Introduction to Digital Twins

The course will involve several of the following topics but possibly also other topics:

• Simulations, methods and applications
• Mathematic foundation for simulations
• Modeling of systems (continuous, discrete-time)
• Digitalisation of models
• Simulation of digital models
• Simulation of closed loop control of digital models
• Visualisation of simulations
• Digital twins of cyber-physical systems
• Other topics

Knowledge

• The candidate can describe the mathematical foundation for simulations
• The candidate can explain various simulation methods
• The candidate knows about various simulation applications and software
• The candidate understands the limits of simulations
• The candidate understands how simple and complex systems may be modelled, simulated and visualised

Skills

• The candidate is able to develop a complete digital twin of a simple cyber-physical system
• The candidate is able to develop continuous-time and discrete-time models for a simple cyber-physical system
• The candidate can analyse the system in the time-domain
• The candidate can simulate the system and apply feedback control techniques
• The candidate can visualise simulations of the system

General competence

• The candidate is able to use digital tools for simulation of cyber-physical systems
• The candidate can reflect on the usefulness of simulations of cyber-physical systems for creating sustainable solutions
• The candidate can formulate scientific problems, propose solutions, and present results both orally and in writing to a technical audience
• The candidate can make evaluations about societal and ethical aspects of technological developments

Learning activities include lectures, tutorials and practical lab/project work. A constructivist approach for learning is endorsed, with focus on problem solving and practical application of theory.