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.
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.
- Students can explain intuitive understanding of dynamical system, response of 1st/2nd order transfer functions between time domain and frequency domain
- Students can determine the stability of SISO linear systems
- Students can explain and derive the transfer function from a block diagram
- Students can design a PID controller for a given plant
| 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 |
100minutes |
| 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: -characteristic -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 |
| 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% | - |
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
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
| ways of feedback | specific contents about "Other" |
|---|---|
| Feedback in the class |
PPT slides, writing on blackboard
Reference:
“Basic Control Systems Engineering”
Paul H. Lewis, Chang Yang
Pearson
Reference:
“Basic Control Systems Engineering”
Paul H. Lewis, Chang Yang
Pearson
(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
(2) Students need to have basic understanding on complex plane, differential and integral of elementary functions
- 13:30-17:00 on Mon.-Wed.
- student needs appointment
Contact address: nico[at]shibaura-it.ac.jp
- Course that cultivates an ability for utilizing knowledge
- Course that cultivates a basic self-management skills
- Course that cultivates a basic problem-solving skills
| Work experience | Work experience and relevance to the course content if applicable |
|---|---|
| N/A | 該当しない |
- 4.QUALITY EDUCATION
- 9.INDUSTRY, INNOVATION AND INFRASTRUCTURE
Last modified : Sat Sep 09 07:31:44 JST 2023