LabExer1-Laplace &amp; Modelling in the frequency domain

# LabExer1-Laplace &amp; Modelling in the frequency...

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Click to edit Master subtitle style 7/22/11 FEEDBACK AND CONTROL SYSTEM LABORATORY 1-LAPLACE TRANSFORM AND MODELLING IN THE FREQUENCY DOMAIN

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7/22/11 The Laplace Transform of a function of time f(t) is given by the following integral We often denote the Laplace transform LAPLACE TRANSFORM
7/22/11 In principle, an algebraic equation should be much easier to solve, but this doesn’t always work out in Practice. But with MATLAB at our disposal the situation is greatly simplified. To compute a Laplace transform in MATLAB, we make a call to laplace(f(t)) . This is done using symbolic computation.

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7/22/11 Using Matlab determine the Laplace transform of the following functions f(t) = 1) u(t) 6) sin (wt) 2) t2 7) cosh (bt) 3) t3 8) sin (wt) 4) e-bt 9) Verify the linearity* of 5) cos (wt) Laplace transform
7/22/11 TRANSFER FUNCTION USING THE SYMBOLIC MATH Required transfer function: G(s) = I2(s)/ V(s) The s-domain loop equation for the above circuit are: R1I1(s) + LsI1(s) – Ls I2(s) = V(s) LsI2(s) + R2I2(s) + (1/Cs)I2(s)-LsI1(s) = 0 R1 = 200 R2 = 400 L= 10m C = 1/3 μ

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## This note was uploaded on 07/22/2011 for the course ECON 112 taught by Professor Ahd during the Spring '11 term at Alabama.

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LabExer1-Laplace &amp; Modelling in the frequency...

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