Control Theory Applications for Dynamic Production Systems. Neil A. Duffie

      

Control Theory Applications for Dynamic Production Systems

      Time and Frequency Methods for Analysis and Design

       Neil A. DuffieUniversity of WisconsinMadison, Wisconsin

This edition first published 2022

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      Hardback ISBN: 9781119862833; ePub ISBN: 9781119862857; ePDF ISBN: 9781119862840; Obook ISBN: 9781119862864

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To Hans-Peter Wiendahl (1938–2019)

Contents

      1  Cover

      2  Title page

      3  Copyright

      4  Dedication

      5  Preface

      6  Acknowledgments

      7 1 Introduction1.1 Control System Engineering Software

      8 2 Continuous-Time and Discrete-Time Modeling of Production Systems2.1 Continuous-Time Models of Components of Production Systems2.2 Discrete-Time Models of Components of Production Systems2.3 Delay2.4 Model Linearization2.4.1 Linearization Using Taylor Series Expansion – One Independent Variable2.4.2 Linearization Using Taylor Series Expansion – Multiple Independent Variables2.4.3 Piecewise Approximation2.5 Summary

      9 3 Transfer Functions and Block Diagrams3.1 Laplace Transform3.2 Properties of the Laplace Transform3.2.1 Laplace Transform of a Function of Time Multiplied by a Constant3.2.2 Laplace Transform of the Sum of Two Functions of Time3.2.3 Laplace Transform of the First Derivative of a Function of Time3.2.4 Laplace Transform of Higher Derivatives of a Function of Time Function3.2.5 Laplace Transform of Function with Time Delay3.3 Continuous-Time Transfer Functions3.4 Z Transform3.5 Properties of the Z Transform3.5.1 Z Transform of a Sequence Multiplied by a Constant3.5.2 Z Transform of the Sum of Two Sequences3.5.3 Z Transform of Time Delay dT3.5.4 Z Transform of a Difference Equation3.6 Discrete-Time Transfer Functions3.7 Block Diagrams3.8 Transfer Function Algebra3.8.1 Series Relationships3.8.2 Parallel Relationships3.8.3 Closed-Loop Relationships3.8.4 Transfer Functions of Production Systems with Multiple Inputs and Outputs3.8.5 Matrices of Transfer Functions3.8.6 Factors of Transfer Function Numerator and Denominator3.8.7 Canceling Common Factors in a Transfer Function3.8.8 Padé Approximation of Continuous-Time Delay3.8.9 Absorption of Discrete Time Delay3.9 Production Systems with Continuous-Time and Discrete-Time Components3.9.1 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 Sampler3.10 Potential Problems in Numerical Computations Using Transfer Functions3.11 Summary

      10 4 Fundamental Dynamic Characteristics and Time Response4.1 Obtaining Fundamental Dynamic Characteristics from Transfer Functions4.1.1 Characteristic Equation4.1.2 Fundamental Continuous-Time Dynamic Characteristics4.1.3 Continuous-Time Stability Criterion4.1.4 Fundamental Discrete-Time Dynamic Characteristics4.1.5 Discrete-Time Stability Criterion4.2 Characteristics of Time Response4.2.1 Calculation of Time Response4.2.2 Step Response Characteristics4.3 Summary

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