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EE 302 HW2-2010

# EE 302 HW2-2010 - input c Evaluate the effects of the...

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EE 302 HOMEWORK 2 Problem 1: Consider the mechanical system given in fig 1. Express the damping factors and the natural frequencies based on the physical parameters of the given system. Analyze the transient response of this system to a step input force. Analyze Steady state error. Find the type of this system. Figure 1 Problem 2: Consider an airborne vehicle which has pitch θ (s) to elevator angle δ (s) Transfer function: TF(s) = [ -0.125 (s+0.435)] / [ (s+1.23) ( s 2 +0.226 s+ 0.0169)] a) Using only the second order poles of the system and assuming no role of zeroes find the percent overshoot, rise time, peak time and settling time. b) Find the full analytical response of the system (without any assumptions) to a step

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Unformatted text preview: input. c) Evaluate the effects of the additional pole and zero on the validity of the second order assumption of a) d) Plot the step response of the vehicle and verify your conclusions found in c); also plot poles and zero on the s domain for b) and a) and analyze what happens in s domain. Problem 3: For the system given in fig 2 find N1/N2 so that the settling time for a step torque is 16 secs. Figure 2 Problem 4: Reduce the system shown in fig 3 to a single transfer function between R(s) and C(s) using reduction shortcuts changing the block diagram into simpler block diagrams. Figure 3...
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