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Lab 03a-Polynoms & TFs

Lab 03a-Polynoms & TFs - Chemical Engineering...

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© Oscar D. Crisalle 1997-2009 Chemical Engineering Department University of Florida ECH 4323L / ECH 6326 LABORATORY 3A OPERATIONS WITH POLYNOMIALS AND TRANSFER FUNCTIONS USING MATLAB Student Name:______________________________ 1.0 By definition s = z is a zero of a transfer function G(s) if G(z) = 0, and z = p is a pole of transfer function G(s) if |G(p)| . Use the MATLAB function roots to find the poles and zeros of the following transfer functions. (Hint: find the roots of the numerator and of the denominator polynomials). 1.1 G(s) = 2 s 3 + 6 s 2 - 4 s + 3 s 5 + 7 s 4 + 9 s 3 + 3 s 2 + 5 s + 3 zeros = { } poles = { } 1.2 G(s) = 1.73 s 3 + 3.01 s 2 - 4.78 s + 1.5 s 5 + 2.66 s 4 + 7.70 s 2 + 2.1 s + 93 zeros = { } poles = { }
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ECH 4323L/ECH 6326 Lab 3 - Operations with polynomials and transfer functions 2 2.0 Use the MATLAB command roots to assist you in converting the following transfer functions to the pole-zero form. 2.1 G(s) = 10 s 2 - 10 s - 20 s 3 + 9 s 2 + 26 s + 24 = 2.2 G(s) = 3 s 2 + 9 s + 6 s 3 + 14 s 2 + 56 s + 64 = 2.3 G(s) = s 3 + 2s 2 - 4 s - 8 s 4 + 6 s 3 + 11 s 2 + 6 s = 3.0 Use the MATLAB command poly to assist you in converting the following transfer
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