1. Routh Hurwitz criterion gives: a) Number of roots in the right half of the s-plane b) Value of the roots c) Number of roots in the left half of the s-plane d) Number of roots in the top half of the s-plane

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1. Routh Hurwitz criterion gives:
a) Number of roots in the right half of the s-plane b) Value of the roots
c) Number of roots in the left half of the s-plane
d) Number of roots in the top half of the s-plane
2. If 0 appears in the first column of a nonzero row in Routh array, replace it with
a) Small negative number
c) Large positive number
b) Small positive number
d) Large negative number
3. Number of sign changes in the entries in 1st column of Routh array denotes the no. of
a) Roots of characteristic polynomial in RHP. b) Zeroes of system in RHP. c) Open loop poles
in RHP .
d) Open loop zeroes in RHP.
4. The necessary condition for the stability of the linear system is that all the coefficients of
characteristic equation 1+G(s)H(s) =0, be real and have the :
a) Positive sign
c) Same sign
b) Negative sign
d) Both positive and negative
5. The characteristic equation of a system is given as s³+25s²+10s+50=0. What is the number of the
roots in the right half s-plane and the imaginary axis respectively?
a) 1,1
b) 0,0
c) 2,1
d) 1,2
6. The stability of closed loop control system whose characteristic equation is
s5+s*+2s³+2s²+1ls+10=0.
a) Stable
c) Unstable
b) Marginally stable( margin stable means has conjugate roots )
d) None of the mentioned
7.
If the system is represented by characteristic equation sº -
+ s² + s + 3 = 0, then the system
is
a. Stable
b. Unstable
c. Marginally stable
d. Unpredictable
8. The no. of roots of S³ + 5S² + 7S + 3 = 0, in the right half of the s-plane is
a) 2
c) 0
b) 3
d) 1
9. Using the Routh table, find the rang of k for the system to be stable and the frequency of
oscillation for the unity feedback control system has an open loop transfer function G(s) =
k(s+13)
s(s+3)(s+7)
10. Discuss the stability of the system, and determinate the number of roots in right hand side,
If the characteristic equation is: s'+2s°+s°+2s*-s³-2s²-s-2=0.
ملاحظة مهمة في هذا السؤال عنما تكون النواتج كسور اعتيادية فلا تحولها الی کسور عشرية لان بالتقریب سوف تختلف عد د
الجذور التي في جهة اليمين .
Transcribed Image Text:choose the correct answer 1. Routh Hurwitz criterion gives: a) Number of roots in the right half of the s-plane b) Value of the roots c) Number of roots in the left half of the s-plane d) Number of roots in the top half of the s-plane 2. If 0 appears in the first column of a nonzero row in Routh array, replace it with a) Small negative number c) Large positive number b) Small positive number d) Large negative number 3. Number of sign changes in the entries in 1st column of Routh array denotes the no. of a) Roots of characteristic polynomial in RHP. b) Zeroes of system in RHP. c) Open loop poles in RHP . d) Open loop zeroes in RHP. 4. The necessary condition for the stability of the linear system is that all the coefficients of characteristic equation 1+G(s)H(s) =0, be real and have the : a) Positive sign c) Same sign b) Negative sign d) Both positive and negative 5. The characteristic equation of a system is given as s³+25s²+10s+50=0. What is the number of the roots in the right half s-plane and the imaginary axis respectively? a) 1,1 b) 0,0 c) 2,1 d) 1,2 6. The stability of closed loop control system whose characteristic equation is s5+s*+2s³+2s²+1ls+10=0. a) Stable c) Unstable b) Marginally stable( margin stable means has conjugate roots ) d) None of the mentioned 7. If the system is represented by characteristic equation sº - + s² + s + 3 = 0, then the system is a. Stable b. Unstable c. Marginally stable d. Unpredictable 8. The no. of roots of S³ + 5S² + 7S + 3 = 0, in the right half of the s-plane is a) 2 c) 0 b) 3 d) 1 9. Using the Routh table, find the rang of k for the system to be stable and the frequency of oscillation for the unity feedback control system has an open loop transfer function G(s) = k(s+13) s(s+3)(s+7) 10. Discuss the stability of the system, and determinate the number of roots in right hand side, If the characteristic equation is: s'+2s°+s°+2s*-s³-2s²-s-2=0. ملاحظة مهمة في هذا السؤال عنما تكون النواتج كسور اعتيادية فلا تحولها الی کسور عشرية لان بالتقریب سوف تختلف عد د الجذور التي في جهة اليمين .
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