Disturbance decoupled observer design for linear time-invariant systems: A matrix pencil approach

IEEE Transactions on Automatic Control

Volumn 45, Issue 8, 2000, Pages 1569-1575

  Chu, Delin ^a  

^a NATIONAL UNIVERSITY OF SINGAPORE   (Singapore)

Author keywords

[No Author keywords available]

Indexed keywords

LINEAR CONTROL SYSTEMS; MATHEMATICAL TRANSFORMATIONS; MATRIX ALGEBRA; STABILITY;

CONDENSED FORM; DISTURBANCE DECOUPLED ESTIMATION; OBSERVER; ORTHOGONAL TRANSFORMATIONS; TIME INVARIANT SYSTEMS;

INVARIANCE;

EID: 0034245280     PISSN: 00189286     EISSN: None     Source Type: Journal    
DOI: 10.1109/9.871775     Document Type: Article

References (20)

1. H. Akashi and H. Imai, "Disturbance localization and output deadbeat control through an observer in discrete-time linear multivariable systems," IEEE Trans. Automat. Control, vol. AC-24, pp. 621-627, 1979.
2. LAPACK Users' Guide, Society for Industrial and Applied Mathematics, Philadelphia, 1992.
3. G. Basile and G. Marro, "Controlled and conditioned invariant subspaces in linear system theory," J. Optim. Theory Appl., vol. 3, pp. 306-315, 1969.
4. D. Chu and V. Mehrmann, "Disturbance decoupling for descriptor systems I," TU Chemnitz, Fakultät für Mathematik, D-09107 Chemnitz, Technical Report 97-7, 1997, submitted for publication.
5. _, "Disturbance decoupled observer design descriptor systems," TU Chemnitz, Fakultät für Mathematik, D-09107 Chemnitz, Technical Report 97-21, 1997, submitted for publication.
6. J. W. Demmel and B. Kågström, "Accurate solutions of ill-posed problems in control theory," SIAM J. Matrix Anal. Appl., vol. 9, pp. 126-145, 1988.
7. _, "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, 1993.
8. V. Eldem and A. B. Oezgueler, "Disturbance decoupling problem by measurement feedback: A characterization of all solutions and fixed modes," SIAM J. Control Optim., vol. 26, pp. 168-185, 1988.
9. G. H. Golub and C. F. Van Loan, Matrix Computations, 3rd ed. Baltimore, MD: The Johns Hopkins University Press, 1989.
10. M. L. J. Hautus, "Controllability and observability conditions of linear autonomous systems," in Pro. Kon. Ned. Akad. Wetensh., ser. A, 1969, vol. 72, pp. 293-298.
11. R. E. Kalman, "Mathematical description of linear dynamical systems," SIAM J. Control Optim., pp. 152-192, 1962.
12. A. C. Pugh, M. Hou, and P. C. Ml̈ler, "Disturbance decoupled functional observers," IEEE Trans. Automat. Control, vol. AC-44, pp. 382-386, 1999.
13. G. Miminis and C. C. Paige, "A direct algorithm for pole assignment of time-invariant multi-input linear systems using state feedback," Automatica, vol. 24, pp. 343-356, 1988.
14. M. Rakowski, "Transfer function approach to disturbance decoupling problem," in IMA Vol. Math. Appl. 62: Springer-Verlag, 1994, pp. 159-176.
15. J. M. Schumacher, "Compensator synthesis using (C, A, B)-pairs," IEEE Trans. Automat. Control, vol. AC-25, pp. 1133-1138, 1980.
16. V. L. Syrmos, "Disturbance decoupling using constrained Sylvester equations," IEEE Trans. Automat. Control, vol. AC-39, pp. 797-803, 1994.
17. P. Van Dooren, "The generalized eigenstructure problem in linear system theory," IEEE Trans. Automat. Control, vol. 6, pp. 111-129, 1981.
18. A. Varga, "A Schur method for pole assignment," IEEE Trans. Automat. Control, vol. AC-26, pp. 517-519, 1981.
19. J. C. Willems and C. Commault, "On disturbance decoupling by measurement feedback with stability or pole placement," SIAM J. Control Optim., vol. 19, pp. 490-504, 1981.
20. W. M. Wonham, Linear Multivariable Control: A Geometric Approach, 2nd ed. New York: Springer, 1985.