### 2020　Control theory

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Academic unit or major
Undergraduate major in Electrical and Electronic Engineering
Instructor(s)
Chiba Akira  Nishikata Atsuhiro
Course component(s)
Lecture
Mode of instruction
ZOOM
Day/Period(Room No.)
()
Group
-
Course number
EEE.C261
Credits
2
2020
Offered quarter
4Q
Syllabus updated
2020/6/7
Lecture notes updated
-
Language used
Japanese
Access Index

### Course description and aims

I Electrical Engineering students are provided with fundamentals in classical control theory. Control theories are provided in their entirety along with automatic control theory, which is modern control theory.
II Introduction, transfer function, 1st order lag system, 2nd order lag system, block diagram, transient response, vector trajectory, bode plots, stability, steady state characteristics, step response, complicated bode diagram, controller, proportional controller, proportional and integral controller, proportional and derivative controller, PID controller

### Student learning outcomes

The main purpose of the lecture is to obtain design ability of controllers based on classical control theory as below,
The gains of PID controller can be determined with a help of bode plots.
The steady state errors can be estimated.
Rough waveforms of step reseponse can be drawn by free hand.

### Course taught by instructors with work experience

How instructors' work experience benefits the course ✔ Applicable The lecture was an experience to develop PI controller for speed feedback system in motor drive. In addition, he also developed PID controller for manetically suspended system. The design of PI and PID controllers are the main subject of this lecture.

### Keywords

transfer function, 1st order lag system, 2nd order lag system, block diagram, transient response, vector trajectory, bode plots, stability, steady state characteristics, step response, complicated bode diagram, controller, proportional controller, proportional and integral controller, proportional and derivative controller, PID controller

### Competencies that will be developed

 ✔ Specialist skills Intercultural skills Communication skills Critical thinking skills Practical and/or problem-solving skills ✔ ・Fundamental specialist skills on EEE

### Class flow

Lecture overview, homework presentation, lecture and check point exam, questionnaires summary, today's summary, questionnaires, today's homework

### Course schedule/Required learning

Course schedule Required learning
Class 1 What is control theory? structure, variations, history and control solutions are presented.
Class 2 System structure and transfer function Laplace transform, static and dynamic system, transfer function of a simple dynamic system.
Class 3 Block diagram and model Block diagram, transformation, block diagram of simple dynamic system.
Class 4 Transient response Impulse response, step response, ramp response, transient responses of basic systems, 1st order lag system, 2nd order lag system, You can learn how to draw step responses.
Class 5 Frequency response and Bode diagram Vector trajectory, integral, derivative, 1st order lag system, 2nd order lag system. How to draw semi-logarithm graph and simple Bode diagram.
Class 6 Frequency response of connected system Series connected system's gain-phase diagram, parallel connected system's vector diagram, feedback system's Nicols diagram, their and close cut off frequency system's Bode diagram.
Class 7 Stability of feedback system characteristic equation, Routh-Hurwitz stability criterion, Nyquist stability criterion, bode plots, and gain and phase margins
Class 8 Steady state characteristics steady-state error, step input, ramp input, acceleration input, step disturbance input
Class 9 Transient responses: step response pole assignment, characteristic frequency, damping factor, phase margin, gain cross over frequency, proportional controller design
Class 10 Controller variations and proportional controller role of each controller, frequency characteristics, proportional, proportional and integral, proportional and derivative, PID controllers. Compensation, effectiveness. Bode diagrams and step responses.
Class 11 How to design PI and PD controllers? bode plots and step responses
Class 12 How to design PID controller? PID controller, frequency characteristics, derivative, proportional, integral, gain cross over frequency, phase margin, step response.
Class 13 Fundamentals of digital control and program coding analogue controller, z transform, description of PID controller in z domain, C language coding of PID controller.
Class 14 Practical design of PID controller project solution, lecture evaluation.

### Textbook(s)

Miyazaki, et al, System seigyo I IEEJ-Ohm in Japanese

### Reference books, course materials, etc.

To be distributed

### Assessment criteria and methods

simple test, home work, report 50%, final exam 50%

### Related courses

• EEE.C201 ： Electric Circuits I
• EEE.C202 ： Electric Circuits II
• EEE.M211 ： Fourier Transform and Laplace Transform

### Prerequisites (i.e., required knowledge, skills, courses, etc.)

Electrical circuit I, II , Fourier and Laplace transformation are necessary

### Other

"This lecture take internet cloud service Handbook for e-learning and ICT device application, as well as active learning. Quiz, simple exams, home work, questionaries’ will be provided through the cloud service. Please bring internet connection devices . From this year, Matlab and simulink are in site licence of TIT. Homework needs pcs running these software."