Improvements in bounded error parameter estimation using distribution theory

Abstract : A bounded error estimation procedure based on integro-differential polynomials linking the inputs, the outputs and the parameters of the model is presented in this paper. These polynomials are obtained from differential algebra tools given input-output polynomials. The use of the distribution theory permits to obtain new relations in which the order of derivatives of the model outputs are smaller. This method is applied on the water tank example and the results are compared with the classical method based on the simple use of input-output polynomials. As it will be seen, this method significantly improves the parameter estimation results.
Complete list of metadatas

Cited literature [23 references]  Display  Hide  Download

https://hal.laas.fr/hal-01966316
Contributor : Carine Jauberthie <>
Submitted on : Friday, December 28, 2018 - 10:05:12 AM
Last modification on : Friday, January 10, 2020 - 9:10:11 PM
Long-term archiving on: Friday, March 29, 2019 - 1:06:09 PM

File

2018ECC_SubmCor.pdf
Files produced by the author(s)

Identifiers

  • HAL Id : hal-01966316, version 1

Citation

Nathalie Verdiere, Carine Jauberthie, Louise Travé-Massuyès. Improvements in bounded error parameter estimation using distribution theory. European Control Conference (ECC 2018), Jun 2018, Limassol, Cyprus. ⟨hal-01966316⟩

Share

Metrics

Record views

96

Files downloads

61