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Start Over Author "Hassan Akbari" Journal journal of process control
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2. Optimal input design for parameter estimation in a single and double tank system through direct control of parametric output sensitivities

Author

Hassan Akbari Chianeh, Karel J. Keesman, and Johannes D. Stigter

Subjects
WIMEK, Estimation theory, Leerstoelgroep Meet-, regel- en systeemtechniek, Inflow, PE&RC, Wiskundige en Statistische Methoden - Biometris, Industrial and Manufacturing Engineering, Computer Science Applications, models, Bernoulli's principle, Systems and Control Group, regel- en systeemtechniek, Flow (mathematics), Control and Systems Engineering, Control theory, Modeling and Simulation, identification, Affine transformation, Sensitivity (control systems), Focus (optics), Mathematical and Statistical Methods - Biometris, Leerstoelgroep Meet, Parametric statistics, Mathematics
Abstract

In this paper the traditional and well-known problem of optimal input design for parameter estimation is considered. In particular, the focus is on input design for the estimation of the flow exponent present in Bernoulli’s law. The theory will be applied to a water tank system with a controlled inflow and free outflow. The problem is formulated as follows: Given the model structure (f, g), which is assumed to be affine in the input, and the specific parameter of interest (� ), find a feedback law that maximizes the sensitivity of the model output to the parameter under different flow conditions in the water tank. The input design problem is solved analytically. The solution to this problem is used to estimate the parameter of interest with a minimal variance. Real-world experimental results are presented and compared with theoretical solutions.

Published
2011

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