1) from rootlocus fig , Determine damping ratio and ( Wn ) of the closed loop system for K=10. 2) Sketch the approximate graph of the Bode magnitude of the transfer function (use K=100).
1) from rootlocus fig , Determine damping ratio and ( Wn ) of the closed loop system for K=10. 2) Sketch the approximate graph of the Bode magnitude of the transfer function (use K=100).
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Author:Robert L. Boylestad
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1) from rootlocus fig , Determine damping ratio and ( Wn ) of the closed loop system for K=10.
2) Sketch the approximate graph of the Bode magnitude of the transfer function (use K=100).
Please answer me part 1,2
Expert Solution
Step 1
From the given root locus curve the transfer function of the given system can be written by identifying the location of the poles and zeros. In the given system there are two poles and no zeros.
Therefore, the transfer function of the system is,
Step 2
Part (1)
Consider the system to be a unity feedback system, and write the characteristic equation of the system.
As per the problem, the gain constant k is 10.
Therefore,
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