Course detail

Modeling and Simulation I

FSI-RDO-A Acad. year: 2023/2024 Winter semester

This module deals with modelling of dynamic system on computer. Systems are described by ordinary differential equations, differential-algebraic equations or e.g. by state automata. MATLAB and Simulink are used as main tools including their advanced functions and features. Theoretical findings are demonstrated on real educational models controlled from Simulink using I/O card MF624.

Language of instruction

English

Number of ECTS credits

6

Entry knowledge

Vectors and matrixes. ODEs. Mathematics and physics in the scope of previous study. Basic knowledge of programming in MATLAB.

Rules for evaluation and completion of the course

The evaluation is based on the standard point system (0-100 points). Students can get up to 30 points for 3 tests during the semester. A minimum of 15 points is required to be classified. Further, the students can get up to 20 points for semestral projects and their presentation and up to 50 points for the final exam.


Attendance at practical training is obligatory. Evaluation are made on exercises based on evaluation criteria.

Aims

Students will learn about modelling of dynamic systems (mechanical, electromechanical, control) on computer.
Students gain knowledge about
• linear systems and its analysis
• modelling in MATLAB/Simulink
• modelling of control systems
• practical experience with control of real system using I/O card from Simulink.

The study programmes with the given course

Programme B-STI-Z: Fundamentals of Mechanical Engineering, Bachelor's, recommended course

Type of course unit

 

Lecture

26 hours, optionally

Teacher / Lecturer

Syllabus

1. Introduction, motivation, examples
2. Dynamic system with continuous time
3. Solution of ODE in Matlab
4. Solution of ODE in Simulinku
5. Application of Maple for equation building
6. Dynamic systems with discrete time
7. Impact, friction and contact modeling in MBS
8. Linearization
9. State space models of linear systems
10. Control of linearized mechanical systems
11. Verification of nonlinear plant model with linear control
12. Stability of linear systems
13. Presentation of semestral project results

Laboratory exercise

13 hours, compulsory

Syllabus

7.-12. Experimental work – control of real system from PC
13. Presentation of semestral project, assignment.

Computer-assisted exercise

13 hours, compulsory

Syllabus

1. Introduction to Matlab and Simulink
2.-3. Modelling of linear oscilator
4.-6. Work on semestral project, tutorial