### 2016　Control theory

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Undergraduate major in Electrical and Electronic Engineering
Instructor(s)
Chiba Akira  Nishikata Atsuhiro
Class Format
Lecture
Media-enhanced courses
Day/Period(Room No.)
Tue5-6(S221)  Fri5-6(S221)
Group
-
Course number
EEE.C261
Credits
2
2016
Offered quarter
4Q
Syllabus updated
2017/1/11
Lecture notes updated
2017/1/10
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

Basic understanding in classical control theory is provided so that one can have the ability to design a controller. This course provides fundamentals in control theory along with automatic control theory that provides the concept of modern control theory.

### 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

### 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 Transfer function in frequency domain vector trajectory, integral, derivative, 1st order lag system, 2nd order lag system.
Class 6 Frequency response and bode diagram How can we draw logarithm graph? Integral and derivative element, 1st order lag system, 2nd order lag system, series connected transfer functions, parallel connected transfer functions, close cut off frequency system.
Class 7 Stability of feedback system characteristic equation, Routh-Hurwitz stability criterion, Nyquist stability criterion, bode plots, and gain and phase margins
Class 8 Summary of lectures and check on achievement of learning outcomes how individual lecture topics are connected.　Individual achievement confirmation.
Class 9 Steady state characteristics steady-state error, step input, ramp input, acceleration input, step disturbance input
Class 10 Transient responses: step response pole assignment, characteristic frequency, damping factor, phase margin, gain cross over frequency, proportional controller design
Class 11 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 12 How to design PI and PD controllers? bode plots and step responses
Class 13 How to design PID controller? step responses, realization of controller, analogue circuits.
Class 14 Fundamentals of digital control and program coding z transform, description of PID controller in z domain, C language coding of PID controller.
Class 15 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

projects 1/3, half summary 1/3 , exam 1/3

### 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 below;
・iOS 7.0 and higher, Phone, iPad, ipod
・Windows 8.1and higher Windows tablet or PC
・Android 4.0and higher smartphone and tablet
If these are not possible, PC with Flash Player10.2 and later
(the supported version is subjected to change)
. From this year, Matlab and simulink are in site licence of TIT. Homework needs pcs running these software."