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# Find the transfer function from state space representation

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Consider the following system (see attachment) whose state space representation is as follows:

a) Find the transfer function of the system.
b) Compute eAt using the eigenvalues and eigenvectors method.
c) Compute eAt using the partial fraction method.
d) If u (t)=0 for t &#8805; 0,compute x (t), y(t), and x(1) =[ -1 2]T
e) Assume that the initial conditions are zero. Using MATLAB ,Plot x(t), y(t), given that u(t)= -5 for 0 &#8804; t &#8804; 3 and u(t)=5 for 3 &#8804; t &#8804; 6

https://brainmass.com/engineering/electrical-engineering/transfer-function-state-space-representation-54260

#### Solution Preview

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

x'1(t) 5 2 x1(t) 1
= + u(t)
x'2(t) -2 5 x2(t) 1

x1(t)
y(t) = [ 1 5 ] ...

#### Solution Summary

The expert finds the transfer function from the state space representation.

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