Routh Hurwitz criterion and closed loop poles, fourth order poly

Cuthbert Nyack
Applet shows the Routh Hurwitz criterion applied to a 4th order polynomial and the calculation of the closed loop poles.
The closed loop poles are identified by changing r and noting when the number of sign changes in the first column changes. Some example parameters and approximate closed loop poles are shown below.

(1.0, 5.0, 8.0, 6.0, 1.0, r) poles at -0.58 ± 0.62j, -1.0, -2.84.
(7.1, 5.0, 8.0, 6.0, 1.0, r) poles at -0.0 ± 1.09j, -2.5 ± 0.73j.
(4.0, 3.0, 7.0, 7.0, 1.0, r) poles at -0.71 ± 1.02j, -0.79 ± 1.62j.
(1.0, 5.6, 10.0, 7.0, 0.6, r) poles at -0.46, -1.01, -1.19, -2.96.






Gif images below shows how applet should appear.

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COPYRIGHT 2006 Cuthbert Nyack.