Question

QUESTION-1 (30%) The closed loop transfer function of a control system is given by $G(s) = \frac{\omega_n^2}{s^2 + 2\zeta\omega_n s + \omega_n^2}$ Determine and plot the permissible region for the placement of poles in the complex plane so that the system response to a unit step input satisfies the following conditions simultaneously a) Settling time $t_s$ (2% criterion) ? 8 seconds b) Peak time $t_p$ ? 4 seconds c) $\zeta \ge 0.5$

          QUESTION-1 (30%)
The closed loop transfer function of a control system is given by
$G(s) = \frac{\omega_n^2}{s^2 + 2\zeta\omega_n s + \omega_n^2}$
Determine and plot the permissible region for the placement of poles in the complex plane
so that the system response to a unit step input satisfies the following conditions
simultaneously
a) Settling time $t_s$ (2% criterion) ? 8 seconds
b) Peak time $t_p$ ? 4 seconds
c) $\zeta \ge 0.5$

QUESTION-1 (30%)
The closed loop transfer function of a control system is given by
G(s) = (^2)/(s^2 + 2ζ s + ^2)
Determine and plot the permissible region for the placement of poles in the complex plane
so that the system response to a unit step input satisfies the following conditions
simultaneously
a) Settling time ts (2% criterion) ? 8 seconds
b) Peak time tp ? 4 seconds
c) ζ≥ 0.5

Added by James G.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Adi S

09/18/2023

Step 1

Step 1: The closed-loop transfer function of the control system is given by Gs = s^2 + 2s + @. Show more…

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QUESTION-1 (30%) The closed-loop transfer function of a control system is given by: Gs = s^2 + 2s + @ Determine and plot the permissible region for the placement of poles in the complex plane so that the system response to a unit step input satisfies the following conditions simultaneously: a) Settling time t(2% criterion) < 8 seconds b) Peak time t < 4 seconds c) Overshoot < 0.5