Difference between revisions of "Transfer Functions"
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|Chapter contents=# The Loop Transfer Function | |Chapter contents=# The Loop Transfer Function | ||
# The Nyquist Criterion | # The Nyquist Criterion | ||
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# Stability Margins | # Stability Margins | ||
# Bode's Relations and Minimum Phase Systems | # Bode's Relations and Minimum Phase Systems | ||
# Generalized Notions of Gain and Phase | # Generalized Notions of Gain and Phase | ||
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# Further Reading | # Further Reading | ||
:: Exercises | :: Exercises | ||
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Revision as of 16:30, 24 November 2024
| Prev: Output Feedback | Chapter 9 - Transfer Functions | Next: Frequency Domain Analysis |
This chapter introduces the concept of the transfer function, which is a com- pact description of the input/output relation for a linear time-invariant system. We show how to obtain transfer functions analytically and experimentally. Combining transfer functions with block diagrams gives a powerful algebraic method to analyze linear systems with many blocks. The transfer function allows new interpretations of system dynamics. We also introduce the Bode plot, a powerful graphical rep- resentation of the transfer function that was introduced by Bode to analyze and design feedback amplifiers.
Contents
- The Loop Transfer Function
- The Nyquist Criterion
- Stability Margins
- Bode's Relations and Minimum Phase Systems
- Generalized Notions of Gain and Phase
- Further Reading
- Exercises