Available via license: CC BY 4.0
Content may be subject to copyright.
Accepted Manuscript
This peer-reviewed article has been accepted for publication but not yet copyedited or
typeset, and so may be subject to change during the production process. The article is
considered published and may be cited using its DOI.
10.1017/cbp.2023.3
© The Author(s), 2023. Published by Cambridge University Press.
This is an Open Access article, distributed under the terms of the Creative Commons
Attribution-NonCommercial-NoDerivatives licence (http://creativecommons.org/licenses/by-
nc-nd/4.0/), which permits non-commercial re-use, distribution, and reproduction in any
medium, provided the original work is unaltered and is properly cited. The written permission
of Cambridge University Press must be obtained for commercial re-use or in order to create a
derivative work.
How do we Engineer Trustworthy Digital Twins?
Peter Gorm Larsen1, John Fitzgerald2, and Jim Woodcock3
1Aarhus University Faculty of Health Sciences, Aarhus, Denmark
2Newcastle University, Newcastle upon Tyne, United Kingdom of Great Britain and Northern
Ireland
3University of York, York, United Kingdom of Great Britain and Northern Ireland
Context
There has been a rapid rise of interest in the potential of Digital Twins to transform a vast
range of Cyber-Physical System (CPS) applications, from national infrastructure to surgical
robots. But what frameworks, methods and tools are needed to create and maintain Digital
Twins on which we can depend?
Digital Twins are virtual replicas of real-world systems. Unlike traditional models, data and
control flows couple a digital twin to the CPS of interest and must remain up to date as the
CPS evolves. The twin can influence or control the CPS itself. It is not a substitute for the
CPS. However, it adds value by providing analytics, visualisation or other capabilities,
allowing the twin’s users to make better-informed decisions about interventions. These
include preventive maintenance, response to accidental or malicious events, and
reconfiguration and redesign.
https://doi.org/10.1017/cbp.2023.3 Published online by Cambridge University Press
Accepted Manuscript
This digital twin vision is attractive. However, for a twin to merit the reliance we place on it,
we need frameworks, methods, and tools that systematically address the full range of systems
engineering activities. We must produce evidence that adds to our confidence that a twin is fit
for purpose. Digital twins for CPSs need multi-disciplinary models and analytic services,
raising significant challenges: maintaining sufficient fidelity to the evolving CPS, time
delays, noise in communications to and from the twin, interactions with other systems and
human operators, and the need for CPS elements and environments to evolve.
In this research question, we welcome contributions to the systematic engineering of
trustworthy digital twins supporting CPSs to provide additional value for their users.
Examples include, but are not limited to, frameworks, methods, and tools for the following:
Systems engineering for dependable digital twins of CPSs.
Architectures for dependable digital twins.
Support for CPS operation in environments outside our control.
CPS anomaly detection in digital twins.
Addressing noise and timing delays in twin-CPS communications.
Composing diverse digital twins in systems-of-systems and their impact on
dependability.
Ensuring dependability, including security and safety, of digital twins and digital
twin-enabled systems.
Determining when to enable a CPS to be autonomous and when to rely on humans to
take decisions.
Coping with real-time data for simulation when carrying out “what-if” scenarios.
Ensuring consistency between models of CPSs at different levels of abstraction inside
a DT and automatically choosing the best one for the desired analysis.
We want to measure progress in answering this question. We welcome suggestions from the
community for a set of public CPS case studies as benchmark problems. As a starting point
we propose a simple “hello world” case study that has proved helpful in illustrating digital
twin features: an incubator. We believe the CPS community will benefit from arranging a
scientific event to discuss how to establish additional and more complex curated CPS case
studies to measure progress.
https://doi.org/10.1017/cbp.2023.3 Published online by Cambridge University Press
Accepted Manuscript
How to contribute to this Question
If you believe you can contribute to answering this Question with your research outputs find
out how to submit in the Instructions for authors
(https://www.cambridge.org/core/journals/research-directions-cyber-physical-
systems/information/author-instructions/preparing-your-materials).
This journal publishes Results, Analyses, Impact papers and additional content such as
preprints and “grey literature”. Questions will be closed when the editors agree that enough
has been published to answer the Question so before submitting, check if this is still an active
Question. If it is closed, another relevant Question may be currently open, so do review all
the open Questions in your field. For any further queries check the information pages
(https://www.cambridge.org/core/journals/research-directions-cyber-physical-
systems/information/about-this-journal) or contact this email (cps@cambridge.org).
Competing interests: The authors declare none.
https://doi.org/10.1017/cbp.2023.3 Published online by Cambridge University Press
Accepted Manuscript
References:
Digital twin definitions, challenges and surveys
Rasheed, O. San and T. Kvamsdal, "Digital Twin: Values, Challenges and Enablers From a
Modeling Perspective," in IEEE Access, vol. 8, pp. 21980-22012, 2020, doi:
10.1109/ACCESS.2020.2970143.
David Jones, Chris Snider, Aydin Nassehi, Jason Yon, Ben Hicks, Characterising the Digital
Twin: A systematic literature review, CIRP Journal of Manufacturing Science and
Technology, Volume 29, Part A, 2020, Pages 36-52, ISSN 1755-5817.
Elisa Negri, Luca Fumagalli, Marco Macchi, A Review of the Roles of Digital Twin in CPS-
based Production Systems, Procedia Manufacturing, Volume 11, 2017, Pages 939-948, ISSN
2351-9789.
Fuller, Z. Fan, C. Day and C. Barlow, "Digital Twin: Enabling Technologies, Challenges and
Open Research," in IEEE Access, vol. 8, pp. 108952-108971, 2020, doi:
10.1109/ACCESS.2020.2998358.
Werner Kritzinger, Matthias Karner, Georg Traar, Jan Henjes, Wilfried Sihn, Digital Twin in
manufacturing: A categorical literature review and classification, IFAC-PapersOnLine,
Volume 51, Issue 11, 2018, Pages 1016-1022, ISSN 2405-8963.
B. R. Barricelli, E. Casiraghi and D. Fogli, "A Survey on Digital Twin: Definitions,
Characteristics, Applications, and Design Implications," in IEEE Access, vol. 7, pp. 167653-
167671, 2019, doi: 10.1109/ACCESS.2019.2953499.
F. Tao, H. Zhang, A. Liu and A. Y. C. Nee, "Digital Twin in Industry: State-of-the-Art," in
IEEE Transactions on Industrial Informatics, vol. 15, no. 4, pp. 2405-2415, April 2019, doi:
10.1109/TII.2018.2873186.
Tao, F., Cheng, J., Qi, Q. et al. Digital twin-driven product design, manufacturing and service
with big data. Int J Adv Manuf Technol 94, 3563–3576 (2018).
F. Tao, H. Zhang, A. Liu and A. Y. C. Nee, "Digital Twin in Industry: State-of-the-Art," in
IEEE Transactions on Industrial Informatics, vol. 15, no. 4, pp. 2405-2415, April 2019, doi:
10.1109/TII.2018.2873186.
https://doi.org/10.1017/cbp.2023.3 Published online by Cambridge University Press
Accepted Manuscript
F. Naseri, S. Gil, C. Barbu, E. Cetkin, G. Yarimca, A.C. Jensen, P.G. Larsen, C. Gomes,
Digital twin of electric vehicle battery systems: Comprehensive review of the use cases,
requirements, and platforms, Renewable and Sustainable Energy Reviews, Volume 179,
2023, 113280, ISSN 1364-0321.
Bordeleau, F., Combemale, B., Eramo, R., van den Brand, M., Wimmer, M. (2020). Towards
Model-Driven Digital Twin Engineering: Current Opportunities and Future Challenges. In:
Babur, Ö., Denil, J., Vogel-Heuser, B. (eds) Systems Modelling and Management. ICSMM
2020. Communications in Computer and Information Science, vol 1262. Springer, Cham.
Shohin Aheleroff, Xun Xu, Ray Y. Zhong, Yuqian Lu, Digital Twin as a Service (DTaaS) in
Industry 4.0: An Architecture Reference Model, Advanced Engineering Informatics, Volume
47, 2021, 101225, ISSN 1474-0346.
Mengnan Liu, Shuiliang Fang, Huiyue Dong, Cunzhi Xu, Review of digital twin about
concepts, technologies, and industrial applications, Journal of Manufacturing Systems,
Volume 58, Part B, 2021, Pages 346-361, ISSN 0278-6125.
Botín-Sanabria, D.M.; Mihaita, A.-S.; Peimbert-García, R.E.; Ramírez-Moreno, M.A.;
Ramírez-Mendoza, R.A.; Lozoya-Santos, J.d.J. Digital Twin Technology Challenges and
Applications: A Comprehensive Review. Remote Sens. 2022, 14, 1335.
Angira Sharma, Edward Kosasih, Jie Zhang, Alexandra Brintrup, Anisoara Calinescu, Digital
Twins: State of the art theory and practice, challenges, and open research questions, Journal
of Industrial Information Integration, Volume 30, 2022, 100383, ISSN 2452-414X.
Weyns, Danny, M. Usman Iftikhar, Didac Gil de la Iglesia, and Tanvir Ahmad. “A Survey of
Formal Methods in Self-Adaptive Systems.” In Proceedings of the Fifth International C*
Conference on Computer Science and Software Engineering - C3S2E ’12, 67–79. Montreal,
Quebec, Canada: ACM Press, 2012. https://doi.org/10.1145/2347583.2347592.
Digital twin for incubator and Curating Case Studies
Oakes B., Parsai A., Van Mierlo S., Demeyer S., Denil J., De Meulenaere P. and Vangheluwe
H. (2021). Improving Digital Twin Experience Reports. In Proceedings of the 9th
International Conference on Model-Driven Engineering and Software Development - Volume
1: MODELSWARD, ISBN 978-989-758-487-9, pages 179-190. DOI:
10.5220/0010236101790190.
https://doi.org/10.1017/cbp.2023.3 Published online by Cambridge University Press
Accepted Manuscript
Hao Feng, Cláudio Gomes, Casper Thule, Kenneth Lausdahl, Michael Sandberg, Peter Gorm
Larsen, The Incubator Case Study for Digital Twin Engineering, arXiv:2102.10309, February
2021.
H. Feng, C. Gomes, C. Thule, K. Lausdahl, A. Iosifidis and P. G. Larsen, "Introduction to
Digital Twin Engineering," 2021 Annual Modeling and Simulation Conference (ANNSIM),
Fairfax, VA, USA, 2021, pp. 1-12, doi: 10.23919/ANNSIM52504.2021.9552135.
Feng, H., Gomes, C., Sandberg, M., Macedo, H.D., Larsen, P.G. (2022). Under What
Conditions Does a Digital Shadow Track a Periodic Linear Physical System?. In: Software
Engineering and Formal Methods. SEFM 2021 Collocated Workshops. SEFM 2021. Lecture
Notes in Computer Science, vol 13230. Springer, Cham. https://doi.org/10.1007/978-3-031-
12429-7_11
H. Feng et al., "Integration of The Mape-K Loop In Digital Twins," 2022 Annual Modeling
and Simulation Conference (ANNSIM), San Diego, CA, USA, 2022, pp. 102-113, doi:
10.23919/ANNSIM55834.2022.9859489.
Wright, Thomas, Cláudio Gomes, and Jim Woodcock. “Formally Verified Self-Adaptation of
an Incubator Digital Twin.” In Leveraging Applications of Formal Methods, Verification and
Validation. Practice, 13704:89–109. Cham: Springer Nature Switzerland, 2022.
https://doi.org/10.1007/978-3-031-19762-8_7.
https://doi.org/10.1017/cbp.2023.3 Published online by Cambridge University Press