Optimal input design for parameter estimation in a single and double tank system through direct control of parametric output sensitivities
✍ Scribed by Hassan Akbari Chianeh; J.D. Stigter; Karel J. Keesman
- Publisher
- Elsevier Science
- Year
- 2011
- Tongue
- English
- Weight
- 536 KB
- Volume
- 21
- Category
- Article
- ISSN
- 0959-1524
No coin nor oath required. For personal study only.
✦ Synopsis
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 (Â), 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.