Course detail
Modeling and Simulation I
FSI-RDO Acad. year: 2025/2026 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
Czech
Number of ECTS credits
6
Supervisor
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 40 points for 2 tests during the semester. A minimum of 20 points is required to be classified. Up to 60 points can be awarded 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-MET-P: Mechatronics, Bachelor's, compulsory
Type of course unit
Lecture
26 hours, optionally
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