Question: Consider the system represented in the following state variable form: * = Ax + Bu y = Cx + Du 0 A=0 -1 1 0

Consider the system represented in the following state variable form: *

Consider the system represented in the following state variable form: * = Ax + Bu y = Cx + Du 0 A=0 -1 1 0 0 1 ,B = 10 -5 (-2 k)] 14. C = [1 -9 12],D = 0 a) Find the transfer function. b) Determine the characteristic equation. c) By using the Routh-Hurwitz Criterion, determine the values of k for which system is stable by your hand. Verify the range using Matlab simulation. d) Develop your own Matlab code to plot the root-locus of this system. Consider the system represented in the following state variable form: * = Ax + Bu y = Cx + Du 0 A=0 -1 1 0 0 1 ,B = 10 -5 (-2 k)] 14. C = [1 -9 12],D = 0 a) Find the transfer function. b) Determine the characteristic equation. c) By using the Routh-Hurwitz Criterion, determine the values of k for which system is stable by your hand. Verify the range using Matlab simulation. d) Develop your own Matlab code to plot the root-locus of this system

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