5) A unity negative feedback control system has the loop transfer function L(s) = Gc(s).G(s) = K / [s(s + sqrt(2K))] [A block diagram of this description is depicted in Figure (f)] a) Determine the percent overshoot and settling time (use a 2% settling time criterion) due to a unit step input. b) For what range of K is the settling time less than 1 second?
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A unity negative feedback system with Gc(s)G(s) = K(s + 2) / (s(1 + τs)(1 +2s)) has two parameters to be selected.a. Determine and plot the regions of stability for this system.b. Select τ and K so that the steady-state error to a ramp input is less than or equal to 25% of the input magnitude.c. Determine the percent overshoot for a step input for the design selected in part (b).Use MATLAB to plot y(t) for a step input R(s).
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