ELI2300 Dynamic Systems Course description

The course deals with analysis of linear and dynamic systems in the time domain and the frequency domain. The course also provides a basic introduction to modeling of fluid systems and thermal systems and provides 3 credits in chemistry.

Builds on ELPE1300 Electric Circuits, MEK1400 Physics, MEK1000 Mathematics 1000, and MEK1000 Mathematics 1000

No requirements over and above the admission requirements.

After completing the course, the student is expected to have achieved the following learning outcomes defined in terms of knowledge, skills and general competence:

Knowledge

The student has knowledge of:

• methodologies for modelling simple physical systems (such as mechanical, electrical, physiological, thermal and fluid systems)
• different dynamic systems models for linear systems (in particular 1st and 2nd order systems) with the help of differential equations, block diagrams, state spaces and transfer functions
• Laplace transformation and transfer functions
• Inverse Laplace transform and time responses
• methods for performing stability analyses of open and feedback control systems
• Bode diagram, Frequency analysis and frequency response
• basic tools for stability analysis of open-loop and feedback systems
• numerical simulation of dynamic systems using MATLAB/SIMULINK

Skills

The student is capable of:

• setting up mathematical models of simple physical systems
• describing continuous, linear dynamic first-order and second-order systems with the help of differential equations, block diagrams, state spaces and transfer functions, and converting between different models
• identifying first-order and second-order systems based on their response in time and frequency domains
• performing stability analyses of open and feedback control systems
• performing a Laplace transform and an inverse Laplace transform
• applying Laplace-based techniques to frequency and transient analyses of first-order and second-order systems

General competence

The student is capable of:

• analyzing a modelling problem and specifying a solution method
• finding mathematical models that can be used to solve control engineering problems
• discussing and justifying their choices and priorities in the modelling of continuous dynamic systems
• applying the knowledge to analyze and possibly control dynamic systems
• conducting academic studies and written work in an honest and ethical way, without any form of plagiarism and inappropriate behavior in work assignments and project reports.

The teaching consists of lectures combined with exercises.

Coursework autumn 2020 due to Covid-19:

The following coursework is compulsory and must be approved before the student can sit the exam:

• 6 of a total of 8 exercises or MATLAB exercises with 2-5 pages hand-in approximately 4 hours per exercise.

[Coursework earlier:]

The following coursework is compulsory and must be approved before the student can sit the exam:

• 6 of a total of 8 exercises or MATLAB exercises with 2-5 pages hand-in approximately 4 hours per exercise.
• 1 project assignment in groups of 2-3 students. Submission of report upto 10 pages about 30 hours.

Exam autumn 2020 due to Cvid-19:

Individual digital home exam 3,5 hours (included 30 min to upload and scan).

[Exam earlier:]

Individual written exam, 3 hours

The exam result can be appealed.

A handheld calculator that cannot be used for wireless communication or to perform symbolic calculations. If the calculator’s internal memory can store data, the memory must be deleted before the exam. Random checks may be carried out.

Grade scale A-F.

One internal examiner. The course may be selected for grading by external examiners.