Consider the equation s3 + 9s2 + (8 + K)s + 2K = 0 Use the

Chapter , Problem 11.55

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Consider the equation

                                                           \(s^3+9 s^2+(8+K) s+2 K=0\)

Use the sgrid function to determine if it is possible to obtain a dominant root having a damping ratio in the range \(0.5 \leq \zeta \leq 0.707\). If so, use MATLAB to obtain the value of K required to give the largest possible value of \(\zeta\) in the range \(0.5 \leq \zeta \leq 0.707\).

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