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.