Disturbance decoupling for descriptor systems by state feedback

SIAM Journal on Control and Optimization

Volumn 38, Issue 6, 2000, Pages 1830-1858

  Chu, Delin ^a   Mehrmann, Volker ^b  

^a NATIONAL UNIVERSITY OF SINGAPORE   (Singapore)

^b CHEMNITZ UNIVERSITY OF TECHNOLOGY   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

CLOSED LOOP CONTROL SYSTEMS; CONVERGENCE OF NUMERICAL METHODS; MATHEMATICAL TRANSFORMATIONS; MATRIX ALGEBRA; SYSTEM STABILITY;

DISTURBING DECOUPLING PROBLEM;

STATE FEEDBACK;

EID: 0034540417     PISSN: 03630129     EISSN: None     Source Type: Journal    
DOI: 10.1137/S0363012900331891     Document Type: Article

References (30)

1. A. AILON, A solution to the disturbance decoupling problem in singular systems via analogy with state-space systems, Automatica J. IFAC, 29 (1993), pp. 1541-1545.
2. E. ANDERSON, Z. BAI, C. BISCHOF, J. DEMMEL, J. DONGARRA, J. DU CROZ, A. GREENBAUM, S. HAMMARLING, A. MCKENNEY, S. OSTROUCHOV, AND D. SORENSEN, LAPACK Users' Guide, 2nd ed., SIAM, Philadelphia, 1995.
3. A. BANASZUK, M. KOCIECKI, AND K. A. PRZYLUSKI, The disturbance decoupling problem for implicit linear discrete-time systems, SIAM J. Control Optim., 28 (1990), pp. 1270-1293.
4. K. BRENAN, S. CAMPBELL, AND L. PETZOLD, Numerical Solution of Initial-Value Problems in Differential Algebraic Equations, North-Holland, New York, 1989.
5. A. BUNSE-GERSTNER, V. MEHRMANN, AND N. K. NICHOLS, Regularization of descriptor systems by derivative and proportional state feedback, SIAM J. Matrix Anal. Appl., 13 (1992), pp. 46-67.
6. A. BUNSE-GERSTNER, V. MEHRMANN, AND N. NICHOLS, Regularization of descriptor systems by output feedback, IEEE Trans. Automat. Control, 39 (1994), pp. 1742-1747.
7. R. BYERS, T. GEERTS, AND V. MEHRMANN, Descriptor systems without controllability at infinity, SIAM J. Control Optim., 35 (1997), pp. 462-479.
8. D. L. CHU, H. C. CHAN, AND D. W. C. HO, Regularization of singular systems by derivative and proportional output feedback, SIAM J. Matrix Anal. Appl., 19 (1998), pp. 21-38.
9. D. CHU AND V. MEHRMANN, Disturbance Decoupling for Descriptor Systems, Tech. Rep. 97-7, Fakultät für Mathematik, TU Chemnitz, Germany, 1997.
10. D. CHU AND V. MEHRMANN, Disturbance Decoupling for Descriptor Systems II, Tech. Rep. 97-21, Fakultät für Mathematik, TU Chemnitz, Germany, 1997.
11. L. DAI, Singular Control Systems, Lecture Notes in Control and Inform. Sci. 118, Springer-Verlag, Berlin, 1989.
12. J. DEMMEL AND B. KÅGSTRÖM, The generalized Schur decomposition of an arbitrary pencil A-λB: Robust software with error bounds and applications. Part I: Theory and algorithms, ACM Trans. Math. Software, 19 (1993), pp. 160-174.
13. P. VAN DOOREN, The generalized eigenstructure problem in linear system theory, IEEE Trans. Automat. Control, 26 (1981), pp. 111-129.
14. F. GANTMACHER, Theory of Matrices, Vol. I, Chelsea, New York, 1959.
15. G. GOLUB AND C. V. LOAN, Matrix Computations, 3rd ed., The Johns Hopkins University Press, Baltimore, MD, 1996.
16. S. HAGEL, Systematische Modellbildung mechanischer Systeme auf der Basis von Teilkomponenten, in Notes of the Workshop Identifizierung-, Analyse und Entwurfsmethoden für mechanische Mehrkörpersysteme in Deskriptorform, Paderborn, P. C. Müller, ed., 1994, pp. 67-72.
17. H. KNOBLOCH AND H. KWAKERNAAK, Lineare Kontrolltheorie, Springer-Verlag, Berlin, 1985.
18. P. KUNKEL AND V. MEHRMANN, The linear quadratic optimal control problem for linear descriptor systems with variable coefficients, Math. Control Signals Systems, 10 (1997), pp. 247-264.
19. G. LEBRET, Structural solution of the disturbance decoupling problem for implicit linear discrete-time systems, in Proceedings of the Second International Symposium on Implicit and Robust Systems, Warsaw, 1991, pp. 127-130.
20. G. LEBRET, Structural solution of the disturbance decoupling problem for implicit linear discrete-time systems, Circuits Systems Signal Process., 13 (1994), pp. 311-327.
21. L. R. FLETCHER AND A. ASARAAI, On disturbance decoupling in descriptor systems, SIAM J. Control Optim., 27 (1989), pp. 1319-1332.
22. V. MEHRMANN, The Autonomous Linear Quadratic Control Problem: Theory and Numerical Algorithms, Lecture Notes in Control and Inform. Sci. 163, Springer-Verlag, Heidelberg, 1991.
23. A. S. MORSE AND W. M. WONHAM, Decoupling and pole assignment by dynamic compensation, SIAM J. Control, 8 (1970), pp. 317-337.
24. M. RAKOWSKI, Transfer function approach to disturbance decoupling problem, in Linear Algebra for Control Theory, B. W. P. Van Dooren, ed., IMA Vol. Math. Appl. 62, Springer-Verlag, 1994, pp. 159-176.
25. J. M. SCHUMACHER, Compensator synthesis using (C, A, B)-pairs, IEEE Trans. Automat. Control, 25 (1980), pp. 1133-1138.
26. A. A. STOORVOGEL AND J. W. V. DER WOUDE, The disturbance decoupling problem with measurement feedback and stability for systems with direct feedthrough matrices, Systems Control Lett., 17 (1991), pp. 217-226.
27. V. L. SYRMOS, Disturbance decoupling using constrained Sylvester equations, IEEE Trans. Automat. Control, 39 (1994), pp. 797-803.
28. A. VARGA, On stabilization methods of descriptor systems, Systems Control Lett., 24 (1995), pp. 133-138.
29. J. C. WILLEMS AND C. COMMAULT, Disturbance decoupling by measurement feedback with stability or pole placement, SIAM J. Control Optim., 19 (1981), pp. 490-504.
30. W. WONHAM, Linear Multivariable Control: A Geometric Approach, 2nd ed., Springer-Verlag, New York, 1979.