Neil A. Duffie

Control Theory Applications for Dynamic Production Systems (eBook, ePUB)

Time and Frequency Methods for Analysis and Design

• Format: ePub

Produktbeschreibung

Control Theory Applications for Dynamic Production Systems Apply the fundamental tools of linear control theory to model, analyze, design, and understand the behavior of dynamic production systems In Control Theory Applications for Dynamic Production Systems: Time and Frequency Methods for Analysis and Design, distinguished manufacturing engineer Dr. Neil A. Duffie delivers a comprehensive explanation of how core concepts of control theorical analysis and design can be applied to production systems. Time-based perspectives on response to turbulence are augmented by frequency-based perspectives, fostering new understanding and guiding design of decision-making. The time delays intrinsic to decision making and decision implementation in production systems are addressed throughout. Readers will discover methods for calculating time response and frequency response, modeling using transfer functions, assessing stability, and design of decision making for closed-loop production systems. The author has included real-world examples emphasizing the different components of production systems and illustrating how practical results can be quickly obtained using straightforward Matlab programs (which can easily be translated to other platforms). Avoiding unnecessary theoretical jargon, this book fosters an in-depth understanding of key tools of control system engineering. It offers: * A thorough introduction to core control theoretical concepts of analysis and design of dynamic production systems * Comprehensive and integrated explorations of continuous-time and discrete-time models of production systems, employing transfer functions and block diagrams * Practical discussions of time response, frequency response, fundamental dynamic behavior, closed-loop production systems, and the design of decision-making * In-depth examples of the analysis and design of complex dynamic behavior requiring approaches such as matrices of transfer functions and modeling of multiple sampling rates Perfect for production, manufacturing, industrial, and control system engineers, Control Theory Applications for Dynamic Production Systems will also earn a place in the libraries of students taking advanced courses on industrial system digitalization, dynamics, and design.

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Produktdetails

• Verlag: Jossey-Bass
• Seitenzahl: 320
• Erscheinungstermin: 23. Mai 2022
• Englisch
• ISBN-13: 9781119862857
• Artikelnr.: 64096816

Autorenporträt

Neil A. Duffie, PhD, is Professor Emeritus and past Chair of the Department of Mechanical Engineering at the University of Wisconsin-Madison. He is a Past President of SME, recipient of the Frederick W. Taylor Research Medal, and Fellow of ASME, CIRP, and SME. His research is focused on the dynamics of production systems, distributed system control, and manufacturing process automation.

Inhaltsangabe

Preface xi

Acknowledgments xv

1 Introduction 1

1.1 Control System Engineering Software 6

2 Continuous-Time and Discrete-Time Modeling of Production Systems 7

2.1 Continuous-Time Models of Components of Production Systems 9

2.2 Discrete-Time Models of Components of Production Systems 15

2.3 Delay 19

2.4 Model Linearization 22

2.4.1 Linearization Using Taylor Series Expansion - One Independent Variable 23

2.4.2 Linearization Using Taylor Series Expansion - Multiple Independent Variables 25

2.4.3 Piecewise Approximation 26

2.5 Summary 27

3 Transfer Functions and Block Diagrams 29

3.1 Laplace Transform 30

3.2 Properties of the Laplace Transform 33

3.2.1 Laplace Transform of a Function of Time Multiplied by a Constant 33

3.2.2 Laplace Transform of the Sum of Two Functions of Time 33

3.2.3 Laplace Transform of the First Derivative of a Function of Time 33

3.2.4 Laplace Transform of Higher Derivatives of a Function of Time Function 34

3.2.5 Laplace Transform of Function with Time Delay 34

3.3 Continuous-Time Transfer Functions 35

3.4 Z Transform 41

3.5 Properties of the Z Transform 44

3.5.1 Z Transform of a Sequence Multiplied by a Constant 45

3.5.2 Z Transform of the Sum of Two Sequences 45

3.5.3 Z Transform of Time Delay dT 45

3.5.4 Z Transform of a Difference Equation 46

3.6 Discrete-Time Transfer Functions 46

3.7 Block Diagrams 50

3.8 Transfer Function Algebra 53

3.8.1 Series Relationships 53

3.8.2 Parallel Relationships 56

3.8.3 Closed-Loop Relationships 58

3.8.4 Transfer Functions of Production Systems with Multiple Inputs and Outputs 64

3.8.5 Matrices of Transfer Functions 69

3.8.6 Factors of Transfer Function Numerator and Denominator 73

3.8.7 Canceling Common Factors in a Transfer Function 74

3.8.8 Padé Approximation of Continuous-Time Delay 78

3.8.9 Absorption of Discrete Time Delay 79

3.9 Production Systems with Continuous-Time and Discrete-Time Components 81

3.9.1 Transfer Function of a Zero-Order Hold (ZOH) 81

3.9.2 Discrete-Time Transfer Function Representing Continuous-Time Components Preceded by a Hold and Followed by a Sampler 82

3.10 Potential Problems in Numerical Computations Using Transfer Functions 90

3.11 Summary 93

4 Fundamental Dynamic Characteristics and Time Response 95

4.1 Obtaining Fundamental Dynamic Characteristics from Transfer Functions 96

4.1.1 Characteristic Equation 96

4.1.2 Fundamental Continuous-Time Dynamic Characteristics 97

4.1.3 Continuous-Time Stability Criterion 100

4.1.4 Fundamental Discrete-Time Dynamic Characteristics 107

4.1.5 Discrete-Time Stability Criterion 111

4.2 Characteristics of Time Response 116

4.2.1 Calculation of Time Response 117

4.2.2 Step Response Characteristics 121

4.3 Summary 127

5 Frequency Response 129

5.1 Frequency Response of Continuous-Time Systems 129

5.1.1 Frequency Response of Integrating Continuous-Time Production Systems or Components 132

5.1.2 Frequency Response of 1st-order Continuous-Time Production Systems or Components 136

5.1.3 Frequency Response of 2nd-order Continuous-Time Production Systems or Components 140

5.1.4 Frequency Response of Delay in Continuous-Time Production Systems or Components 145

5.2 Frequency Response of Discrete-Time Systems 148