Process Identification and PID Control

Contents

Preface

Part One Basics of Process Dynamics

1 Mathematical Representations of Linear Processes

1.1 Introduction to Process Control and Identification

1.2 Properties of Linear Processes

1.3 Laplace Transform

1.4 Transfer Function and State-Space Systems

Problems

2 Simulations

2.1 Simulating Processes Composed of Differential Equations

2.2 Simulating Processes Including Time Delay

2.3 Simulating Closed-Loop Control Systems

2.4 Useful Numerical Analysis Methods

Problems

3 Dynamic Behavior of Linear Processes

3.1 Low-Order Plus Time-Delay Processes

3.2 Process Reaction Curve Method

3.3 Poles and Zeroes

3.4 Block Diagram

3.5 Frequency Responses

Problems

Part Two Process Control

4 Proportional-Integral-Derivative Control

4.1 Structure of Proportional-Integral-Derivative Controllers and Implementation in Computers/Microprocessors

4.2 Roles of Three Parts of Proportional-Integral-Derivative Controllers

4.3 Integral Windup

4.4 Commercial Proportional-Integral-Derivative Controllers

Problems

5 Proportional-Integral-Derivative Controller Tuning

5.1 Trial-and-Error Tuning

5.2 Simple Process Identification Methods

5.3 Ziegler-Nichols Tuning Rule

5.4 Internal Model Control Tuning Rule

5.5 Integral of the Time-Weighted Absolute Value of the Error Tunning Rule for a First-Order Plus Time-Delay Model (ITAE-1)

5.6 Integral of the Time-Weighted Absolute Value of the Error Tunning Rule for a Second-Order Plus Time-Delay Model (ITAE-2)

5.7 Optimal Gain Margin Tuning Rule for an Unstable Second-Order ...