2024 Faculty Courses School of Engineering Undergraduate major in Mechanical Engineering
Modeling and Control Theory
- Academic unit or major
- Undergraduate major in Mechanical Engineering
- Instructor(s)
- Hiroshi Yamaura
- Class Format
- Lecture (Face-to-face)
- Media-enhanced courses
- -
- Day of week/Period
(Classrooms) - 5-8 Mon
- Class
- -
- Course Code
- MEC.I312
- Number of credits
- 200
- Course offered
- 2024
- Offered quarter
- 2Q
- Syllabus updated
- Mar 14, 2025
- Language
- Japanese
Syllabus
Course overview and goals
This course focuses on modeling of electric motor systems, electric circuits, vibration systems etc., and covers analysis techniques of linear time-invariant systems and design method of feedback control systems as a basis of linear control theory.
The topics include transfer function derivation of dynamic models, analytical techniques of system characteristics using the transfer functions, and design methods of feedback control systems based on the definition of system stability and some stability criterions.
Course description and aims
At the end of this course, students will be able to:
1) Derive transfer functions of linear time-invariant systems from their dynamic models.
2) Have an understanding of analytical techniques using block diagram, vector locus and bode diagram, and on the basis of them, examine system characteristics expressed as transfer functions.
3) Explain the definition of stability and confirm system stability.
4) Have an understanding of feedback control systems and their design methods based on classical control systems and deign control systems that satisfy design specifications
Keywords
System and Modeling, Laplace transforms, Transfer function, Block diagram, Transient response, Frequency characteristics, Nyquist diagram, Bode diagram, stability, stability criterion, PID control，Dynamic compensator
Competencies
- Specialist skills
- Intercultural skills
- Communication skills
- Critical thinking skills
- Practical and/or problem-solving skills
- This subject corresponds to the acquisition of the following learning objectives. 4. [Development ability] (inquiry ability or setting ability) ability to organize and analyze 6. Advanced specialized academic skills in mechanical engineering 7. Ability to utilize specialized knowledge to solve new problems and make creative proposals.
Class flow
Little test will be done at the last of every lecture; No.1 - 7.
Lecture with a presentation software.
Course schedule/Objectives
| Course schedule | Objectives | |
|---|---|---|
| Class 1 | System and modeling | Understand system and modeling. Understand feedback control system |
| Class 2 | Transfer function (1) | Derive the transfer functions by Laplace transformation. |
| Class 3 | Transfer function (2) | Derive the transfer functions by Laplace transformation. |
| Class 4 | Block diagram | Understand the block diagram |
| Class 5 | Transient response | Derivation of the transient response |
| Class 6 | Frequency response - Nyquist diagram | Understand the Nyquist diagram. |
| Class 7 | Frequency response - Bode diagram (1) | Understand the bode diagrams of the first and second delay systems |
| Class 8 | Frequency response - Bode diagram (2) | Understand the bode diagrams of the phase lead and lag compensation controllers |
| Class 9 | The Nyquist criterion | Understand the stability of feedback control systems and the Nyquist criterion |
| Class 10 | Phase margin and gain margin | Understand the definition and usage of phase margin and gain margin |
| Class 11 | Steady state characteristic of feedback control systems | Understand the steady state characteristic of feedback control systems |
| Class 12 | Performance evaluation of feedback control systems | Understand the performance evaluation of feedback control systems |
| Class 13 | Design of PID controller and phase lead compensation controller | Understand the PID controller and phase lead compensation controller and their design methods |
| Class 14 | Design of phase lag compensation controller | Understand the phase lag compensation controller and its design method |
Study advice (preparation and review)
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.
Textbook(s)
Handout will be distributed.
Reference books, course materials, etc.
"Dynamic Modeling and Control of Engineering Systems", Bohdan T. Kulakowski、 John F. Gardner, Cambridge University Press
Evaluation methods and criteria
Students’ course scores are based on reports (50%), and final exam (50%).
If the final exam cannot be conducted, it will be replaced with reports or exercises.
Related courses
- Robot Kinematics
- Fundamentals of Instrumentation Engineering
- MEC.I332 ： Exercise in Mechatronics
Prerequisites
Students must have successfully completed Engineering Mechanics, Complex Function Theory and Ordinary Differential Equations or have equivalent knowledge. It is desirable to take this course for taking MEC.I332:Exercise in Mechatronics.