P Control Second Order Type 0 Step response and Root locus
Cuthbert Nyack
Applet shows the step response and Root Locus plot for a type 0 second
order system with poles at -a and -b. The continuous system is always
stable.
eg parameters (K, 0.5, 0.5, 0.1, 1.0). This system is stable
for K < 19.9. At K = 19.9 the system is oscillatory at
~0.14(w/2) and for K > 19.9,
the system is unstable.
eg parameters (K, 0.9999.., 1.0, 0.3, 1.0). This system is stable
for K < 15.0. At K = 15.0 the system is oscillatory at
~0.35(w/2) and for K > 15.0,
the system is unstable.
eg parameters (K, 0.05, 0.05, 0.1, 1.0). This system is stable
for K < 1.9. At K = 1.9 the system is oscillatory at
~0.04(w/2) and for K > 1.9,
the system is unstable.
eg parameters (K, 2.0, 2.0, 0.5, 1.0). This system is stable
for K < 26.0. At K = 26.0 the system is oscillatory at
~0.66(w/2) and for K > 26.0,
the system is unstable.
Gif image below show how the applet should appear.
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COPYRIGHT © 2006 Cuthbert Nyack.