Unknown input observers for 2D state-space models

International Journal of Control

Volumn 77, Issue 9, 2004, Pages 861-876

  Bisiacco, Mauro ^a   Elena Valcher, Maria ^a  

^a UNIVERSITY OF PADOVA   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

CONVERGENCE OF NUMERICAL METHODS; IMAGE ENHANCEMENT; MATRIX ALGEBRA; POLYNOMIALS; SET THEORY; STATE SPACE METHODS;

ROESSER MODELS; TRANSFER MATRICES; UNKNOWN INPUT OBSERVERS (UIO);

CONTROL SYSTEM ANALYSIS;

EID: 4444263136     PISSN: 00207179     EISSN: 13665820     Source Type: Journal    
DOI: 10.1080/00207170410001726787     Document Type: Article

References (47)

1. Bisiacco, M. 1985 a. On the state reconstruction of 2D systems. Systems and Control Letters, 5:347–353.
2. Bisiacco, M. 1985 b. State and output feedback stabilizability of 2D systems. IEEE Transactions on Circuit Systems, CAS-32:1246–1249.
3. Bisiacco, M. 1986. On the structure of 2D observers. IEEE Transactions on Automatic Control, AC-31:676–680.
4. Bisiacco M, Fornasini E, Marchesini G, 1986 Controller design for 2D systems. In C. I. Byrnes and A. Lindquist (Eds) Frequency Domain and State-space Methods for Linear Systems pp. 99–113 Elsevier Science Publishers B.V. North-Holland
5. Bisiacco, M, Fornasini, E, and Marchesini, G. 1988. 2D partial fraction expansions and minimal commutative realizations. IEEE Transactions on Circuit System, CAS-35:1533–1538.
6. Chang, SK, and Hsu, PL. 1994. On the application of the (1)-inverse to the design of general structured unknown input observers. International Journal of System Science, 25:2167–2186.
7. Chen, J, and Patton, RJ. 1996. Optimal filtering and robust fault diagnosis of stochastic systems with unknown disturbances. IEE Proceedings of Control Theory Applications, 143:31–36.
8. Chen, J, Patton, RJ, and Zhang, HY. 1996. Design of unknown input observers and robust fault detection filters. International Journal of Control, 63:85–105.
9. Darouach, M, Zasadinski, M, and Xu, SJ. 1994. Full-order observers for linear systems with unknown inputs. IEEE Transactions on Automatic Control, AC-39:606–609.
10. Darouach, M, Zasadzinski, M, and Boutayeb, M. 2003. Extension of minimum variance estimation for systems with unknown inputs. Automatica, 39:867–876.
11. Demetriou MA, 2001 UIO for fault detection in vector second order systems Proceedings of the 2001 American Control Conference 2 pp. 1121–1126 Arlington VA
12. Duan, GR, Howe, D, and Patton, RJ. 2002. Robust fault detection in descriptor linear systems via generalized unknown input observers. International Journal of Systems Science, 33:369–377.
13. Fornasini, E. 1978. On the relevance of noncommutative power series in spatial filters realization. IEEE Transactions on Circuit Systems, CAS-25:290–299.
14. Fornasini, E. 1991. A 2D systems approach to river pollution modelling. Multidimensional Systems and Signal Processing, 2:233–265.
15. Fornasini, E, and Marchesini, G. 1976. State space realization theory of two-dimensional filters. IEEE Transactions on Automatic Control, AC-21:484–92.
16. Fornasini, E, and Marchesini, G. 1978. Doubly indexed dynamical systems. Mathematics System Theory, 12:59–72.
17. Fornasini, E, and Marchesini, G. 1980 a. On the problem of constructing minimal realizations for two-dimensional filters. IEEE Transactions on Pattern Anal. Mach. Intell., PAMI-2:172–176.
18. Fornasini, E, and Marchesini, G. 1980 b. Stability analysis of 2D systems. IEEE Transactions on Circuit Systems, CAS-32:1246–54.
19. Fornasini E, Marchesini G, 1981 A critical review of recent results on 2-D system theory Proceedings of the 8th IFAC World Conference pp. 255–261 Kyoto Japan
20. Fornasini E, Marchesini G, 1993 Properties of pairs of matrices and state-models for 2D systems In C. R. Rao, (Ed.) Multivariate Analysis:Future Directions volume 5 pages 131–80 North Holland Series in Probability and Statistics
21. Fornasini, E, and Valcher, ME. 1995. Matrix pairs in 2D systems:an approach based on trace series and Hankel matrices. SIAM Journal of Control Optimization, 33:1127–1150.
22. Fornasini, E, and Valcher, ME. 1997. nD polynomial matrices with applications to multidimensional signal analysis. Multidimensional Systems and Signal Processing, 8:387–407.
23. Fornasini, E, and Zampieri, S. 1990. A note on the state space realization of 2D FIR transfer functions. Systems and Control Letters, 16:17–22.
24. Guan, Y, and Saif, M. 1991. A novel approach to the design of unknown-input observers. IEEE Transactions on Automatic Control, AC-36:632–635.
25. Guidorzi, R, and Marro, G. 1971. On wonham stabilizability condition in the synthesis of observers for unknown-input systems. IEEE Transactions on Automatic Control, AC-16:499–500.
26. Hsieh, CS, and Chen, FC. 2000. Modified stochastic Luenberger observers. Automatica, 36:1847–1854.
27. Hsu, PL, Choung-Houng, Y, and Shiuh-Yeh, S. 2001. Design of an optimal unknown input observer for load compensation in motion systems. Asian Journal of Control, 3:204–215.
28. Kaczorek T, 1985 Two-dimensional Linear Systems Lecture Notes in Control and Information Sciences Berlin Springer Verlag
29. Kaczorek, T. 2001. Perfect observers for singular 2D linear systems. Bulletin of the Polish Academy of Sciences, Technical Sciences, 49:141–147.
30. Kailath T, 1980 Linear Systems Englewood Cliffs NJ Prentice Hall
31. Koenig, D, and Mammar, S. 2002. Design of proportional-integral observer for unknown input descriptor systems. IEEE Transactions on Automatic Control, AC-47:2057–2062.
32. Kudva, P, Viswanadham, N, and Ramakrishna, A. 1980. Observers for linear systems with unknown inputs. IEEE Transactions on Automatic control, AC-25:113–115.
33. Kurek, JE. 1983. The state vector reconstruction for linear systems with unknown inputs. IEEE Transactions on Automatic Control, AC-28:1120–1122.
34. Marszalek, W. 1984. Two-dimensional state space discrete models for hyperbolic partial differential equations. Applied Mathematical Modelling, 8:11–14.
35. Morf, M, Levy, BC, Kung, SY, and Kailath, T. 1977. New results in 2D systems theory, part I and II. Proceedings of the IEEE, 65:861–872, 945–961
36. Rocha P, 1990 Structure and Representation of 2-D Systems PhD thesis University of Groningen The Netherlands
37. Roesser, RP. 1975. A discrete state space model for linear image processing. IEEE Transactions on Automatic Control, AC-20:1–10.
38. Rosenbrock HH, 1970 State-space and Multivariable Theory New York Wiley
39. Sundareswaran, KK, McLane, PJ, and Bayoumi, MM. 1977. Observers for linear systems with arbitrary plant disturbances. IEEE Transactions on Automatic Control, AC-22:870–871.
40. Takahashi, RHC, and Peres, PLD. 1999. Unknown input observers for uncertain systems:a unifying approach. European Journal of Control, 5:261–274.
41. Tse, E. 1973. Observer-estimators for discrete-time systems. IEEE Transactions on Automatic Control, AC-18:10–16.
42. Tsui, CC. 1996. A new design approach to unknown input observers. IEEE Transactions on Automatic Control, AC-41:464–468.
43. Valcher, ME, and Fornasini, E. 1993. Polynomial inverses of 2D transfer matrices and their realization via inverse systems. Multidimensional Systems and Signal Processing, 4:269–284.
44. Vomiero S, 1992 Un'applicazione dei sistemi 2D alla modellistica dello scambio sangue-tessuto PhD thesis, (in Italian) Univ. di Padova, Italy
45. Yamada, M, Xu, L, and Saito, O. 1997. Design and parameterization of 2D state observer. Transactions of the Society of Instrument and Control Engineers, 33:855–857.
46. Youla, DC, and Gnavi, G. 1979. Notes on n-dimensional system theory. IEEE Transactions on Circuit Systems, CAS-26:105–111.
47. Zampieri, S. 1992. 2D residual generation and dead beat observers. Systems and Control Letters, 17:483–492.