Dynamical systems
Summary
Provides the students with basic notions and tools for the analysis of dynamic systems. Shows them how to develop mathematical models of dynamic systems and perform analysis in time and frequency domains.
Content
- Dynamic behavior of physical systems with electrical, mechanical, electromechanical, fluid, and thermal components. Concept of process, system, and model.
- Linearization procedure. Convolution. State-space representation.
- Laplace transformation. Concept of transfer function. Poles and zeros.
- Transient and frequency response of linear dynamical systems. Bode and Nyquist plots.
Keywords
Mathematical modeling, transfer function, time and frequency domain analysis
Learning Prerequisites
Required courses
- Analysis I-III
- General Physics I and II
Learning Outcomes
By the end of the course, the student must be able to:
- Represent a physical process as a system with its inputs, outputs, and disturbances, A1
- Analyze a linear dynamical system (both time and frequency response), A3
- Represent a system by a transfer function and by a linear or nonlinear state-space model, A4
- Construct a linear model of a nonlinear system, A2
Transversal skills
- Manage priorities.
- Assess one's own level of skill acquisition, and plan their on-going learning goals.
- Access and evaluate appropriate sources of information.
- Use both general and domain specific IT resources and tools
- Plan and carry out activities in a way which makes optimal use of available time and other resources.
Teaching methods
Lectures, written exercices, and computer-based exercises
Expected student activities
- Participate to lectures and exercice sessions
- Work on exercises
- MATLAB assignments
Assessment methods
Written Exam
Supervision
| Office hours | No |
| Assistants | Yes |
| Forum | Yes |
Resources
Bibliography
- System Dynamics, 4th Edition by K. Ogata, Prentice Hall, 2004
- System Dynamics, 3rd Edition by W. Palm, McGraw-Hill College, 2013
Ressources en bibliothèque
Moodle Link
Prerequisite for
- Control systems (ME-321)
- Mechanical vibrations (ME-332)
- Multivariable systems (ME-324)
- Measurement techniques (ME-301)
- Dynamical effects in mechanical design (ME-311)
In the programs
- Semester: Spring
- Exam form: Written (summer session)
- Subject examined: Dynamical systems
- Courses: 2 Hour(s) per week x 14 weeks
- Exercises: 1 Hour(s) per week x 14 weeks
- Type: mandatory