Modeling and Simulation of Dynamic Systems
Code  Completion  Credits  Range  Language 

AE3B35MSD  Z,ZK  6  2P+2L  English 
 Lecturer:
 Tutor:
 Supervisor:
 Department of Control Engineering
 Synopsis:

The goal of the course is to teach you how to build controloriented mathematical models of complex dynamic systems. The focus will be on modeling techniques that can glue together subsystems from diverse physical domains. We will show that the concept of energy (or power), which is universally valid across physical domains, is the right tool for combining electrical, mechanical, hydraulic, pneumatic, thermal and thermodynamic systems. Some of the methods presented in this course will be at least partially useful in the domains where the concept of energy is not so useful such as socioeconomic systems. In total we will introduce three groups of modeling techniques, which are based on the concept of energy. Analytical methods based on the Lagrangean and Hamiltonian functions well known from the studies in theoretical physics and/or mechanics, objectoriented modeling as an alternative to the more widespread blockoriented modeling, and last but not least an intuitive graphical techniques known as bond graph modeling. Whichever methodology is followed to create the mathematical model, of of the ways to analyze it is a numerical simulation, that is, numerical solution of the corresponding differential or differentialalgebraic equations. In this course we will be exposed to the basics of numerical techniques for differential and differentialalgebraic equations with the objective to understand the basic issues such as approximation errors, numerical stability and suitability of the common methods for different classes of models.
 Requirements:

Solid mastering all the parts of physics (at the undergraduate level), above all mechanics, electromagnetism and thermodynamics. Familiarity with basic results from differential calculus (differential equations and their numerical solution) and linear algebra (sets of linear equations and their numerical solution).
 Syllabus of lectures:

1.) Overview of formats of mathematical models of dynamical systems; partially a recap and partially new
2.) Basic concepts and components for modeling using bond graphs. Simple examples for electrical, mechanical and hydraulic systems
3.) Modeling simple systems using bond graphs; adding causal strokes and extracting a signal model from a bond graph
4.) Obtaining statespace quations from causal bond graphs; further examples of modeling using bond graphs; reductions of bond graphs
5.) Introduction to the Lagrange methodology
6.) Using Lagrange methodology to model multibody mechanical systems
7.) Examples of modeling and simulation projects from industry.
8.) Software for modeling and simulation of dynamic systems
9.) Hybrid dynamic systems
10.) Thermal systems modeled using bond graphs
11.) Algorithms and concepts of numerical simulation of dynamical systems
12.) Algorithms and concepts of numerical simulation of dynamical systems
13.) Modeling distributed parameter systems using bond graphs
 Syllabus of tutorials:

The exercises will be dedicated to the work on assigned projects.
 Study Objective:

Teach students to create mathematical models of realistically complex dynamic systems found in diverse application areas and analyze these by means of numerical simulations.
 Study materials:

The course is based on
[1.] F. T. Brown, Engineering System Dynamics. A Unified GraphCentered Approach, Second Edition, 2nd ed. CRC Press, 2006.
The book is available in about 30 copies in the FEL library in NTK. In this course we will rely on students having access to the book.
Another nice book, which can to some extent replace [1] is
[2.] D.C. Karnopp et al. System Dynamics: Modeling and simulation of mechatronic systems. Wiley, 4. vyd., 2006.
But students will not be required to have an access to this book.
For more tips on literature, visit the course website http://dce.fel.cvut.cz/msd
 Note:
 Further information:
 https://moodle.fel.cvut.cz/courses/A3B35MSD
 No timetable has been prepared for this course
 The course is a part of the following study plans: