EET 300 Lecture Notes - Lecture 18: Sine Wave, R V R, Lincoln Near-Earth Asteroid Research

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Before starting this lecture, you should be sure to read and understand. Stanley"s phasor discussion at the start of the chapter. Initial conditions zero for transfe t to se r functions. In chapter 8, x(s) is always considered to be a sine wave and that all sine sources are at the same frequency. Along with these assumptions, we will only be interested in the steady-state response, i. e. , after the system has settled down. x( ) t. In chapter 5 you saw the following time domain expression: y( ) t t e. G if (s) is stable all terms due to poles of (s) Based on the concept of stability from chapter 7, if. G(s) is stable, all poles due to g(s) will go to zero as t goes to infinity. (located in left hand side of plane. ) y( ) t t e. Therefore, the steady-state response is limited to just the forced response.

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