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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.
Answer:
b) Draw a Block Diagram Realization
c) Define state variables x1 and x2at the output of the integrators in the previous diagram and write the system State Equations.
d) Write the State Equations in Matrix Form clearly labeling matrices A, B, C, D as defined in class.
e) Find the system Impulse Response.
f) Find the system unit step response (output when input is a unit step) Hint: Use Laplace.
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