11.6 ASSIGNMENT PROBLEMS

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1. The systems below have a variable spring coefficient. For each of the systems below,

a) Write the differential equation and convert it to a transfer function.

b) If the input force is a step function of magnitude 1N, calculate the time response for `y' by solving a differential equation for a Ks value of 10N/m.

c) Draw the poles for the transfer function on a real-complex plane.

d) Draw a Bode plot for Ks = 1N/m.

2. Draw a root locus diagram for the feedback system below given the variable parameter `P'.

3. For the transfer functions below, draw the root locus plots assuming there is unity feedback, i.e., H(D) = 1. Draw an approximate time response for each for a step input.

4. Draw a root-locus plot for the following feedback control systems.