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Modeling and Identification of Dynamic Stiffness in Robotic Manipulators: For High-fidelity Physics Models in the Age of AI
Linköping University, Department of Electrical Engineering, Automatic Control. Linköping University, Faculty of Science & Engineering.
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: urn:nbn:se:liu:diva-226494DOI: 10.3384/9789181186147ISBN: 9789181186130 (print)ISBN: 9789181186147 (electronic)OAI: oai:DiVA.org:liu-226494DiVA, id: diva2:2091485
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
List of papers
1. Dynamic modeling of robotic manipulators for accuracy evaluation
Open this publication in new window or tab >>Dynamic modeling of robotic manipulators for accuracy evaluation
2020 (English)In: 2020 IEEE International Conference on Robotics and Automation (ICRA), Institute of Electrical and Electronics Engineers (IEEE), 2020, p. 8144-8150Conference paper, Published paper (Refereed)
Abstract [en]

In order to fulfill conflicting requirements in the development of industrial robots, such as increased accuracy of a weightreduced manipulator with lower mechanical stiffness, the robot's dynamical behavior must be evaluated early in the development process. This leads to the need of accurate multibody models of the manipulator under development.This paper deals with multibody models that include flexible bodies, which are exported from the corresponding Finite Element model of the structural parts. It is shown that such a flexible link manipulator model, which is purely based on development and datasheet data, is suitable for an accurate description of an industrial robot's dynamic behavior. No stiffness parameters need to be identified by experimental methods, making this approach especially relevant during the development of new manipulators. This paper presents results of experiments in time and frequency domain for analyzing the modeling approach and for validating the model performance against real robot behavior.

Place, publisher, year, edition, pages
Institute of Electrical and Electronics Engineers (IEEE), 2020
National Category
Robotics and automation
Identifiers
urn:nbn:se:liu:diva-193540 (URN)10.1109/ICRA40945.2020.9197304 (DOI)978-1-7281-7395-5 (ISBN)
Conference
2020 IEEE International Conference on Robotics and Automation (ICRA) 31 May 2020 - 31 August 2020
Available from: 2023-05-04 Created: 2023-05-04 Last updated: 2026-08-12Bibliographically approved
2. Improving experiment design for frequency-domain identification of industrial robots
Open this publication in new window or tab >>Improving experiment design for frequency-domain identification of industrial robots
Show others...
2022 (English)In: IFAC-PapersOnLine, ELSEVIER , 2022, Vol. 55, p. 475-480Conference paper, Published paper (Refereed)
Abstract [en]

For accurate control of industrial robots, a fast and easy-to-use method to estimate the model parameters based on experimental data is desired. This publication is about optimal experiment design in terms of short experiment times and an accurate parameter estimate. An optimization problem that is based on information matrices is solved for finding the optimal robot configurations for the identification experiment. A simulation study shows that the experiment time can be reduced significantly and the accuracy of the parameter estimate can be increased if experiments are conducted only in the optimal manipulator configurations. Furthermore, it is shown that a realistic estimate of the uncertainty in the frequency response function is crucial for successful experiment design.

Place, publisher, year, edition, pages
ELSEVIER, 2022
Series
IFAC-PapersOnLine, ISSN 2405-8971, E-ISSN 2405-8963
Keywords
Closed-loop identification, frequency-domain, nonlinear systems, industrial robots, optimal experiment design, covariance matrices
National Category
Robotics and automation Control Engineering
Identifiers
urn:nbn:se:liu:diva-190387 (URN)10.1016/j.ifacol.2022.11.228 (DOI)000904629000077 ()2-s2.0-85146148960 (Scopus ID)
Conference
2nd Modeling, Estimation and Control Conference MECC 2022: Jersey City, NJ, USA, 2–5 October 2022
Available from: 2022-12-06 Created: 2022-12-06 Last updated: 2026-08-12Bibliographically approved
3. Experimental evaluation of a method for improving experiment design in robot identification
Open this publication in new window or tab >>Experimental evaluation of a method for improving experiment design in robot identification
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2023 (English)In: 2023 IEEE International Conference on Robotics and Automation (ICRA) / [ed] Marcia K. O'Malley, IEEE , 2023, p. 11432-11438Conference paper, Published paper (Refereed)
Abstract [en]

The control system of industrial robots is often model-based, and the quality of the model of high importance. Therefore, a fast and easy-to-use process for finding the model parameters from a combination of prior knowledge and measurement data is required. It has been shown that the experiment design can be improved in terms of short experiment times and an accurate parameter estimate if the robot configurations for the identification experiments are selected carefully. Estimates of the information matrix can be generated based on simulations for a number of candidate configurations, and an optimization problem can be solved for finding the optimal configurations. This work shows that the proposed method for improved experiment design works with a real manipulator, i.e. it is demonstrated that the experiment time is reduced significantly and the accuracy of the parameter estimate can be maintained or reduced if experiments are conducted only in the optimal manipulator configurations. It is also shown that the model improvement is relevant for realizing accurate control. Finally, the experimental data reveals that, in order to further improve the model accuracy, a more advanced model structure is needed for taking into account the commonly present nonlinear transmission stiffness of the robotic joints.

Place, publisher, year, edition, pages
IEEE, 2023
National Category
Control Engineering
Identifiers
urn:nbn:se:liu:diva-196489 (URN)10.1109/icra48891.2023.10161092 (DOI)001048371103078 ()9798350323658 (ISBN)9798350323665 (ISBN)
Conference
IEEE International Conference on Robotics and Automation (ICRA), 29th May - 2nd June 2023, ExCel London
Note

Funding: Vinnova competence center LINK-SIC

Available from: 2023-08-09 Created: 2023-08-09 Last updated: 2026-08-12
4. Efficient Estimation of Frequency Response Functions of Industrial Robots Using the Local Rational Method
Open this publication in new window or tab >>Efficient Estimation of Frequency Response Functions of Industrial Robots Using the Local Rational Method
2024 (English)In: 2024 IEEE/RSJ INTERNATIONAL CONFERENCE ON INTELLIGENT ROBOTS AND SYSTEMS (IROS 2024), IEEE , 2024, p. 8717-8723Conference paper, Published paper (Refereed)
Abstract [en]

Nonparametric estimates of frequency response functions (FRFs) are often suitable for describing the dynamics of a mechanical system. If treating these estimates as measurements, they can be used for parametric identification of, e.g., a gray-box model. This paper shows that a more accurate parametric model can be identified based on local parametric FRF estimates, giving a shorter total experiment time, compared to classical methods. Classical methods for nonparametric FRF estimation of MIMO (Multiple Input Multiple Output) systems require at least as many experiments as the system has inputs. Local parametric FRF estimation methods have been developed for avoiding multiple experiments. In this paper, these local methods are adapted and applied for estimating the FRFs of a 6-axes robotic manipulator, which is a nonlinear MIMO system operating in closed loop. The aim is to reduce the experiment time and amount of data needed for identification. The resulting FRFs are analyzed in an experimental study and compared to estimates obtained by classical MIMO techniques.

Place, publisher, year, edition, pages
IEEE, 2024
Series
IEEE International Conference on Intelligent Robots and Systems, ISSN 2153-0858, E-ISSN 2153-0866
National Category
Control Engineering
Identifiers
urn:nbn:se:liu:diva-212859 (URN)10.1109/IROS58592.2024.10802182 (DOI)001433985300140 ()2-s2.0-85216491852 (Scopus ID)9798350377712 (ISBN)9798350377705 (ISBN)
Conference
2024 International Conference on Intelligent Robots and Systems, Abu Dhabi, U ARAB EMIRATES, oct 14-18, 2024
Note

Funding Agencies|Vinnova competence center LINK-SIC

Available from: 2025-04-08 Created: 2025-04-08 Last updated: 2026-08-12
5. Using statistical linearization in experiment design for identification of robotic manipulators
Open this publication in new window or tab >>Using statistical linearization in experiment design for identification of robotic manipulators
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
Keywords
Industrial robots; Closed-loop identification; Frequency-domain; Nonlinear systems; Linearization; Experiment design
National Category
Mechanical Engineering Control Engineering
Identifiers
urn:nbn:se:liu:diva-206205 (URN)10.1016/j.conengprac.2024.106008 (DOI)001262062500001 ()
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

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Duberg, Stefanie A.

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