For the following model the output is x 1 and the input is f(t) x 1 5x 1 3x 2 x 2 x 1 4x 2 5f(t) a Use MATLAB to compute and plot the free response for x 1 (0) 3, and x 2 (0) 5 b Use MATLAB to compute and plot the unit step response for zero initial conditions c Use MATLAB to compute and plot the r...

a The matrices are The session is A 5 3 1 4 B 0 5 C 1 0 D 0 sysa ssABCD ...

For the following model the output is x 1 and the input is f(t). x 1 =

Question:

For the following model the output is x₁ and the input is f(t).

ẋ₁ = - 5x₁ + 3x₂

ẋ₂ = x₁ - 4x₂ + 5f(t)

a. Use MATLAB to compute and plot the free response for x₁ (0) = 3, and x₂(0) = 5.

b. Use MATLAB to compute and plot the unit-step response for zero initial conditions.

c. Use MATLAB to compute and plot the response for zero initial conditions with the input f(t) = 3sin 10πt, for 0 ≤ / ≤ 2.

d. Use MATLAB to compute and plot the total response using the initial conditions given in Part (a) and the forcing function given in part (c).

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System Dynamics

ISBN: 978-0073398068

3rd edition

Authors: William Palm III

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Question Posted: Mar 17, 2016 03:16 AM

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For the following model the output is x 1 and the input is f(t). x 1 =

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a The matrices are The session is A 5 3 1 4 B 0 5 C 1 0 D 0 sysa ssABCD ...View the full answer

System Dynamics

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