1st Order Transfer Functions in Series: Amplitude Ratios, Phase Lags, Damping Factor and Time Delay

Описание к видео 1st Order Transfer Functions in Series: Amplitude Ratios, Phase Lags, Damping Factor and Time Delay

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Part A

1. Show algebraically that the amplitude ratio and phase lag of two transfer functions in series are the product and sum of the amplitude ratios and phase lags of the individual transfer functions respectively.

2. Show algebraically that the phase lag of a first order system asymptotically approaches -90 degrees.

3. Show algebraically that two first order systems in series will always yield an over-damped second order system.

4. Derive algebraically the phase lag for a pure time delay transfer function.

5. Computationally show and explain how a first order system with time delay may become unstable with proportional-only control.

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