System Dynamics
System Dynamics
3rd Edition
ISBN: 9780073398068
Author: III William J. Palm
Publisher: MCG
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Chapter 6, Problem 6.10P

The resistance of a telegraph line is R = 10 Ω , and the solenoid inductance is L = 5 H . Assume that when sending a “dash”, a voltage of 12 V is applied while the key is closed for 0.3 s. Obtain the expression for the current i t passing through the solenoid. (See Figure 6.2.15)

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Auto Controls   A union feedback control system has the following open loop transfer function where k>0 is a variable proportional gain   i. for K = 1 , derive the exact magnitude and phase expressions of G(jw).   ii) for K = 1 , identify the gaincross-over frequency (Wgc) [where IG(jo))| 1] and phase cross-overfrequency [where <G(jw) = - 180]. You can use MATLAB command "margin" to obtain there quantities.  iii) Calculate gain margin (in dB) and phase margin (in degrees) ·State whether the closed-loop is stable for K = 1 and briefly justify your answer based on the margin . (Gain marginPhase margin)   iv. what happens to the gain margin and Phase margin when you increase the value of K?you  You can use for loop in MATLAB to check that.Helpful matlab commands : if, bode, margin, rlocus   NO COPIED SOLUTIONS

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