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Using statistical linearization in experiment design for identification of robotic manipulators
Linköping University, Department of Electrical Engineering, Automatic Control. Linköping University, Faculty of Science & Engineering.ORCID iD: 0009-0007-7310-5275
ABB Robotics, Västerås, Sweden.
Linköping University, Department of Electrical Engineering, Automatic Control. Linköping University, Faculty of Science & Engineering.ORCID iD: 0000-0002-3972-4554
Linköping University, Department of Electrical Engineering, Automatic Control. Linköping University, Faculty of Science & Engineering.ORCID iD: 0000-0001-6523-8499
2024 (English)In: Control Engineering Practice, ISSN 0967-0661, E-ISSN 1873-6939, Vol. 150, article id 106008Article in journal (Refereed) Published
Abstract [en]

It is shown how nonlinear joint stiffness in industrial robots can be determined quickly and accurately through a combination of statistical linearization and optimized data acquisition configurations. The statistical linearization is carried out using the histogram of the measured motor torques. The result of this linearization is used in a criterion that is minimized to determine optimal configurations for data collection. The proposed approach is validated using data from both simulations and experiments with a medium -size industrial robot. In both cases, there is a significant improvement in accuracy compared to both using conventional linearization and collecting data in a larger but random set of configurations.

Place, publisher, year, edition, pages
PERGAMON-ELSEVIER SCIENCE LTD , 2024. Vol. 150, article id 106008
Keywords [en]
Industrial robots; Closed-loop identification; Frequency-domain; Nonlinear systems; Linearization; Experiment design
National Category
Mechanical Engineering Control Engineering
Identifiers
URN: urn:nbn:se:liu:diva-206205DOI: 10.1016/j.conengprac.2024.106008ISI: 001262062500001OAI: oai:DiVA.org:liu-206205DiVA, id: diva2:1888144
Funder
Vinnova
Note

Funding Agencies|Vinnova competence center LINK-SIC, Sweden

Available from: 2024-08-12 Created: 2024-08-12 Last updated: 2026-08-12
In thesis
1. Modeling and Identification of Dynamic Stiffness in Robotic Manipulators: For High-fidelity Physics Models in the Age of AI
Open this publication in new window or tab >>Modeling and Identification of Dynamic Stiffness in Robotic Manipulators: For High-fidelity Physics Models in the Age of AI
2026 (English)Doctoral thesis, comprehensive summary (Other academic)
Abstract [en]

Accurate dynamic models of industrial robot manipulators are essential for achieving high-performance control and for realizing accurate physics simulation. However, improving model fidelity typically requires extensive experimental data and time-consuming identification procedures. This thesis addresses this trade-off by advancing system identification methods aimed at improving the accuracy of physically parameterized robot models. The advancements are focused on resource- efficiency in terms of shortening experiment duration for data collection, decreasing data volume and reducing need for manual effort related to experiment design and tuning of the identification algorithm.

The work first investigates high-fidelity modeling approaches, including multibody formulations with flexible links derived from Finite Element data. These models enable accurate prediction of robot dynamics early in the development process without requiring experimentally identified stiffness parameters. To further enhance model realism, extended joint models incorporating gear, bearing, and link flexibility are developed, allowing separation and identification of transmission- and arm-side dynamics using dual encoder measurements.

The second central contribution of the thesis is the development of improved experiment design strategies for frequency-domain identification. By formulating and solving optimization problems based on information criteria, optimal robot configurations for data collection are identified, significantly reducing experimental effort while maintaining or improving parameter estimation accuracy. These methods are validated both in simulation and on real industrial manipulators, demonstrating substantial reductions in experiment time. The approach is further extended to systems incorporating nonlinear transmission stiffness through the use of statistical linearization.

Third, the thesis introduces advanced estimation techniques for extracting more information from limited data. In particular, local parametric methods for frequency response function estimation are adapted to nonlinear, closed-loop, multi-input multi-output robotic systems, reducing the number of required experiments and improving estimation accuracy compared to classical approaches.

A key contribution of the thesis is the experimental validation of the proposed methods and models, ensuring their practical relevance. Overall, the results demonstrate that substantial improvements in model fidelity can be achieved without increasing experimental resources. By combining physically parameterized models, optimized experiment design, and efficient estimation methods, the proposed framework has significant practical and industrial impact, supporting the development of accurate and computationally efficient dynamic models for industrial robot manipulators.

Place, publisher, year, edition, pages
Linköping: Linköping University Electronic Press, 2026. p. 87
Series
Linköping Studies in Science and Technology. Dissertations, ISSN 0345-7524 ; 2534
National Category
Robotics and automation
Identifiers
urn:nbn:se:liu:diva-226494 (URN)10.3384/9789181186147 (DOI)9789181186130 (ISBN)9789181186147 (ISBN)
Public defence
2026-09-18, BL32, B Building, Campus Valla, Linköping, 10:15
Supervisors
Note

Funding agency: Vinnova competence center LINK-SIC

Available from: 2026-08-12 Created: 2026-08-12 Last updated: 2026-08-12Bibliographically approved

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