leebluer said:
Hello,
I have some question about the stability of the system. The basic criterion about the stability of the system is whether it has the poles in right half-plane. Assume that the system has the pole P0(Unit: radians per second) in right half-plane. I think the step response may oscillate with the frequency at P0/(2*pi). But if the input signal is cos(w0*t) with the single frequecy at w0, could it oscillates only when w0 is equal to P0/(2*pi)?
I am confused about it. Could anyone make me clear?
Thanks
In fact, I dont know how to get a system with RHP pole. But, for systems with
complex poles, there will be large ripple when settling. Then, you need to distinguish
between stationary and simutanous signal. For a step signal, any frequency is
present, then with complex pole, there will be ripple. But for a sine wave, only
one frequency is present, then for a LTI system, there will only be 1 frequency
out, or no ripple.