spContent=With the help of the course, students could master transfer function, time-frequency domain analysis methods, stability and error analysis and other classical control theory knowledge. Combined with the basic training of the application of classical control theory, students are equipped with the ability of applying the basic concepts and principles to analyze the dynamic problems of control systems and to solve the control problems of mechanical systems.
With the help of the course, students could master transfer function, time-frequency domain analysis methods, stability and error analysis and other classical control theory knowledge. Combined with the basic training of the application of classical control theory, students are equipped with the ability of applying the basic concepts and principles to analyze the dynamic problems of control systems and to solve the control problems of mechanical systems.
—— Instructors
About this course
There are 2 keywords about the name of the course, one is ‘Control Engineering’, the other is ‘Fundamentals’. The combination of two keywords tells us that it is the course about the classic control theory. The main features of the course are focusing on the theories and methods, as well as depending on engineering.
The course consists of 30 units, covering Laplace Transform, differential equation, transfer function, Mason’s gain formula, time response, frequency response, Routh Stability Criterion, steady state error, and so on.
Here are 3 purposes for building the course.No.1 You can learn the professional course ‘Fundamentals of Control Engineering’ by following my Video.No.2 If you do not learn clear or understand some knowledge points in real classes, you can study again or just study the specific knowledge point.No.3 it can assist you in reviewing with the help of my video coursewares before your final exam.
Objectives
(1) Knowledge acquisition Objective: to correctly understand and master the basic concepts and theories related to modeling in the classical control field.
(2) Problem analysis Objective: to master the method of dynamic and systematic problem analysis in the time-frequency domain, and to be able to analyze the dynamic performance of mechanical systems with relevant methods.
(3) Problem solving Objective: To apply the basic theories and methods of classical control theory to solve problems such as correction and error reduction of mechanical engineering systems.
(4) Ideological and political objectives of the course: By combining engineering application cases of control theory, students can understand the relationship between individuals and society, and clarify the responsibilities and missions of individuals as builders and successors of the socialist cause.
Syllabus
Introduction to Fundamentals of Control Engineering
课时目标：Understand How to an automatic control system work. Make clear what is the schematic block diagram of a typical automatic controlsSystem.
1.1 How does an automatic control system work?
1.2 Schematic Block Diagram of a Typical Automatic Control System
Laplace Transform
课时目标：Could make Laplace transforms for typical functions.
2.1 Definition 2.2 Laplace Transforms of Common Functions
Laplace Transforms Properties
课时目标：Mastering Laplace Transforms Properties.
3.1 Multiplication by a Constant
3.2 Superposition
3.3 Differential Theorem
3.4 Integral Theorem
3.5 Initial Value Theorem
3.6 Final Value Theorem
3.7 Shifting Theorem in Time Domain (Delay Theorem)
3.8 Shifting Theorem in Complex Domain
3.9 Partial Fraction Method
Inverse Laplace Transforms
课时目标：Could make Laplace Transforms inversion.
4.1 Definition
4.2 Distinct Poles
4.3 Repeated Poles
4.4 Complex Number Poles
Dynamic Behavior of Translational Mechanical Systems
课时目标：Get the models for translational mechanical systems.
5.1 Concepts of Mathematical Models
5.2 Types of Mathematical Models 5.3 Variables 5.4 Element Laws 5.5 D’Alembert’s Law
5.6 Modeling Translational Mechanical System
Modeling Translational Mechanical System
课时目标：Modeling Translational Mechanical System.
6.1 Example 6.1(a)
6.2 Example 6.1(b)
Modeling the Electrical System
课时目标：Modeling the Electrical System.
7.1 Element Laws
7.2 Interconnection Laws
Definition of Transfer Function
课时目标：Make clear the definition of transfer function.
8.1 Introduction
8.2 Properties of Transfer Function
8.3 Rational Polynomial Form of Transfer Function
8.4 Transfer Function of Elements in Cascade Connection
8.5 Transfer Function of Elements in Parallel Connection
Transfer Function for Typical Links
课时目标：Understand transfer function for typical links.
9.1 Introduction
9.2 Proportional Link
9.3 Integral Link
9.4 Inertial Link
9.5 Differential Link
9.6 Second-order Oscillation Link
Transfer Function Block Diagram
课时目标：Mastering the terminologies of transfer function block diagram
10.1 Summing Point and Tie Point
10.2 Terminologies
10.3 Simplification of Block Diagram
Plot Transfer Function Block Diagram
课时目标：Could plot transfer function block diagram.
11.1 Plotting Steps
11.2 Plot Transfer Function Block Diagram for the example
Signal Flow Diagram
课时目标：Could get transfer function with the help of the Mason’s Gain Formula.
12.1 Introduction to Signal Flow Diagram
12.2 Draw Signal Flow Diagram
12.3 Mason’s Gain Formula
Time Response of First Order System
课时目标：Understand the definition of time response of first order system.
13.1 Introduction
13.2 Classical 1st Order Systems
13.3 Time Response for Different Input Signals
Time Response of Second Order System
课时目标：Mastering time response of second order system for step input signal.
14.1 Classical 2nd Order System
14.2 Time Response for Step Input Signal
Performance Specifications of First Order System
课时目标：Mastering performance specifications of first order system.
15.1 Time Constant
15.2 Rise Time
15.3 Settling Time
Performance Specifications of Second Order System
课时目标：Mastering performance specifications of second order system.
16.1 Rise Time
16.2 Peak Time
16.3 Percentage Overshoot
16.4 Settling Time
The Concept of Frequency Response
课时目标：Understand the definitions of frequency characteristic.
17.1 Frequency Characteristic
17.2 Amplitude & Phase According to TF
17.3 Frequency Response
Nyquist Diagram
课时目标：Mastering the Nyquist Diagrams for typical links.
18.1 What is Nyquist Diagram
18.2 Nyquist Diagram of Proportional Link
18.3 Nyquist Diagram of Integral Link
18.4 Nyquist Diagram of Ideal Differential Link
18.5 Nyquist Diagram of Inertial Link
18.6 Nyquist Diagram of 1st order Differential Link
18.7 Nyquist Diagram of 2nd order Oscillation Link
18.8 Nyquist Diagram of 2nd order Differential Link
Bode Diagram
课时目标：Mastering the characteristics of the Bode Diagram.
19.1 What is Bode Diagram
19.2 Coordinate Dividing of Bode Diagram
19.3 Slope of the Asymptote
19.4 Asymptote of L(ω)
19.5 Break Frequency T
19.6 Amplitude Crossing Frequency ωC
19.7 Phase Crossing Frequency ωg
Bode Diagrams for Typical Links
课时目标：Mastering Bode diagrams for typical links.
20.1 Bode Diagram of Proportional Link
20.2 Bode Diagram of Ideal Differential Link
20.3 Bode Diagram of Ideal Inertial Link
20.4 Bode Diagram of First-order Differential Link
20.5 Bode Diagram of Second-order Oscillation Link
20.6 Bode Diagram of Second-order Differentia Link
Open Loop Bode Diagram of Control System
课时目标：Could plot the open loop Bode diagrams of control system
21.1 Why do?
21.2 Time constant form of the open loop TF
21.3 L(ω) and φ(ω)
21.4 Steps for plotting open loop Bode diagram
21.5 Example
Minimum Phase System
课时目标：Understand the definition of minimum phase system.
22.1 Definition of the Minimum Phase System
22.2 How to get TF of the Minimum Phase System
Nyquist Stability Criterion
课时目标：Could calculate the Phase Margin γ and Amplitude MarginＫg(dB) .
23.1 Definition of Nyquist Stability Criterion
23.2 Nyquist Stability Criterion for minimum phase system
23.3 Stability Margin
23.4 Nyquist diagram representation for stability margin
23.5 Phase Margin γ and Amplitude MarginＫg(dB)
System Stability
课时目标：Understand the meaning of the System Stability.
24.1 Significance of System Stability
24.2 Mathematical Description for System Stability
24.3 Sufficient and Necessary Conditions for System Stability
Routh Stability Criterion
课时目标：Mastering the definition of Sufficient and Necessary Conditions for Routh Stability Criterion.
25.1 Preconditions for Routh Stability Criterion
25.2 Sufficient and Necessary Conditions for Routh Stability Criterion
25.3 Stability Margin of the Closed Loop System
Special Cases for Routh Stability Criterion
课时目标：Understand the Special Cases for Routh Stability Criterion.
26.1 First-column element in some row is zero but others in the same row are not all zero
26.2 Whole elements in some row are all zero
Error Terminologies
课时目标：Mastering the Error Terminologies.
27.1 Deviation E(s)
27.2 Steady state deviation ess(t)
27.3 Desired output value Yd (s)
27.4 Error ε(s)
27.5 Steady state error εss(t)
Static error coefficients
课时目标：Understand the definition of the Static error coefficients.
28.1 Two Factors Influencing Steady State Error
28.2 Static Error Coefficients and Steady State Error
Steady State Error Calculating
课时目标：Could calculate the Error Introduced by Two Input Signals.
29.1 Deviations Introduced by Two Input Signals
29.2 Error Introduced by Two Input Signals
Methods for Reducing Steady State Error
课时目标：Mastering the Methods for Reducing Steady State Error.
30.1 Increasing the Open Loop Gain
30.2 Increasing the System Type
30.3 Feedforward Control
30.4 Compound Control
展开全部
Prerequisites
References
1. 控制工程基础，孙晶等主编，科学出版社，2021年11月第1版。
2. Fundamentals of Control Engineering，孙晶主编，科学出版社，2017年1月第1版。
3. 控制工程基础，孔祥东等主编，机械工业出版社，2019年1月第4版。
4. 控制工程基础，董景新等主编，清华大学出版社，2015年1月第4版。
5. 自动控制原理，胡寿松主编，科学出版社，2019年2月第7版。
6. 黄安怡. Fundamentals of Mechanical Control Engineering. 第一版. 武汉理工大学出版社.
7. C. W. Solomon To. Introduction to Dynamics and Control in Mechanical Engineering Systems. John Wiley & Sons, Ltd., 2016, 1st Edition.
8. Charles M. C. Dean K. F. Jonathan C. N. Modeling and Analysis of Dynamic Systems, John Wiley & Sons, INC., 2002, 3rd Edition.
