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# State space representation

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Consider the following system whose state space representation is as follows:

a) Assume that the initial conditions are zero. If the reference input is a unit step input , compute x1(t), x2(t), and y(t)

b) Find the transfer function of the system.

c) Using the transfer function found in (b), Compute y(t).

d) Plot x1(t), x2(t), and y(t) using MATLAB

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#### Solution Preview

Please see the attached file.

Consider the following system whose state space representation is as follows:

x'1(t) 0 1 x1(t) 0
= + u(t)
x'2(t) -8 -4 x2(t) 1

...

#### Solution Summary

This calculation solves 4 problems, addressing reference inputs, transfer functions and plotting in MATLAB.

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