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Control Theory Applications for Dynamic Production Systems: Time and Frequency Methods for Analysis and Design

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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.

Author(s): Neil A. Duffie
Publisher: Wiley
Year: 2022

Language: English
Pages: 321
City: Hoboken

Control Theory Applications for Dynamic Production Systems
Contents
Preface
Acknowledgments
1 Introduction
1.1 Control System Engineering Software
2 Continuous-Time and Discrete-Time Modeling of Production Systems
2.1 Continuous-Time Models of Components of Production Systems
2.2 Discrete-Time Models of Components of Production Systems
2.3 Delay
2.4 Model Linearization
2.4.1 Linearization Using Taylor Series Expansion – One Independent Variable
2.4.2 Linearization Using Taylor Series Expansion – Multiple Independent Variables
2.4.3 Piecewise Approximation
2.5 Summary
3 Transfer Functions and Block Diagrams
3.1 Laplace Transform
3.2 Properties of the Laplace Transform
3.2.1 Laplace Transform of a Function of Time Multiplied by a Constant
3.2.2 Laplace Transform of the Sum of Two Functions of Time
3.2.3 Laplace Transform of the First Derivative of a Function of Time
3.2.4 Laplace Transform of Higher Derivatives of a Function of Time Function
3.2.5 Laplace Transform of Function with Time Delay
3.3 Continuous-Time Transfer Functions
3.4 Z Transform
3.5 Properties of the Z Transform
3.5.1 Z Transform of a Sequence Multiplied by a Constant
3.5.2 Z Transform of the Sum of Two Sequences
3.5.3 Z Transform of Time Delay
3.5.4 Z Transform of a Difference Equation
3.6 Discrete-Time Transfer Functions
3.7 Block Diagrams
3.8 Transfer Function Algebra
3.8.1 Series Relationships
3.8.2 Parallel Relationships
3.8.3 Closed-Loop Relationships
3.8.4 Transfer Functions of Production Systems with Multiple
Inputs and Outputs
3.8.5 Matrices of Transfer Functions
3.8.6 Factors of Transfer Function Numerator and Denominator
3.8.7 Canceling Common Factors in a Transfer Function
3.8.8 Padé Approximation of Continuous-Time Delay
3.8.9 Absorption of Discrete Time Delay
3.9 Production Systems with Continuous-Time and Discrete-Time Components
3.9.1 Transfer Function of a Zero-Order Hold (ZOH)
3.9.2 Discrete-Time Transfer Function Representing Continuous-Time Components Preceded by a Hold and Followed by a Sampler
3.10 Potential Problems in Numerical Computations Using Transfer Functions
3.11 Summary
4 Fundamental Dynamic Characteristics and Time Response
4.1 Obtaining Fundamental Dynamic Characteristics from Transfer Functions
4.1.1 Characteristic Equation
4.1.2 Fundamental Continuous-Time Dynamic Characteristics
4.1.3 Continuous-Time Stability Criterion
4.1.4 Fundamental Discrete-Time Dynamic Characteristics
4.1.5 Discrete-Time Stability Criterion
4.2 Characteristics of Time Response
4.2.1 Calculation of Time Response
4.2.2 Step Response Characteristics
4.3 Summary
5 Frequency Response
5.1 Frequency Response of Continuous-Time Systems
5.1.1 Frequency Response of Integrating Continuous-Time Production Systems or Components
5.1.2 Frequency Response of 1st-order Continuous-Time Production Systems or Components
5.1.3 Frequency Response of 2nd-order Continuous-Time Production Systems or Components
5.1.4 Frequency Response of Delay in Continuous-Time Production Systems or Components
5.2 Frequency Response of Discrete-Time Systems
5.2.1 Frequency Response of Discrete-Time Integrating Production Systems or Components
5.2.2 Frequency Response of Discrete-Time 1st-Order Production Systems or Components
5.2.3 Aliasing Errors
5.3 Frequency Response Characteristics
5.3.1 Zero-Frequency Magnitude (DC Gain) and Bandwidth
5.3.2 Magnitude (Gain) Margin and Phase Margin
5.4 Summary
6 Design of Decision-Making for Closed-Loop Production Systems
6.1 Basic Types of Continuous-Time Control
6.1.1 Continuous-Time Proportional Control
6.1.2 Continuous-Time Proportional Plus Derivative Control
6.1.3 Continuous-Time Integral Control
6.1.4 Continuous-Time Proportional Plus Integral Control
6.2 Basic Types of Discrete-Time Control
6.2.1 Discrete-Time Proportional Control
6.2.2 Discrete-Time Proportional Plus Derivative Control
6.2.3 Discrete-Time Integral Control
6.2.4 Discrete-Time Proportional Plus Integral Control
6.3 Control Design Using Time Response
6.4 Direct Design of Decision-Making
6.4.1 Model Simplification by Eliminating Small Time Constants and Delays
6.5 Design Using Frequency Response
6.5.1 Using the Frequency Response Guidelines to Design Decision-Making
6.6 Closed-Loop Decision-Making Topologies
6.6.1 PID Control
6.6.2 Decision-Making Components in the Feedback Path
6.6.3 Cascade Control
6.6.4 Feedforward Control
6.6.5 Circumventing Time Delay Using a Smith Predictor Topology
6.7 Sensitivity to Parameter Variations
6.8 Summary
7 Application Examples
7.1 Potential Impact of Digitalization on Improving Recovery Time in Replanning by Reducing Delays
7.2 Adjustment of Steel Coil Deliveries in a Production Network with Inventory Information Sharing
7.3 Effect of Order Flow Information Sharing on the Dynamic Behavior of a Production Network
7.4 Adjustment of Cross-Trained and Permanent Worker Capacity
7.5 Closed-Loop, Multi-Rate Production System with Different Adjustment Periods for WIP and Backlog Regulation
7.6 Summary
References
Bibliography
Index
EULA