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Short Desciption:
The PID Control Algorithm
How it works, how to tune it, and
how to use it
2nd Edition
version 2.2
John A. Shaw
Process Control Solutions
January 31, 2006
Summary:
Table of Contents
Chapter 1 Introduction.1
1.1 The Control Loop2
1.2 Role of the control algorithm.3
1.3 Auto/Manual .3
Chapter 2 The PID algorithm.5
2.1 Key concepts .5
2.2 Action .5
2.3 The PID responses.5
2.4 Proportional.6
2.5 Proportional—Output vs. Measurement.7
2.6 Proportional—Offset .7
2.7 Proportional—Eliminating offset with manual reset.8
2.8 Adding automatic reset 9
2.9 integral mode (Reset).10
2.10 Calculation of repeat time11
2.11 Derivative12
2.12 Complete PID response .14
2.13 Response combinations .14
Chapter 3 Implementation Details of the PID Equation15
3.1 Series and Parallel Integral and Derivative.15
3.2 Gain on Process Rather Than Error16
3.3 Derivative on Process Rather Than Error.16
3.4 Derivative Filter 16
3.5 Computer code to implement the PID algorithm16
Chapter 4 Advanced Features of the PID algorithm.22
4.1 Reset windup.22
4.2 External feedback 23
4.3 Set point Tracking .23
Chapter 5 Process responses 25
5.1 Steady State Response .25
5.2 Process dynamics 29
5.3 Measurement of Process dynamics 33
5.4 Loads and Disturbances .35
Chapter 6 Loop tuning.36
6.1 Tuning Criteria or “How do we know when its tuned”36
6.2 Mathematical criteria—minimization of index.37
6.3 Ziegler Nichols Tuning Methods .38
6.4 Cohen-Coon 43
6.5 Lopez IAE-ISE43
6.6 Controllability of processes .43
6.7 Flow loops.44
Chapter 7 Multiple Variable Strategies 46
Chapter 8 Cascade.47
8.1 Basics47
8.2 Cascade structure and terminology 49
8.3 Guideline for use of cascade 49
8.4 Cascade Implementation Issues .50
8.5 Use of secondary variable as external feedback .53
8.6 Tuning Cascade Loops 54
Chapter 9 Ratio .55
9.1 Basics55
9.2 Mode Change 56
9.3 Ratio manipulated by another control loop.56
9.4 Combustion air/fuel ratio .57
Chapter 10 Override 59
10.1 Example of Override Control.59
10.2 Reset Windup 60
10.3 Combustion Cross Limiting.61
Chapter 11 Feedforward 63
Chapter 12 Bibliography64
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"The PID Control Algorithm"
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