# hw6 - ECE320 Homework 6 Cornell University Spring 2006...

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ECE320 Homework 6 Spring 2006 Cornell University T.L.Fine Please hand in this assignment at the end of lecture on Tuesday, 14 March. Use only your assigned three-digit code and not your name. Throughout, give reasons for your answers. 1. Consider the negative feedback system shown in Figure 1. f g e u S S 1 2 + - Figure 1: Negative Feedback System The subsystem S 1 is an amplifier by K . The subsystem S 2 is an integra- tor (the derivative of its output equals its input). On the Blackboard 320 site, under Course Documents/Matlab Programs, you will find dfield7.m written by Professor John Polking at Rice and my brief summary Notes to dfield7 . You can use this program to numerically solve first-order differen- tial equations. (a) Let the input f ( t ) = 1. For each of the three values of gain K given by 0 . 1 , 1 . 0 , 10 provide plots of the output starting from initial condition g (0) = 0. Run dfield7.m for a time interval [ - 2 , 10] and an amplitude range of [ - 3 , 3].

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