Abstract
To improve some of the properties of basic parameter estimation methods, the corresponding algorithms can be modified. These modifications serve to enhance the numerical accuracy in digital computers or give access to intermediate results. The numerical properties are important if the word length is confined or if the changes of input signals become small, as in adaptive control or fault detection. Such constraints can lead to ill-conditioned system of equations.
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References
Biermann GJ (1977) Factorization methods for discrete sequential estimation, Mathematics in Science and Engineering, vol 128. Academic Press, New York
Golub GH, van Loan CF (1996) Matrix computations, 3rd edn. Johns Hopkins studies in the mathematical sciences, Johns Hopkins Univ. Press, Baltimore
Goodwin GC, Payne RL (1977) Dynamic system identification: Experiment design and data analysis, Mathematics in Science and Engineering, vol 136. Academic Press, New York, NY
Isermann R, Lachmann KH, Matko D (1992) Adaptive control systems. Prentice Hall international series in systems and control engineering, Prentice Hall, New York, NY
Kaminski P, Bryson A jr, Schmidt S (1971) Discrete square root filtering: A survey of current techniques. IEEE Trans Autom Control 16(6):727–736
Kofahl R (1986) Self-tuning PID controllers based on process parameter estimation. Journal A 27(3):169–174
Ljung L, Morf M, Falconer D (1978) Fast calculation of gain matrices for recursive estimation schemes. Int J Control 27(1):1–19
Peterka V (1975) A square root filter for real time multivariate regression. Kybernetika 11(1):53–67
Strejc V (1980) Least squares parameter estimation. Automatica 16(5):535–550
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Isermann, R., Münchhof, M. (2011). Numerical Aspects. In: Identification of Dynamic Systems. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-78879-9_22
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DOI: https://doi.org/10.1007/978-3-540-78879-9_22
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