Page 8 - Practical Control Engineering a Guide for Engineers, Managers, and Practitioners

Yiii Contents

3-2-1 The Continuous Tune Domain Model 39
3-2-2 Solution of the Continuous Tune
Domain Model 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 42
3-2-3 The First-Order Model and
Proportional Control 0 0 0 0 0 0 0 0 0 0 0 0 0 44
3-2-4 The First-Order Model and
Proportional-Integral Control 0 0 0 0 0 0 48
3-3 The Laplace Transform 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 57
3-3-1 The Transfer Function and Block
Diagram Algebra 00 00 00 00 00 00 00 00 0 59
3-3-2 Applying the New Tool to the
First-Order Model 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 60
3-3-3 The Laplace Transform of
Derivatives 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 61
3-3-4 Applying the Laplace Transform
to the Case with Proportional plus
Integral Control 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 62
3-3-5 More Block Diagram Algebra and Some
Useful Transfer Functions 0 0 0 0 0 0 0 0 0 65
3-3-6 Zeros and Poles 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 67
3-4 Summary o o o o 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 73
4 A New Domain and More Process Models 75
4-1 Onward to the Frequency Domain 0 0 0 0 0 0 0 0 75
4-1-1 Sinusoidally Disturbing the
First-Order Process o o o o 0 0 0 0 0 0 0 0 0 0 0 75
4-1-2 A Little Mathematical Support
in the Tune Domain 00 00 00 00 00 0 00 0 79
4-1-3 A Little Mathematical Support in
the Laplace Transform Domain 81
4-1-4 A Little Graphical Support 0 0 0 0 0 0 0 0 82
4-1-5 A Graphing Trick 00 00 00 00 00 00 00 00 85
4-2 How Can Sinusoids Help Us with
Understanding Feedback Control? 87
4-3 The First-Order Process with Feedback
Control in the Frequency Domain 0 0 0 0 0 0 0 0 91
4-3-1 What's This about the Integral? 0 0 0 0 94
4-3-2 What about Adding P to the I? 0 0 0 0 0 95
4-3-3 Partial Summary and a Rule of Thumb
Using Phase Margin and Gain
Margin 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 98
4-4 A Pure Dead-Tune Process o o o o 0 0 0 0 0 0 0 0 0 0 0 99
4-4-1 Proportional-Only Control of a
Pure Dead-Tune Process 0 0 0 0 0 0 0 0 0 0 102
4-4-2 Integral-Only Control of a Pure
Dead-Tune Process o o o 0 0 0 0 0 0 0 0 0 0 0 0 103