Question: DP8.6 A single-input, single-output system is described by (a) Determine p and K such that the unit step response exhibits a zero steady-state error and

DP8.6 A single-input, single-output system is described by

K x(1) + 0 x(t) = 0 1 -1 -P y(t) =[

(a) Determine p and K such that the unit step response exhibits a zero steady-state error and the percent overshoot meets the requirement P O. . ≤ 5%.

(b) For the values of p and K determined in part (a), determine the system damping ratio ζ and the natural frequency ωn.

(c) For the values of p and K determined in part (a), obtain the Bode plot of the system and deter

mine the bandwidth ωB.

(d) Estimate the bandwidth using ζ and ωn and compare the value to the actual bandwidth from part (c)

K x(1) + 0 x(t) = 0 1 -1 -P y(t) =[ 0 1 ]x(t).

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