Frequency Domain Analysis - Revision history

Murray: Undo revision 1322 by Murray (talk)

2024-11-24T16:36:49Z

Undo revision 1322 by Murray (talk)

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Created page with "{{Chapter |Chapter number=10 |Previous chapter=Transfer Functions |Next chapter=PID Control }}"

New page

{{Chapter
|Chapter number=10
|Previous chapter=Transfer Functions
|Next chapter=PID Control
}}

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 |Chapter 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
 }}

@@ Line 8: / Line 8: @@
 |Chapter 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
 }}

@@ Line 4: / Line 4: @@
 |Previous chapter=Transfer Functions
 |Next chapter=PID Control
-|First edition URL=
+|First edition URL=https://www.cds.caltech.edu/~murray/amwiki/index.php?title=Frequency_Domain_Analysis#Frequently_Asked_Questions
 |Chapter summary=In this chapter we study how the stability and robustness of closed loop systems can be determined by investigating how sinusoidal signals of different frequencies propagate around the feedback loop. This technique allows us to reason about the closed loop behavior of a system through the frequency domain properties of the open loop transfer function. The Nyquist stability theorem is a key result that provides a way to analyze stability and introduce measures of degrees of stability.
 |Chapter contents=# The Loop Transfer Function

@@ Line 4: / Line 4: @@
 |Previous chapter=Transfer Functions
 |Next chapter=PID Control
 |Chapter summary=In this chapter we study how the stability and robustness of closed loop systems can be determined by investigating how sinusoidal signals of different frequencies propagate around the feedback loop. This technique allows us to reason about the closed loop behavior of a system through the frequency domain properties of the open loop transfer function. The Nyquist stability theorem is a key result that provides a way to analyze stability and introduce measures of degrees of stability.
 |Chapter contents=# The Loop Transfer Function

@@ Line 3: / Line 3: @@
 |Previous chapter=Transfer Functions
 |Next chapter=PID Control
 |Chapter contents=# The Loop Transfer Function
 # The Nyquist Criterion

@@ Line 1: / Line 1: @@
 {{Chapter
 |Chapter number=10
 |Previous chapter=Transfer Functions
 |Next chapter=PID Control

@@ Line 3: / Line 3: @@
 |Previous chapter=Transfer Functions
 |Next chapter=PID Control
-|Chapter contents=# Basic Control Functions
+|Chapter contents=# The Loop Transfer Function
-# Simple Controllers for Complex Systems
+# The Nyquist Criterion
-# PID Tuning
+#* The Nyquist Plot
-#* Ziegler--Nichols' Tuning
+#* The General Nyquist Criterion
-#* Tuning Based on the FOTD Model
+#* Conditional Stability
-#* Relay Feedback
+# Stability Margins
-# Integral Windup
+# Bode's Relations and Minimum Phase Systems
-#* Avoiding Windup
+# Generalized Notions of Gain and Phase
-#* Manual Control and Tracking
+#* System Gain and Passivity
-#* Anti-Windup for General Controllers
+#* Extensions of the Nyquist Criterion
-# Implementation
+#* Describing Functions
 # Further Reading
 :: Exercises
 }}