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控制工程基础(英文版) 读者对象:本书适用于机械工程和控制工程等领域内的技术人员和工程师
本书主要介拉氏变换、机械平移系统的动态特性分析、电气系统的动态特性分析、控制系统基础、控制系统的时域分析法、控制系统的频域分析法、控制系统的稳定性分析和控制系统的误差分析与计算等内容。
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The publication of this book is motivated by two backgrounds, a major one and a subsidiary one, respectively.
Firstly, let's talk about the major background. In order to improve the international competitive power of China's tertiary education, Ministry of Education of the People's Republic of China released a document, named "Several opinions on strengthening undergraduate teaching works and improving teaching quality of colleges and universities" in the year 2001. The document explicitly points out that foreign language, English in particular,should be applied in general courses and the specialized courses teaching process for undergraduate education. The document also encourages colleges and universities to publish an English version textbook or to introduce an original English textbook, especially the former.
Since 2001, a number of colleges and universities have opened the specialized courses given in English. And most of colleges and universities selected the original English textbook and some colleges and universities just adopted the lecture notes written by teachers. Up till now,few English versions specialized textbook are published, especially about the control engineering.
Next, let's talk something about the subsidiary background. Our university, Dalian University of Technology, always encourage teachers to publish English version textbooks with the distinct specialized characteristic. There are several aspects for this encouragement.Although the original English textbooks are classical, they cannot match the teaching syllabus and teaclung system. Hence the original ones are not suitable for our course and profession construction. Some descriptions in original textbooks, such as signal, figure,equation, case, principle and terminology, are different from those used in relevant courses given in Chinese. The students cannot make a perfect connection with other courses so that they might be puzzled when trying to understand some principles or terminologies,For most courses, the instructors are faculty of the university who have taught this course in Chinese for several semesters. They would feel comfortable and give a nice presentation with the self-written English textbook, at the same time, and they could bring their professional advantages into the classes.
With the motivation of the above backgrounds as well as the experience of auditing two courses about control theory in the USA, the author of this textbook, who is in charge of teaching the same subject in DUT, realized the urgency of releasing the English version textbook herself. Combined with her two-year teaching experiment, the first edition of ‘Fundamentals of Control Engineering' is about to be published.
The main readers of this textbook are the students with the major of mechanical engineering. Based on the main content of the classical control theory, the author has referred to both several original textbooks in English and Chinese version.
Contents
Preface Chapter 1 Introduction 1 1.1 System and System Analysis 1 1.2 Modeling the System 2 1.3 Solving the Model 4 1.4 Principle of Automatic Control Systems 5 1.4.1 Control and Control Systems 5 1.4.2 How Does an Automatic Control System Work? 6 1.5 Structure of Control Systems 8 1.5.1 Schematic Diagram for a Typical Automatic Control System 8 1.5.2 Terminologies 9 1.6 Characteristics of Control Systems 10 1.6.1 Stability 10 1.6.2 Accuracy 10 1.6.3 Dynamic Properties 11 1.6.4 Robustness 12 1.7 Classification of Control Systems (to Broadest Sense) 12 1.7.1 Open Loop Control System 12 1.7.2 Closed Loop Control System 13 1.8 Application of Control Theory in Mechanical Engineering Systems 15 1.9 Brief History of Automatic Control 15 1.10 Organization of Book 17 1.11 Drill Problems 17 Chapter 2 Laplace Transform Solution 19 2.1 Definition 19 2.2 Laplace Transforms of Common Functions 20 2.2.1 Step Function 20 2.2.2 Ramp Function 20 2.2.3 Pulse Function 21 2.2.4 Exponential Function 22 2.2.5 Trigonometric Function 22 2.2.6 Power Function 23 2.2.7 Summary 23 2.3 Laplace Transform Properties 24 2.3.1 Multiplication by a Constant 25 2.3.2 Superposition 25 2.3.3 Differential Theorem 25 2.3.4 Integral Theorem 26 2.3.5 Initial Value Theorem 27 2.3.6 Final Value Theorem 27 2.3.7 Shifting Theorem in Time Domain (Delay Theorem) 28 2.3.8 Shifting Theorem in Complex Domain 28 2.3.9 Partial Fraction Method 28 2.4 Laplace Transform Inversion 30 2.4.1 Distinct Poles 31 2.4.2 Repeated Poles 33 2.4.3 Complex Poles 34 2.5 Drill Problems 36 Chapter 3 Formulation and Dynamic Behavior of Translational Mechanical Systems 37 3.1 Introduction 37 3.1.1 Concepts of Mathematical Models 37 3.1.2 Types or Mathematical Models 37 3.2 Variables 37 3.3 Element Laws 39 3.3.1 Mass 39 3.3.2 Friction 40 3.3.3 Stiffness 42 3.4 Interconnection Laws 43 3.4.1 D’Alembert’s Law 43 3.4.2 The Law of Reaction Forces 44 3.5 Obtaining the System Model 44 3.5.1 Free-Body Diagrams 45 3.5.2 Parallel Combinations 49 3.5.3 Series Combinations 50 3.6 Drill Problems 53 Chapter 4 Formulation and Dynamic Behavior of Electrical Systems 55 4.1 Element Laws 55 4.1.1 Resistor 55 4.1.2 Capacitor 56 4.1.3 Inductor 56 4.2 Interconnection Laws 57 4.2.1 Kirchhoff’s Voltage Law 57 4.2.2 Kirchhoff’s Current Law 58 4.2.3 The Nodal Method of Electrical Network Analysis 58 4.3 Analogue relationships among different systems 59 4.4 Examples 60 4.5 Drill Problems 62 Chapter 5 Fundamentals of Control Systems 63 5.1 Representation of Control Systems 63 5.2 The Transfer Function 63 5.2.1 Definition of the Transfer Function 64 5.2.2 Properties of the Transfer Function 65 5.2.3 The Rational Polynomial Form of a Transfer Function 66 5.2.4 Transfer Function of Elements in Series Connection 67 5.2.5 Transfer Function of Elements in Parallel Connection 68 5.2.6 Remarks 69 5.3 The Transfer Function for Typical Links 70 5.3.1 Proportion Link 70 5.3.2 Integral Link 71 5.3.3 Inertial Link 72 5.3.4 Differential Link 74 5.3.5 Oscillation Link 75 5.4 Function Block Diagrams 76 5.4.1 Introduction 76 5.4.2 Summing Point and Tie Point 76 5.4.3 Terminologies 77 5.4.4 Simplification of the Function Block Diagram 79 5.5 Plot the Function Block Diagrams 88 5.6 Signal Flow Diagrams 92 5.6.1 Introduction to Signal Flow Diagrams 92 5.6.2 Draw the Signal Flow Diagram 92 5.6.3 Mason’s Gain Formula 94 5.7 Drill Problems 96 Chapter 6 Time Response Analysis of Control Systems 99 6.1 Introduction 99 6.2 Time Response from Transfer Function 100 6.2.1 Response of First-Order System 100 6.2.2 Response of Second-Order System 104 6.2.3 Approximate Analysis of High-Order System 110 6.3 Performance Specifications in Time Domain 114 6.3.1 Performance Specifications of First-Order System 114 6.3.2 Performance Specifications of Second-Order System 116 6.4 Drill Problems 121 Chapter 7 Frequency Response Analysis of Control Systems 123 7.1 Concepts 123 7.2 Graphical Descriptions: Nyquist Diagram and Bode Diagram 127 7.2.1 Simple Rules for Plotting Nyquist Diagram 127 7.2.2 The Nyquist Diagrams for Typical Links 128 7.2.3 Simple Rules for Plotting Bode Diagrams 134 7.2.4 The Bode Diagrams for Typical Links 139 7.3 The Open Loop Bode Diagram of Control System 151 7.4 Minimum Phase Systems 155 7.5 Nyquist Stability Criterion 158 7.5.1 The Explanation for Nyquist Stability Criterion 158 7.5.2 Some Tips for Nyquist Stability Criterion 160 7.5.3 Nyquist Stability Criterion for Minimum Phase System 161 7.5.4 Stability Margin 161 7.6 Drill Problems 167 Chapter 8 Stability Analysis of Control Systems 168 8.1 Stability 168 8.2 Conditions for the System Stability 169 8.3 Routh-Hurwitz Stability Criterion 170 8.3.1 The Preconditions for Routh-Hurwitz Stability Criterion 170 8.3.2 Full Condition for Routh-Hurwitz Stability Criterion 171 8.3.3 Special Cases for Routh-Hurwitz Stability Criterion 176 8.4 Drill Problems 181 Chapter 9 Error Analysis and Calculation of Control Systems 182 9.1 Terminologies 183 9.1.1 Deviation 183 9.1.2 Steady-State Deviation 183 9.1.3 Desired Output Value 183 9.1.4 Error 184 9.1.5 Steady-State Error 185 9.2 Static Error Coefficients 186 9.2.1 Two Impact Factors of the Steady-State Error 186 9.2.2 The Static Error Coefficients and the Steady-State Error 186 9.3 Steady-State Error Calculation 191 9.3.1 Steady-State Deviation Calculation 191 9.3.2 Steady-State Error Calculation 193 9.4 Methods for Reducing Steady-State Error 194 9.4.1 Increase Open Loop Gain 195 9.4.2 Increasing System Types 195 9.4.3 Feed Forward Control 196 9.4.4 Compound Control 198 9.5 Drill Problems 199 References 200
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