Abstract
While the parameter estimation methods presented so far assumed that the parameters θ and the observations of the output y are deterministic values, the parameters themselves and/or the output will now be seen in a stochastic view as a series of random variables.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Åström KJ, Bohlin T (1965) Numerical identification of linear dynamic systems from normal operating records. In: Proceedings of the IFAC Symposium Theory of Self-Adaptive Control Systems, Teddington
van den Boom AJW (1982) System identification - on the variety and coherence in parameter- and order erstimation methods. Ph. D. thesis. TH Eindhoven, Eindhoven
van den Bos A (2007) Parameter estimation for scientists and engineers. Wiley-Interscience, Hoboken, NJ
Deutsch R (1965) Estimation theory. Prentice-Hall, Englewood Cliffs, NJ
Eykhoff P (1974) System identification: Parameter and state estimation. Wiley-Interscience, London
Fuhrt BP, Carapic M (1975) On-line maximum likelihood algorithm for the identification of dynamic systems. In: 4th IFAC-Symposium on Identification, Tbilisi, USSR
Isermann R (1992) Identifikation dynamischer Systeme: Besondere Methoden, Anwendungen (Vol 2). Springer, Berlin
Isermann R (2006) Fault-diagnosis systems: An introduction from fault detection to fault tolerance. Springer, Berlin
Lee KI (1964) Optimal estimation, identification, and control, Massachusetts Institute of Technology research monographs, vol 28. MIT Press, Cambridge, MA
Ljung L (1999) System identification: Theory for the user, 2nd edn. Prentice Hall Information and System Sciences Series, Prentice Hall PTR, Upper Saddle River, NJ
McKelvey T (2000) Frequency domain identification. In: Proccedings of the 12th IFAC Symposium on System Identification, Santa Barbara, CA, USA
Nahi NE (1969) Estimation theory and applications. J. Wiley, New York, NY
Ninness B (2009) Some system identification challenges and approaches. In: Proceedings of the 15th IFAC Symposium on System Identification, Saint-Malo, France
Papoulis A (1962) The Fourier integral and its applications. McGraw Hill, New York
Peterka V (1981) Bayesian approach to system identification. In: Trends and progress in system identification, Pergamon Press, Oxford
Raol JR, Girija G, Singh J (2004) Modelling and parameter estimation of dynamic systems, IEE control engineering series, vol 65. Institution of Electrical Engineers, London
Söderström T (1973) An on-line algorithm for approximate maximum likelihood identification of linear dynamic systems. Report 7308. Dept. of Automatic Control, Lund Inst of Technology, Lund
van der Waerden BL (1969) Mathematical statistics. Springer, Berlin
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
Copyright information
© 2011 Springer Berlin Heidelberg
About this chapter
Cite this chapter
Isermann, R., Münchhof, M. (2011). Bayes and Maximum Likelihood Methods. In: Identification of Dynamic Systems. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-78879-9_11
Download citation
DOI: https://doi.org/10.1007/978-3-540-78879-9_11
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-78878-2
Online ISBN: 978-3-540-78879-9
eBook Packages: EngineeringEngineering (R0)