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Equation Display or Problem


From: Thomas D. Dean
Subject: Equation Display or Problem
Date: Sun, 14 Jun 2015 23:18:58 -0700
User-agent: Mozilla/5.0 (X11; Linux x86_64; rv:31.0) Gecko/20100101 Thunderbird/31.6.0

Back to my previous problem. I expected to bet the same system from either the zpk or equation representation. But, they are different

octave:1869> clear all
octave:1870> a0 = 1e5;
octave:1871> w1 = 1e4;
octave:1872> w2 = 1e6;
octave:1873> s = tf('s');
octave:1874> a_eqn = a0/(1+s/w1)/(1+s/w2)

Transfer function 'a_eqn' from input 'u1' to output ...
                1e+05
 y1:  --------------------------
      1e-10 s^2 + 0.000101 s + 1
Continuous-time model.

octave:1875> a_zpk = zpk([],[w1,w2],a0)

Transfer function 'a_zpk' from input 'u1' to output ...
               1e+05
 y1:  ------------------------
      s^2 - 1.01e+06 s + 1e+10
Continuous-time model.

octave:1876> a_eqn(w1)
ans =  4.9495e+04 - 5.0495e+04i
octave:1877> a_zpk(w1)
ans =  4.9495e-06 + 5.0495e-06i

Is this correct?  What am I doing wrong?

Tom Dean



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