Transfer function of a stable bibo

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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

Answer:

c) Define state variables x1 and x2at the output of the integrators in the previous diagram and write the system State Equations.

Answer:

d) Write the State Equations in Matrix Form clearly labeling matrices A, B, C, D as defined in class.

Answer:

e) Find the system Impulse Response.

Answer:

f) Find the system unit step response (output when input is a unit step) Hint: Use Laplace.

Answer:

Reference no: EM131838408

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