Software for examples of "Frequency-Domain Identification of Discrete-Time Systems using Sum-of-Rational Optimization"
Open access
Date
2023-11-20Type
- Software
ETH Bibliography
yes
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Abstract
This work proposes a computationally tractable method for the identification of canonical discrete-time rational transfer function models, using a finite set of input-output measurements. The problem is formulated in frequency-domain as a global optimization problem whose cost function is the sum of weighted squared residuals at each observed frequency datapoint. It is solved by the moment-sum-of-squares hierarchy of semidefinite programs, through a framework for sum-of-rational-functions optimization from Bugarin, Henrion, Lasserre 2016. The generated program contains decomposable term sparsity Wang et al. (2021) which can be exploited for further computational complexity reductions. Convergence of the moment-sum-of-squares program is guaranteed as the bound on the degree of the sum-of-squares polynomials approaches infinity. Show more
Permanent link
https://doi.org/10.3929/ethz-b-000641430Contributors
Contact person: Miller, Jared Franklin![cc](/themes/Mirage2//images/orcid_icon.png)
Data collector: Miller, Jared Franklin
![cc](/themes/Mirage2//images/orcid_icon.png)
Producer: Miller, Jared Franklin
![cc](/themes/Mirage2//images/orcid_icon.png)
Producer: Abdalmoaty, Mohamed
![cc](/themes/Mirage2//images/orcid_icon.png)
Producer: Yin, Mingzhou
![cc](/themes/Mirage2//images/orcid_icon.png)
Project leader: Smith, Roy
![cc](/themes/Mirage2//images/orcid_icon.png)
Project member: Miller, Jared Franklin
![cc](/themes/Mirage2//images/orcid_icon.png)
Project member: Abdalmoaty, Mohamed
![cc](/themes/Mirage2//images/orcid_icon.png)
Project member: Yin, Mingzhou
![cc](/themes/Mirage2//images/orcid_icon.png)
Related person: Miller, Jared Franklin
![cc](/themes/Mirage2//images/orcid_icon.png)
Researcher: Miller, Jared Franklin
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Research group: Miller, Jared Franklin
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Publisher
ETH ZurichSoftware
Julia and Matlab codeOrganisational unit
02292 - NFS Dependable Ubiquitous Automation / NCCR Dependable Ubiquitous Automation08814 - Smith, Roy (Tit.-Prof.)
Funding
180545 - NCCR Automation (phase I) (SNF)
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ETH Bibliography
yes
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