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Lab 03a-Polynoms & TFs

Lab 03a-Polynoms & TFs - functions to the...

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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) = zeros = { } poles = { } 1.2 G(s) = zeros = { } poles = { } 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) = = © Oscar D. Crisalle 1997-2010
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ECH 4323L/ECH 6326 Lab 3 - Operations with polynomials and transfer functions 2 2.2 G(s) = = 2.3 G(s) = = 3.0 Use the MATLAB command poly to assist you in converting the following transfer
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Unformatted text preview: functions to the polynomial form. 3.1 G(s) = = 3.2 G(s) = = 4.0 Use the MATLAB function conv to find polynomial C(s) = P(s) Q(s). 4.1 P(s) = s + 2 Q(s) = s + 3 4.2 P(s) = s 2 + 2 s + 1 Q(s) = 3 s + 1 4.3 P(s) = 1.15 s 3 + 2.233 s 2 + 1 Q(s) = 4 s + 1 4.4 P(s) = (s + 1.25) (s – 3.9) (s + 1.47) Q(s) = 4 s + 1 5.0 Use MATLAB to carry out the product of transfer functions G(s) = G 1 (s) G 2 (s). Hint: the numerator polynomial is obtained by multiplying the numerators of G 1 (s) and G 2 (s), and the denominator polynomial is obtained by multiplying the denominators of G 1 (s) and G 2 (s). 5.1 G 1 (s) = G 2 (s) = G(s) = G 1 (s) G 2 (s) = 5.2 G 1 (s) = G 2 (s) = G(s) = G 1 (s) G 2 (s) = ECH 4323L/ECH 6326 Lab 3 - Operations with polynomials and transfer functions 3 5.3 G 1 (s) = G 2 (s) = G(s) = G 1 (s) G 2 (s) =...
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  • Spring '10
  • Crissale
  • UCI race classifications, Tour de Georgia, Rational function, following transfer functions, Chemical Engineering Department University of Florida

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