Determination of the Structure of Multivariable System and Its Parameter Estimation in Canonical Form

1982 ◽  
Vol 15 (4) ◽  
pp. 349-354
Author(s):  
Hu Yang-Zeng
1978 ◽  
Vol 100 (2) ◽  
pp. 266-273 ◽  
Author(s):  
J. D. Chrostowski ◽  
D. A. Evensen ◽  
T. K. Hasselman

A general method is presented for using experimental data to verify math models of “mixed” dynamic systems. The term “mixed” is used to suggest applicability to combined systems which may include interactive mechanical, hydraulic, electrical, and conceivably other types of components. Automatic matrix generating procedures are employed to facilitate the modeling of passive networks (e.g., hydraulic, electrical). These procedures are augmented by direct matrix input which can be used to complement the network model. The problem of model verification is treated in two parts; verification of the basic configuration of the model and determination of the parameter values associated with that configuration are addressed sequentially. Statistical parameter estimation is employed to identify selected parameter values, recognizing varying degrees of uncertainty with regard to both experimental data and analytical results. An example problem, involving a coupled hydraulic-mechanical system, is included to demonstrate application of the method.


2010 ◽  
Author(s):  
Xin-guang Chen ◽  
A-qing Xu ◽  
Hong-qin Yang ◽  
Yu-hua Wang ◽  
Shu-sen Xie

2000 ◽  
Author(s):  
M. Pinelli ◽  
P. R. Spina

Abstract The paper presents a method for evaluating the influence of different sets of measurements (in terms of number and kind) on gas turbine health determination. It is analyzed how the uncertainty of measurements and variations occurring on the characteristic parameters, which have to be fixed to solve the problem, affect the health parameter estimation. The study, which was developed for different combinations of measurements and fixed characteristic parameters, leads to the identification of: - the best set of measurements for the determination of the gas turbine operating state; - the most appropriate characteristic parameters to fix, depending on available measurements.


2021 ◽  
pp. 237-266
Author(s):  
Martin Schmal ◽  
José Carlos Pinto

2019 ◽  
Vol 3 (2) ◽  
pp. 56 ◽  
Author(s):  
Johannes Höller ◽  
Patricia Bickert ◽  
Patrick Schwartz ◽  
Martin von Kurnatowski ◽  
Joachim Kerber ◽  
...  

Many thermodynamic models used in practice are at least partially empirical and thus require the determination of certain parameters using experimental data. However, due to the complexity of the models involved as well as the inhomogeneity of available data, a straightforward application of basic methods often does not yield a satisfactory result. This work compares three different strategies for the numerical solution of parameter estimation problems, including errors both in the input and in the output variables. Additionally, the new idea to apply multi-criteria optimization techniques to parameter estimation problems is presented. Finally, strategies for the estimation and propagation of the model errors are discussed.


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