On a geometric approach to the structural identifiability problem and its application in a water quality case study

2007 European Control Conference, ECC 2007

Volumn , Issue , 2007, Pages 3450-3456

  Stigter, J D ^a   Peeters, R L M ^b  

^a WAGENINGEN UNIVERSITY   (Netherlands)

^b MAASTRICHT UNIVERSITY   (Netherlands)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTATION THEORY; LINEAR CONTROL SYSTEMS; LINEAR SYSTEMS; NONLINEAR SYSTEMS; TAYLOR SERIES;

COMPUTATIONAL FRAMEWORK; GEOMETRIC ANALYSIS; GEOMETRIC APPROACHES; IDENTIFIABILITY ANALYSIS; NON LINEAR CONTROL; PARAMETER IDENTIFIABILITY; STRUCTURAL IDENTIFIABILITY; TAYLOR SERIES EXPANSIONS;

WATER QUALITY;

EID: 84927725977     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.23919/ecc.2007.7068560     Document Type: Conference Paper

References (25)

1. R. J. Bellman and K. J. Astrom, "On structural identifiability," Mathematical Biosciences, vol. 7, pp. 329-339, 1970.
2. L. Denis-Vidal and G. Joly-Blanchard, "Equivalence and identifiability analysis of uncontrolled nonlinear dynamical systems," Automatica, vol. 40, pp. 287-292, 2004.
3. L. Denis-Vidal, G. Joly-Blanchard, and C. Noiret, "Some effective approaches to check the identifiability of uncontrolled nonlinear systems," Mathematics and Computers in Simulation, vol. 57, pp. 35-44, 2001.
4. D. Dochain, P. A. Vanrolleghem, and M. van Daele, "Structural Identifiability of Biokinetic Models of Activated Sludge Respiration," Water Research, vol. 29(11), pp. 2571-2578, 1995.
5. H. G. M. Dötsch and P. M. J. van den Hof, "Test for local structural identifiability of high-order non-linearly parametrized state space models," Automatica, vol. 32, no. 6, pp. 875-883, 1996.
6. N. D. Evans and M. J. Chappell, "Extensions to a procedure for generating locally identifiable reparametrisations of unidentifiable systems," Mathematical Biosciences, vol. 168, pp. 137-159, 2000.
7. A. Holmberg and J. Ranta, "Procedures for Parameter and State Estimation of Microbial Growth Process Models," Automatica, vol. 18(2), pp. 181-193, 1982.
8. A. Isidori, Nonlinear Control Systems. Heidelberg: Springer-Verlag, 1989.
9. H. G. Kwatny and G. L. Blankenship, Nonlinear Control and Analytical Mechanics: A Computational Approach. Boston: Birkhäuser, 2000.
10. L. Ljung, System Identification-Theory for the User. Prentice Hall, 1987.
11. L. Ljung and T. Glad, "On global identifiability for arbitrary model parametrizations," Automatica, vol. 30, no. 2, pp. 265-276, 1994.
12. H. Nijmeijer and A. Van der Schaft, Nonlinear Dynamic Control Systems. New York: Springer-Verlag, 1990.
13. R. L. M. Peeters and B. Hanzon, "Symbolic computation of fisher information matrices for parametrized state-space systems," Automatica, vol. 35, pp. 1059-1071, 1999.
14. -, "Identifiability of homogeneous systems using the state isomorphism approach," Automatica, vol. 41, pp. 513-529, 2005.
15. H. Pohjanpalo, "System Identifiability Based on the Power Series Expansion of the Solution," Mathematical Biosciences, vol. 41, pp. 21-33, 1978.
16. M. P. Saccomani, "Some results on parameter identification of nonlinear systems," Cardiovascular Engineering: An International Journal, vol. 4(1), pp. 95-102, 2004.
17. M. P. Saccomani, S. Audoly, and L. D'Angió, "Parameter identifiability of nonlinear systems: The role of initial conditions," Automatica, vol. 39, pp. 619-632, 2003.
18. J. Schoukens, R. Pintelon, and Y. Rolain, "Identification of nonlinear and linear systems, similarities, differences and challenges," in 14th IFAC Symposium on System Identification (SYSID 2006), 2006, pp. 122-124.
19. A. Sedoglavic, "A probabilistic algorithm to test local algebraic observability in polynomial time. " Journal of Symbolic Computation, vol. 33, pp. 735-755, 2002.
20. J. D. Stigter and M. B. Beck, "On the development and application of a continuous-discrete recursive prediction-error algorithm," Mathematical Biosciences, vol. 191, no. 2, pp. 143-158, 2004.
21. E. T. Tunali and T. Tarn, "New results for identifiability of nonlinear systems," IEEE Transactions on Automatic Control, vol. AC-32, no. 2, pp. 146-154, 1987.
22. P. A. Vanrolleghem, M. V. Daele, and D. Dochain, "Practical identifiability of a biokinetic model of activated sludge respiration," Water Research, vol. 29(11), pp. 2561-2570, 1995.
23. E. Walter and L. Pronzato, "On the identifiability and distinguishability of nonlinear parametric models," Mathematics and Computers in Simulation, vol. 42, pp. 125-134, 1996.
24. -, Identification of Parametric Models. Springer, 1997.
25. X. Xia and C. H. Moog, "Identifiability of nonlinear systems with application to HIV/AIDS models," IEEE Transactions on Automatic Control, vol. 48, no. 2, pp. 330-336, 2003.