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Control Theory

1. Objectives: Introduce the fundamentals of classical and modern control theories for undergraduates in College of Engineering. The graduate students in dynamics and control are welcome if their undergraduate trainning is not in control. 

 
2. Scope: Stability and dynamic analysis, and synthesize control methods in  frequency domain and time domain.  
 
3. Textbooks: 
(0) Oppenheim A.V., Signal and System. (Prerequisite!)
(1) Dorf R.C., Bishop R.H. Modern Control Systems, 11th edition. (Amazon.com.cn)   
(2) 胡寿松, 自动控制原理,西工大、北航、南航三校合编控制专业教材。 
(3) 吴麒,自动控制原理,清华大学自动化系教材。
 
4. Grading policy:
  Attendence                      10% 
  Experiment and Report     30%    
  Midterm                          30% (To examine whether you really understand these fundamentals learned during the experiments)
  Final                               40% (To examine your understanding of lectures give in the latter half semester)
 
5. Syllabus 

 Course Introduction

ControlSystemsareUbiquitous.pdf 

studentguidetocontrol.pdf

Chap 1 (Summary of the course, read it again in the end of the course) 
 Fourier and Laplace transform  fourier.pdf

Chap 2 (Read more references and develop insights of Fourier series, Fourier transform and Laplace transform)

 Frequency domain and time domain model  demo0.rar

Chap 2.1-2.6 (omit: DC motor; Signal flow) ; Chap 3.1-3.3

 Frequency domain performance   

Chaps 4-5 (Example 4.4 can be omitted, or studied using MATLAB)

 Root locus, Bode and Nyquist plots   Non-linearities.pdf

Chaps 6-8 (Go through all design examples. Adopts rlocus in MATLAB)

 Frequency domain control design  Bode’s Sensitivity Integral.pdf Understanding PID controller, particular for the inverse pendulum case, using analysis tools taught in class, such as root locus, bode plot etc.
 State space model  demo1.rar Chap 3 (Conduct 3.9 with MATLAB yourselves)
 State space methods    
 Review    

6. Course report and project

(1) Kalman filter introduction. References: kalman1960.pdf An Introduction to the Kalman Filter.pdf Understanding the Basis of the Kalman Filter Via a Simple and Intuitive Derivation.pdf

(2) 机器人实验,Reference: Lego实验设计(初稿).doc

(3) 倒立摆试验,inverted_pendulum_system_ref1.pdf  自平衡实验.rar  参考论文:Two-wheel robot control.pdf

The errata of the paper was prepared by the stundents (Hu Yishu, Lv Lu, Wang Zikang) taken the class.  Error.pdf

In 2013 course, the best project report (of the MATLAB model) was developed by the group (Hu Yishu, Lv Lu, Wang Zikang). The model is attached here for future students as an example. I expect more works can be done to refine the model further. MatlabModel.zip 

(4) OpenAI, 基于深度学习的控制例子,具体说明、设置、网络训练详见课堂资料。

* From 2020, every student is highly encouraged to move from MATLAB to Scilab or Gym. 


7. Schedule (仅供参考,以课堂为准)

Backup (outdated)

每周四上课,双周二实验(实验安排听TA)

Week/Date Content and Venue  Note
Syllabus

Note1.pdf,

Reading: Chap 1

HWs: E1.2, E1.9, E1.10, P1.21, DP1.6 


Lec 0 

Control0.pdf

Reading: Chap 2 (omit the motor part, in Table 2.5 for example; omit the whole signal-flow graph part, i.e. Sec 2.7)

HWs: 1. Go through Sec 2.9 by using MATLAB; 

2. E2.5, E2.8, E2.21, E2.27, P2.43, CP2.6. 



State space and Laplace (I)

Reading: Chaps 2-3  (omit all parts need signal-flow graph).

HWs: 1. Go through Example 3.2 (omit signal-flow graph);

2. Go through Example 3.4;

3. Go through Sec 3.9 with MATLAB;

4. E3.19, P3.8. 

State space and Laplace (II)

The same as 3. 

Control1.pdf

Deliver HW to TA this Friday. 

Transfer function and modes
Reading: finish reading Chaps 1-3.  

Feedback system characteristics

Reading: Chap 4

Self-test: E4.1-4.10

HWs: 1. P4.2, P4.7, P4.12

Deliver HW to TA this Friday. 


Feedback system performance 

Reading: Chap 5

Self-test: E5.1-5.2, E5.4, E5.5, E5.8-12, E5.17, E5.19



Feedback more and examples  

Control2.pdf

Control3.pdf

Reading: Finish reading Chaps 4-5 together 

HWs: P5.5-P5.7, AP5.1, AP5.4

Deliver HW to TA this Friday. 


Stability

Reading: Chap 6.

Self-test: E6.1-6.4, E6.7, E6.9-6-13, E6.22.

HWs: P6.2, P6.10, P6.12, P6.17-6.18

Deliver HW to TA during the next lab. 

10 
Mid-term exam
考试时间:随堂,8:00-9:50;考试地点:上课教室 (作弊=0分)
11 
Root locus

Rading: Chap 7.

HW: Announced during the class.

Deliver HW to TA during the lab this Friday. 

12 
Frequency response

Reading: Chap 8.

HW: E8.1, 8.5, 8.12-13, P8.6 

13 
Mid-term paper
14  Applications YoYo Control.pdf
15 Mock