Algebraic time-derivative estimation in the context of reconstructibility;Algebraische Ableitungsschätzung im Kontext der Rekonstruierbarkeit

At-Automatisierungstechnik

Volumn 56, Issue 6, 2008, Pages 324-331

  Reger, Johann ^a   Jouffroy, Jérôme ^b  

^a MAX PLANCK INSTITUTE FOR DYNAMICS OF COMPLEX TECHNICAL SYSTEMS   (Germany)

^b Mads Clausen Institute   (Denmark)

Author keywords

Dead beat observers; FIR filtering; Operational calculus; State estimation

Indexed keywords

EID: 62549144821     PISSN: 01782312     EISSN: None     Source Type: Journal    
DOI: 10.1524/auto.2008.0711     Document Type: Article

References (29)

1. P. Antsaklis, A. Michel, "Linear Systems", McGraw-Hill, 1997.
2. S. Boyd, "Introduction to Linear Dynamical Systems", Lecture Notes EE263, Stanford University, 2007.
3. R. W. Brockett, "Finite Dimensional Linear Systems", Wiley, 1970.
4. C.-T. Chen, "Linear system theory and design", Oxford University Press, 1999.
5. e Coll. GRETSI, Louvain-la-Neuve, 2005.
6. e Coll. GRETSI, Louvain-la-Neuve, 2005.
7. M. Fliess, C. Join, H. Sira-Ramírez, "Robust residual generation to linear fault diagnosis: An algebraic setting with examples", Int. Journal of Control, Vol. 77, 1223-1242, 2004.
8. M. Fliess, C. Join, H. Sira-Ramírez, "Non-linear estimation is easy", International Journal of Modelling, Identification and Control, Vol. 3, No. 5, 2008.
9. M. Fliess, M. Mboup, H. Mounier, H. Sira-Ramírez, "Questioning some paradigms of signal processing via concrete examples", in Algebraic Methods in Flatness, Signal Processing and State Estimation, H. Sira-Ramírez, G. Silva-Navarro (Eds.), Innovación Editiorial Lagares, Mexico, 1-21, 2003.
10. M. Fliess, H. Sira-Ramírez, "An algebraic framework for linear identification", ESAIM Control Optim. Calc. Variat., Vol. 9, 2003.
11. M. Fliess, H. Sira-Ramírez, "State reconstructors: A possible alternative to asymptotic observers and Kalman filters", Proceedings of CESA, 2003.
12. M. Fliess, H. Sira Ramírez, "Control via state estimations of some nonlinear systems", IFAC Symp. on Nonlinear Control Systems (NOLCOS 2004), Stuttgart, 2004.
13. R. E. Kalman, R. S. Bucy, "New Results in Linear Filtering and Prediction Theory", Journal of Basic Engineering, Vol. 83B, 1961.
14. R. E. Kalman, P. L. Falb, M. A. Arbib, "Topics in Mathematical System Theory", McGraw-Hill, 1969.
15. W. H. Kwon, P. S. Kim, P. G. Park, "A receding horizon Kalman FIR filter for linear continuous-time systems", IEEE Transactions on Automatic Control, Vol. 44, Nr. 11, 2115-2120, 1995.
16. G. Ludyk, "Theoretische Regelungstechnik 1", Springer, 1995.
17. M. Mboup, C. Join, M. Fliess, "A revised look at numerical differentiation with an application to nonlinear feedback control", 15th Mediterranean Conference on Control and Automation (MED'07), Athens, Greece, 2007.
18. M. Petkovšek, H. S. Wilf, D. Zeilberger, "A=B", AK Peters Ltd., 1996.
19. J. O'Reilly, "Observers for Linear Systems", Academic Press, 1983.
20. J. Reger, M. Mai, and H. J. Sira-Ramírez, "Robust algebraic state estimation of chaotic systems", IEEE Conf. on Control Applications (CCA), München, 2006.
21. J. Reger, J. Jouffroy, "Algebraic Time-Derivative Estimation and Deadbeat State Reconstruction", Technical Report CGR-07-09, University of Michigan, USA, http://arxiv.org/abs/0710.0010
22. S. Sastry, "Nonlinear systems", Springer, 1999.
23. L. R. Savage, E. Lukas, "Tables of inverses of finite segments of the Hilbert matrix", in Contributions to the Solutions of Systems of Linear Equations and the Determination of Eigenvalues, O. Taussky (Herausgeber), National Bureau of Standards Applied Mathematics Series, Vol. 39, 105-108, 1954.
24. E. D. Sontag, "Mathematical Control Theory", 2. Auflage, Springer, 1998.
25. H. Wilf, D. Zeilberger, "An algebraic proof theory for hypergeometric (ordinary and "q") multisum/integral identities", Inventiones Mathematicae, Vol. 108, 575-633, 1992.
26. J. C. Willems, S. K. Mitter, "Controllability, observability, pole allocation, and state reconstruction", IEEE Transactions on Automatic Control, Vol. 16, Nr. 6, 582-595, 1971.
27. J. Zehetner, J. Reger,M. Horn, "A Derivative Estimation Toolbox based on Algebraic Methods - Theory and Practice", IEEE Int. Conf. on Control Applications, Singapore, 2007.
28. J. Zehetner, J. Reger, M. Horn, "Echtzeit-Implementierung eines algebraischen Ableitungsschätzverfahrens", at - Automatisierungstechnik, 11/2007.
29. D. Zeilberger, Computeralgebra-Paket MultiZeilberger für Maple: Http://www.math.rutgers.edu/~zeilberg/tokhniot/MultiZeilberger