Question: Given the Transfer Function of a stable BIBO, continuous time LTI system at rest (zero initial contions):
H(s)=1/(s2+10s+21)
a) Find the system differential equation.
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b) Draw a Block Diagram Realization
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c) Define state variables x1 and x2at the output of the integrators in the previous diagram and write the system State Equations.
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d) Write the State Equations in Matrix Form clearly labeling matrices A, B, C, D as defined in class.
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e) Find the system Impulse Response.
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f) Find the system unit step response (output when input is a unit step) Hint: Use Laplace.
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