including matlab code, It must includes step-by-step solution. 1. Analyze a given transfer function G_(p)(s)=(k(s-a)(s-2))/(s(s+1)(s+0.1)(s+b)) such that a and b give the system stable using Routh-Hurwitz array. 2. A given function in Laplace transform G_(p)(s)=(4(s^(2)+2s))/(s^(4)+3s^(3)+4s^(2)+6s+4) a. Determine the step, impulse, and sinusoida solutionspile.com

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including matlab code, It must includes step-by-step solution. 1. Analyze a given transfer function

G_(p)(s)=(k(s-a)(s-2))/(s(s+1)(s+0.1)(s+b))

such that

a

and

b

give the system stable using Routh-Hurwitz array. 2. A given function in Laplace transform

G_(p)(s)=(4(s^(2)+2s))/(s^(4)+3s^(3)+4s^(2)+6s+4)

a. Determine the step, impulse, and sinusoidal responses. b. Analyze the system is stable using Routh-Hurwitz array. c. Calculate amplitude ratio and phase angle. d. Use Ziegler-Nichols step-response method to determine PI controller e. Use Ziegler-Nichols frequency-response method to determine PID controller f. Simulate and compare closed-loop responses for both method. Determine, root mean square error (RMSE).

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