Principles of Automatic Control
Level:
Undergraduate
Instructors:
Prof. John Deyst
Prof. Karen Willcox
Prof. Karen Willcox
Course Features
Course Description
The course deals with introduction to design of feedback control systems, properties and advantages of feedback systems, time-domain and frequency-domain performance measures, stability and degree of stability. It also covers root locus method, nyquist criterion, frequency-domain design, and state space methods.
*Some translations represent previous versions of courses
Labs
Writing Lab Reports
Here is a copy of the Results and Conclusions sections from a fairly good lab report (PDF). It's not perfect, but the author does a good job of labelling graphs and tables, referring to them in the text, and writing concise, relevant conclusions.
Notes on writing a lab report (handout from recitation five days after lecture #8) (PDF).Lab Handouts
Lab #1 (PDF)Lab #2 (PDF)
Skills Review
Further information on the Mathematical Knowledge Topics for each 16.06 lecture may be found in the Supplementary Math Notes (PDF), which are organized by 16.06 lecture topics and the associated Mathematical Knowledge Topics.The following list of topics link to the corresponding entry in the table below.
- Course Introduction
- Introduction to Control Systems
- Control System Analysis and Design
- Disturbances and Sensitivity
- Steady-State Errors
- The s-Plane, Poles and Zeroes
- Transient Response Characteristics and System Stability
- Dominant Modes
- Transient Performance and the Effect of Zeroes
- The Effect of Zeroes
- State Space
- State Space Modeling
- More State Space Modeling and Transfer Function Matrices
- Quanser Model and State Transition Matrices
- Solutions of State Space Differential Equations
- Controllability
Lecture Notes
The blank areas found in the lecture notes below are intentional. Students are given the printed notes preceeding each lecture but are expected to fill in blank areas themselves based on the in-class content.Supplements to the notes are available (PDF)
LEC # | TOPICS | LECTURE NOTES | |
---|---|---|---|
Module 1: Control System Analysis | |||
1 | Course Introduction | (PDF) | |
2 | Introduction to Control Systems | (PDF) | |
3 | Control System Analysis and Design | (PDF) | |
4 | Disturbances and Sensitivity | (PDF) | |
5 | Steady-State Errors | (PDF) | |
6 | S-Plane, Poles and Zeroes | (PDF) | |
7 | Transient Response and Stability | (PDF) | |
8 | Dominant Modes | (PDF) | |
9 | Transient Response and Performance | (PDF) | |
10 | Effects of Zeroes | (PDF) | |
Module 2: State-Space Methods | |||
11 | State Space | (PDF) | |
12 | State Space Modeling | (PDF) | |
13 | More State Space Modeling and Transfer Function Matrices | (PDF) | |
14 | Quanser Model and State Transition Matrices | (PDF) | |
15 | Solutions of State Space Differential Equations | (PDF) | |
16 | Controllability | (PDF) | |
17 | Quiz 1 | ||
18 | Controllability Continued | (PDF) | |
19 | State Space Design | (PDF) | |
Module 3: Time Domain System Design | |||
20 | Proportional Control | (PDF) | |
21 | Control System Design (Time Domain) | (PDF) | |
22 | Root Locus Rules | (PDF) | |
23 | Root Locus Examples | (PDF) | |
24 | Root Locus Design | (PDF) | |
25 | Compensator Design | (PDF) | |
Module 4: Frequency Domain System Design | |||
26 | Frequency Response Analysis | (PDF) | |
27 | Polar Plots | (PDF) | |
28 | Principle of the Argument and the Nyquist Stability Criterion | (PDF) | |
29 | Nyquist Examples | See Lec 28 notes | |
30 | More Nyquist Examples | (PDF) | |
31 | Quiz 2 | ||
32 | Gain and Phase Margins | (PDF) | |
33 | The Gain-Phase Plane and Nichols Charts | (PDF) | |
34 | Open and Closed Loop Behavior and the Second Order System Paradigm | (PDF) | |
35 | Bode Diagrams | (PDF) | |
36 | First and Second Order System Bode Diagrams | (PDF) | |
37 | Compensation and Bode Design | (PDF) | |
38 | More Bode Design | ||
39 | Train Lecture | (PDF) |
Sumber: MIT Open Course Ware