12.8. Frequency-Domain Analysis of Control Systems
The frequency domain analysis is generally done by using a sinusoidal input signal. When a sinusoidal input signal is given to a linear time-invariant system, the output response consists of transient and steady-state parts, whereas when the transient part dies down as → ∞, only the steady-state part remains. The frequency response is the steady-state response of a system to a sinusoidal input signal. The advantage of frequency response analysis is that stability of a closed-loop system can be determined from the frequency response of an open-loop system, be it Bode plot, Nyquist plot or Log-magnitude versus phase plot.
Consider that a sinusoidal input signal is applied to an LTI system and ...
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