3. For the transfer functions shown below, T(S) = s+3 s + 10s +36 Convert the...
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3. For the transfer functions shown below, T(S) = s+3 s² + 10s +36 Convert the transfer function into the state-space representation. b. find the locations of the poles and zeros, plot it on the s-plane, write an expression for the general form of the step response without solving for the inverse Laplace transform. d. State the nature of the response (overdamped, underdamped, and so on). e. Find the damping factor and the natural frequency of the system: <; wn; Ts; Tp; Tr, and %OS by hand and MATLAB using the LTI Viewer (30 points). 3. For the transfer functions shown below, T(S) = s+3 s² + 10s +36 Convert the transfer function into the state-space representation. b. find the locations of the poles and zeros, plot it on the s-plane, write an expression for the general form of the step response without solving for the inverse Laplace transform. d. State the nature of the response (overdamped, underdamped, and so on). e. Find the damping factor and the natural frequency of the system: <; wn; Ts; Tp; Tr, and %OS by hand and MATLAB using the LTI Viewer (30 points).
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