Course title
Basic Control Engineering

Course description
This course provides basic knowledge on control theory for SISO linear system in frequency domain approach (transfer function). Based on Introduction to Control Engineering, system stability, controller design (PID controller) and related topics are discussed.
Purpose of class
This course aims to introduce the general system stability and its analysis as well as the basic design of controller (PID controller) in a feedback system.
Goals and objectives
  1. Students can explain intuitive understanding of dynamical system, response of 1st/2nd order transfer functions between time domain and frequency domain
  2. Students can determine the stability of SISO linear systems
  3. Students can explain and derive the transfer function from a block diagram
  4. Students can design a PID controller for a given plant
Relationship between 'Goals and Objectives' and 'Course Outcomes'

quiz homework midterm exam final exam Total.
1. 5% 5% 15% 5% 30%
2. 5% 5% 15% 5% 30%
3. 5% 5% 0% 10% 20%
4. 5% 5% 0% 10% 20%
Total. 20% 20% 30% 30% -
Class schedule

Class schedule HW assignments (Including preparation and review of the class.) Amount of Time Required
1. Class guidance and introduction
-description of linear system response
-Laplace transformation
-response of 1st order system
dynamics/statics, Laplace transformation, impulse/step response, time constant, gain 100minutes
Homework 1 100minutes
2. Second order systems
-response of 2nd order system
-oscillatory and non-oscillatory solutions

Discussion on Homework 1 solution
preparation of PPT slides, partial fraction decomposition, Heaviside's theorem 100minutes
Homework 2 100minutes
3. System stability-1:
-1st/2nd order system stability

Discussion on Homework 2 solution
preparation of PPT slides, pole location 100minutes
Homework 3 100minutes
4. System stability-2:
-general case

Discussion on Homework 3 solution
preparation of PPT slides, Hurwitz criterion, determinant of matrics 100minutes
Homework 4 100minutes
5. Block diagram and transfer function

Discussion on Homework 4 solution
preparation of PPT slides, basic elements and interpretation 100minutes
Homework 5 100minutes
6. Frequency characteristics and Bode diagram
-definition and physical interpretation
-gain and phase margin

Discussion on Homework 5 solution
preparation of PPT slides, output for sinusoidal input, rationalization of complex number, decibel value, phase shift 100minutes
Review for midterm exam 100minutes
7. -midterm exam
-solution and comment
preparation for midterm exam 200minutes
review on misunderstanding and pitfall 100minutes
8. Feedback and stability preparation of PPT slides, positive and negative feedback,
general stability in feedback systems
Homework 6 100minutes
9. Frequency technique:
- Bode diagram
-gain margin and phase margin

Discussion on Homework 6 solution
preparation of PPT slides, vector diagram, MATLAB/Simulink 100minutes
Homework 7 100minutes
10. Nyquist criterion:
-mechanism of instability and internal stability

Discussion on Homework 7 solution
preparation of PPT slides, closed loop system, instability 100minutes
Homework 8 100minutes
11. PI and PD controller:
-design strategy

Discussion on Homework 8 solution
preparation of PPT slides, proportional, integral and derivative controllers 100minutes
Homework 9 100minutes
12. PID controller:
-physical interpretation and effects
-design strategy

Discussion on Homework 9 solution
preparation of PPT slides, proportional/integral/derivative control, steady state error, time constant 100minutes
Homework 10 100minutes
13. Design example
-internal model principle
-antiwindup strategy

Discussion on Homework 10 solution
preparation of PPT slides, example of internal model principle 100minutes
Review for final exam 100minutes
14. Final exam
-solution and comment
preparation for final exam 200minutes
review on misunderstanding and pitfall 100minutes
Total. - - 3000minutes
Evaluation method and criteria
quiz 20pts + homework 20pts + exams 60pts = 100 pts (total point)

Students can earn the credits of this course by fulfilling the following requirements:
1) Take both the midterm and final exams
2) Get at least 60% of the total point
3) Submit at least 6 homework

2pts/homework for correct answer and 1pt for partially correct answer.
For exams, 60% or higher evaluation point will be given if students can correctly answer problems at the same level with quiz and homework.
Feedback on exams, assignments, etc.
ways of feedback specific contents about "Other"
Feedback in the class
Textbooks and reference materials
PPT slides, writing on blackboard

“Basic Control Systems Engineering”
Paul H. Lewis, Chang Yang
(1) Students are strongly recommended to the "Introduction on Control Engineering" given by Prof. Ito before taking this course
(2) Students need to have basic understanding on complex plane, differential and integral of elementary functions
Office hours and How to contact professors for questions
  • 13:30-17:00 on Mon.-Wed.
  • student needs appointment
    Contact address: nico[at]
Non-regionally-oriented course
Development of social and professional independence
  • Course that cultivates an ability for utilizing knowledge
  • Course that cultivates a basic self-management skills
  • Course that cultivates a basic problem-solving skills
Active-learning course
More than one class is interactive
Course by professor with work experience
Work experience Work experience and relevance to the course content if applicable
N/A 該当しない
Education related SDGs:the Sustainable Development Goals
Last modified : Sat Mar 16 04:11:28 JST 2024