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Frequency Domain Design

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Find the relationship between the phase margin (on the Inverse Nichols Chart) and the damping of the closed loop poles.

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See Also This Related BrainMass Solution

Design a series controller

The process of a unity-feedback control system has the transfer function
100
Gp(s) = ------------------------
s^2 + 10 s + 100

Design a series controller (a PD, PI or PID) so that the following performance specifications are satisfied.

Steady-state error due to a step input = 0
Maximum overshoot < 2 percent
Rise time < 0.02 second

Carry out the design in the frequency domain and check the design in the time domain.

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