zhang, Regularizability, controllability and observability of rectangular descriptor systems by dynamic compensation, Proc. 2006 Amer. Control Conf., 4393-4398, 2006.
16. ∞ estimation for rectangular discrete-time descriptor systems, Proc. 2006 Amer. Control Conf., 5650-5654, 2006.
17. G. S. Zhang, Z. Q. Zuo, W. Q. Liu, and Q. L. Zhang, Stabilization of rectangular descriptor systems, Proc. 27th Chinese Control Conf., Vol.7, 777-781, 2008.
18. G. S. Zhang, Regularization and stabilization of rectangular descriptor systems by decentralized dynamic compensation, Control Theory Appl., Vol.25, No.2, 210-216, 2008.
19. H. Boughari, and N. E. Radhy, Regulation of linear continuous-time singular systems with constrained states and controls, Int. J. Syst. Sci., Vol.38, No.9, 689-698, 2007.
20. F. Blanchini, Set invariance in control, Automatica, Vol.35, 1747-1767, 1999.
21. A. Ben-Israel, and T. N. E. Greville, Generalized Inverses: Theorey and Applications, New York: John Wiley, 1974.