13 | 2nd-Order Systems
By the end of this section, you should be able to
Put 2nd-order systems into standard form
Identify defining parameters of system
Classify stability of system in TF or SS form
Sketch response of system due to step input
Modify sketch when extra poles or zeros are added
Introduction
Introduction
10% – 20% Rise Time
Peak Time
Maximum Overshoot
1% Settling Time
Example 1: Sketching the Response
Example 1: Sketching the Response
Refining the Sketch
Refining the Sketch
Example 2: Sketching with More Accuracy
Example 2: Sketching with More Accuracy
State Space and 2nd-Order Response
State Space and 2nd-Order Response
Example 3: Analyzing Systems in SS and TF Form
Example 3: Analyzing Systems in SS and TF Form
Extra Poles and Zeroes
Extra Poles and Zeroes
Example
Example
Lecture Code
Lecture Code