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
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.
✔ Applicable | How instructors' work experience benefits the course |
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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. |
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
✔ Specialist skills | Intercultural skills | Communication skills | Critical thinking skills | Practical and/or problem-solving skills |
✔ ・Fundamental specialist skills on EEE |
Lecture overview, homework presentation, lecture and check point exam, questionnaires summary, today's summary, questionnaires, today's homework
Course schedule | Required learning | |
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Class 1 | What is control theory? / System structure and transfer function | Structure, variations, history and control solutions are presented. Laplace transform, static and dynamical system. |
Class 2 | Dynamical system and block diagram | Transfer function of several dynamical systems, block diagram and equivalent transformation. |
Class 3 | 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 4 | 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 5 | 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 6 | Stability of feedback system | Characteristic equation, Routh-Hurwitz stability criterion, Nyquist stability criterion, bode plots, and gain and phase margins. |
Class 7 | Check for understanding | Check understanding of the above contents by exercise. |
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. |
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.
Miyazaki, et al, System seigyo I IEEJ-Ohm in Japanese
To be distributed
simple test, home work, report 50%, final exam 50%
Electrical circuit I, II , Fourier and Laplace transformation are necessary
This lecture take advantage of cloud service T2scholar. Quiz, exam, homework, quiestionary are provided, thus, please bring in a mobile devices iphone or ipad, tablet or pc or later, smart phone or tablet or personal computer. Details are provided in the lecture. From this year, Matlab and simulink are in site licence of TIT. Homework needs pcs running these software.