Question: CP8.5 A block plot of a second-order system is shown in Figure CP8.5. (a) Determine the resonant peak M p the res onant frequency

CP8.5 A block plot of a second-order system is shown in Figure CP8.5. 100 R(s) Y(s) s(s+6) FIGURE CP8.5 A second-order feedback control system.

(a) Determine the resonant peak Mpω the res

onant frequency ωr, and the bandwidth ωB, of the system from the closed-loop Bode plot. Generate the Bode plot with an m-file for ω = 0.1 to ω = 1,000 rad s using the logspace function.

(b) Estimate the system damping ratio, ζ, and natural frequency ω.

(c) From the closed-loop transfer function, compute the actual ζ and ωn and compare with your results in part (b).

100 R(s) Y(s) s(s+6) FIGURE CP8.5 A second-order feedback control system.

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