Solution-Determine the stability of the system

Determine the stability of the system

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Reference no: EM13340394

1. For the characteristic polynomials given below construct the Routh array and determine the stability of the system. Also determine the number of roots lying on the right half of s-plane, left half of s-plane and on imaginary axis.

a) 9s⁵- 20s⁴+ 10s³- s²- 9s -10 = 0

b) s⁶+ s⁵ + 3s⁴+ 3s³+ 3s²+ 2s +1 = 0

2. Determine the range of K for stability of a unity feedback system whose open loop transfer function is given by Eq. 1.

G = k/s(s+1)(s+2)

3. For the unity feedback system shown in Fig. 1, construct Routh array to determine the value of ‘K' and ‘a' so that the system oscillates at a frequency of 2 rad/sec. Use MATLAB to verify the obtained result.

862_Determine the number of roots.png

Reference no: EM13340394

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Determine the stability of the system

Reference no: EM13340394

Reference no: EM13340394

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