Modeling of Systems and Processes

Lecturer:

Jan Přikryl, Miroslav Vlček (gar.), Bohumil Kovář

Tutor:

Jan Přikryl, Miroslav Vlček (gar.), Lucie Kárná, Bohumil Kovář, Lukáš Trejra

Supervisor:

Department of Applied Mathematics

Synopsis:

Mathematical methods and algorithms for modelling and evaluating the systems in continuous and discrete time domain. Laplace transform, and z-transform for solution of differential, and difference equations. Practical use of technical computing environment (Simulink, Matlab). Mathematical methods and algorithms for modelling and evaluating the systems in continuous and discrete time domain. Laplace transform, and z-transform for solution of differential, and difference equations. Practical use of technical computing environment (Simulink, Matlab).

Requirements:

Fundamentals of vectors and matrices, complex numbers and functions of complex variables, properties of trigonometric, hyperbolic and exponential functions, derivatives, summations and integrals.

Syllabus of lectures:

Syllabus of tutorials:

Study Objective:

Use of Laplace transform for solving differential equations representing continuous LTI systems, z-transform for solving difference equations representing discrete LTI systems; state space description of a given dynamic system, stability verification of a dynamic system.

Study materials:

Carlson G. E., Signal and Linear System Analysis with MATLAB, John Wileys & Sons., 1998

Horáček P., Systémy a modely, Praha, Vydavatelství ČVUT, 1999

Soukup V., Teorie dynamických systémů, Praha, Vydavatelství ČVUT, 1998

Note:

Time-table for winter semester 2011/2012:

Time-table is not available yet

Time-table for summer semester 2011/2012:

Time-table is not available yet

The course is a part of the following study plans:

• MED bak.komb.10/11 (compulsory course in the program)
• AUT bak.prez.11/12 (compulsory course in the program)
• DOS bak.prez.11/12 (compulsory course in the program)
• ITS bak.prez.11/12 (compulsory course in the program)
• LED bak.prez.11/12 (compulsory course in the program)
• MED bak.prez.11/12 (compulsory course in the program)