CHEN 4601 Lecture 13: 2015_9_25 Lecture
2 Oct 2015
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A = amplitude omega = radian frequency (rad/time) Chen4601_processcontrol page 1 eventually goes to 0 ultimate response: sine wave shifted by squiggly term defined below. Chen4601_processcontrol page 2 ultimate input output: the output sine wave has the same frequency as the input wave, the ratio of amplitudes, y(t) is not in phase w/ u(t). The phase shift is i. e. the output always lags behind the input wave (negative shift) Chen4601_processcontrol page 3: amplitude of y(t) depends on the frequency of u(t) Application: an exponential filter - 1st order system w/ unity static gain xf = filtered signal x = signal. If x is composed of various harmonics then those frequencies that are >> 1/tau will be cut out. Those others will go through unaffected => this kind of filter is also called low -pass filter lets low frequencies go unaffected while high frequencies are attenuated can"t let this one go through controller, so pass through filter.
