D2-Slot Assignment

1) Consider the unity feedback system having an open loop transfer function . Sketch the polar plot and determine i) Gain Margin and ii) phase Margin

2) Consider the unity feedback system whose open loop transfer function is . Design a lag-lead compensator to meet the following specifications i) velocity error constant, Kv=80

ii) phase margin=35o

3) Consider a unity feedback system with open loop transfer function; Design a PD controller so that the phase margin of the system is 30o at a frequency of 1.2 rad/sec.(Frequency domain analysis)

4) Obtain the state model of the electrical network shown by choosing V1(t) and v2(t) as state variables.