Assignment5.pdf - Linear Control Systems Assignment#5 Due...

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Linear Control Systems Assignment #5 Due Thursday, September 28, 2017 Problem 1 : Find an expression for the step response, y(t), of the standard second order system whose transfer function is given by 𝐺(?) = 𝜔 𝑛 2 ? 2 + 2𝜁𝜔 𝑛 ? + 𝜔 𝑛 2 Problem 2 : For the standard second order system shown in Problem 1, prove that (a) Peak time, ? 𝑝 = 𝜋 𝜔 𝑛 √1−𝜁 2 (b) ?. ?. = 100𝑒 𝜁𝜋 √1−𝜁 2 Problem 3 Consider unity negative feedback applied to the system with a general open loop transfer function G(s). (a) Obtain an expression for the steady state error.
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