The transfer function N(s) of a linear system is defined as N(s)=\frac{5 s}{(s-3)(s+2)} • Obtain the ramp response n, (t) for the system N(s). Based on your result for part

(i), obtain the step response ny(t) and the impulse response n(t) for the system N(s). ii) Based on your result for part (ii), derive the impulse response h (t) for asystem H(s) defined as H(s)=\frac{6 s(s-1)}{(s-3)(s+2)} Consider a system described by V(s)=\frac{1250(s+5)(s+20)}{s(s+2)(s+3)(s+15)(s+100)} Its frequency response is shown in Figure 3.1 (see next page). Use the frequency response data to perform the following tasks: Obtain the gain and phase margins. Design a lag compensator to increase the phase margin to 20°.

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