Cyber physical systems (CPSs) have received great attention as technologies of Internet of Things (IoT) advance. Therefore, to learn information engineering, you need to deeply understand not only computers (cyber) but also real world (physical) modeling. In this course, you will learn the foundation of expression and analysis of real world as a dynamical system. In particular, you will obtain basic knowledge on state equations, system expression of transfer functions, and some analysis methods.
The purpose is to:
1) understand the whole picture of dynamical systems;
2) learn the foundation of representation and analysis of dynamical systems;
3) learn a method for modeling dynamical systems using state space and transfer functions;
4) learn a method for analyzing dynamical systems using state space and transfer functions; and
5) visualize behaviors of dynamical systems by numerical analysis.
Dynamical systems, System representation, System analysis, State space, State equations, Modeling, Isomorphism, Primary system, Secondary system, Stability, Transfer function, Block diagram, Transient response, Frequency response, Numerical analysis, Nonlinear system, Cyber physical system
|✔ Specialist skills||Intercultural skills||Communication skills||Critical thinking skills||✔ Practical and/or problem-solving skills|
This course is mainly composed of lectures. In addition, you will do a little exercise or test to deeply understand the content of the lectures.
|Course schedule||Required learning|
|Class 1||Introduction||Why do you study dynamical systems?|
|Class 2||State space representation 1||State equations, Review of linear algebra|
|Class 3||State space representation 2||Solution of state equation, State space and trajectory|
|Class 4||State space representation 3||Stability, Controllability and observability|
|Class 5||State space representation 4||State feedback control, Observer|
|Class 7||Transfer function representation 1||Transfer function, Review of Laplace transform|
|Class 8||Transfer function representation 2||System response characteristics, Stability and pole|
|Class 9||Transfer function representation 3||Frequency response|
|Class 10||Transfer function representation 4||Stability of feedback system|
|Class 12||Numerical analysis 1||Feedback control system|
|Class 13||Numerical analysis 2||Expansion to nonlinear systems|
|Class 14||Conclusion||Information engineering and dynamical systems|
To enhance effective learning, students are encouraged to spend approximately 100 minutes preparing for class and another 100 minutes reviewing class content afterwards (including assignments) for each class.
They should do so by referring to textbooks and other course material.
Lecture materials will be handed out each time.
Your grade for the course will be based on the following components: reports (50%) and tests (50%).
Yoshihiro Miyake email: miyake[at]c.titech.ac.jp, ext.: 5656
Hiroki Ora email: ora[at]c.titech.ac.jp, ext.: 5656