This preview shows pages 1–2. Sign up to view the full content.
This preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
Unformatted text preview: Question #2. Show and label on this graph the gain and phase margins of the system. Question 5: Suppose the denominator of the transfer function for a physical system T ( s ) can be written as 1 + L ( s ), where L ( s ) is a dierent transfer function. Prove the following: if the polar diagram of L ( j ) passes through the 1 point in the complex plane, then T ( s ) has a pole on the imaginary axis. Hint: the poles of T ( s ) here are the solutions of 1 + L ( s ) = 0. Question 6: Suppose that L ( s ) = 8 ( s/ 10 + 1) 3 Use the results from Question #5 and the Bode diagrams of L ( s ) to show that T ( s ) has a pole on the imaginary axis, and determine the specic location of this pole. Note: this can be easily done by explicit factorization, but to receive credit you must show how the results of Question #5 and the Bode diagrams lead to the desired information....
View Full
Document
 Spring '09
 DR.SANNER

Click to edit the document details