ECE3709-HW04-fa19.pdf - Z Yu 1 ECE 3709 Control Systems Engineering Homework Assignment 4 Due Tuesday 8 October 1 Use MATLAB to plot the step response

# ECE3709-HW04-fa19.pdf - Z Yu 1 ECE 3709 Control Systems...

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Z. Yu 1 ECE 3709: Control Systems Engineering Homework Assignment 4 Due Tuesday, 8 October 1. Use MATLAB to plot the step response of the systems in: (a) (b) (c) 2. Consider the following spring-mass-damper mechanical system. The input is given by f(t), and the output is y(t). Find the free body diagram, differential equation and transfer function. Figure 1 Mass m Friction Constant b Spring Constant k Mass Displacement y ( t ) Forcing Function f ( t ) 1 4 4 1 . 0 ) ( 2 + + = s s s G p
Z. Yu 2 3. A dc motor develops 55 N-m of torque at a speed of 600 rad/s when 12 volts are applied. It

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Unformatted text preview: stalls out at this voltage with 100 N-m of torque. If the inertia and damping of the armature are 7 kg-m2 and 3 N-m-s/rad, respectively, find the transfer function, G(s)=θL(s) / Ea (s), of this motor if it drives an inertia load of 105 kg-m2 through a gear train, as shown in Figure 2 below. Figure 2...
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• Fall '18
• Norali Pernalete

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