Question

2) A unity feedback closed loop control system has $G_c = K$, and $G = \frac{(s+2)}{s(s-3)}$. a) Find the closed loop transfer function T. b) What is the characteristic equation of the closed loop system? c) Determine the range of K values for which the system is stable. Use the Routh-Hurwitz criterion.

          2) A unity feedback closed loop control system has $G_c = K$, and $G = \frac{(s+2)}{s(s-3)}$.
a) Find the closed loop transfer function T.
b) What is the characteristic equation of the closed loop system?
c) Determine the range of K values for which the system is stable. Use the Routh-Hurwitz
criterion.

2) A unity feedback closed loop control system has Gc = K, and G = ((s+2))/(s(s-3)).
a) Find the closed loop transfer function T.
b) What is the characteristic equation of the closed loop system?
c) Determine the range of K values for which the system is stable. Use the Routh-Hurwitz
criterion.

Added by Purificaci-N B.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Manish Jain

Step 1

T = Gc * G Gc = K G = (s+2)/(s*(s-3)) T = K * (s+2)/(s*(s-3)) b) The characteristic equation of the closed-loop system is obtained by setting the denominator of T equal to zero. s*(s-3) = 0 s^2 - 3s = 0 The characteristic equation is s^2 - 3s = 0. c) To Show more…

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2) A unity feedback closed-loop control system has Gc = K, and G = (s+2)/(s*(s-3)). a) Find the closed-loop transfer function T. b) What is the characteristic equation of the closed-loop system? c) Determine the range of K values for which the system is stable. Use the Routh-Hurwitz criterion.