Title Process Identification and PID Control 12.9 MB 426
```                            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 Tuning Rule for a First-Order Plus Time-Delay Model (ITAE-1)
5.6 Integral of the Time-Weighted Absolute Value of the Error Tuning Rule for a Second-Order Plus Time-Delay Model (ITAE-2)
5.7 Optimal Gain Margin Tuning Rule for an Unstable Second-Order Plus Time-Delay Model (OGM-unstable)
5.8 Model Reduction Method for Proportional–Integral–Derivative Controller Tuning
5.9 Consideration of Modeling Errors
5.10 Concluding Remarks
Problems
6 Dynamic Behavior of Closed-Loop Control Systems
6.1 Closed-Loop Transfer Function and Characteristic Equation
6.2 Bode Stability Criterion
6.3 Nyquist Stability Criterion
6.4 Gain Margin and Phase Margin
Problems
7 Enhanced Control Strategies
7.2 Time-Delay Compensators
7.3 Gain Scheduling
7.4 Proportional–Integral–Derivative Control using Internal Feedback Loop
Problems
Part Three: Process Identification
8 Process Identification Methods for Frequency Response Models
8.1 Fourier Series
8.2 Frequency Response Analysis and Autotuning
8.3 Describing Function Analysis
8.4 Fourier Analysis
8.5 Modified Fourier Transform
8.6 Frequency Response Analysis with Integrals
Problems
9 Process Identification Methods for Continuous-Time Differential Equation Models
9.1 Identification Methods Using Integral Transforms
9.2 Prediction Error Identification Method
Problems
10 Process Identification Methods for Discrete-Time Difference Equation Models
10.1 Prediction Models: Autoregressive Exogenous Input Model and Output Error Model
10.2 Prediction Error Identification Method for the Autoregressive Exogenous Input Model
10.3 Prediction Error Identification Method for the Output Error Model
10.4 Concluding Remarks
Problems
11 Model Conversion from Discrete-Time toContinuous-Time Linear Models
11.1 Transfer Function of Discrete-Time Processes
11.2 Frequency Responses of Discrete-Time Processes and Model Conversion
Problems
Part Four: Process Activation
12 Relay Feedback Methods
12.1 Conventional Relay Feedback Methods
12.2 Relay Feedback Method to Reject Static Disturbances
12.3 Relay Feedback Method under Nonlinearity and Static Disturbances
12.4 Relay Feedback Method for a Large Range of Operation
Problems
13 Modifications of Relay Feedback Methods
13.1 Process Activation Method Using Pulse Signals
13.2 Process Activation Method Using Sine Signals
Problems
Appendix: Use of Virtual Control System
A.1 Setup of the Virtual Control System
A.2 Examples
Index
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