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bill nye scienceguy!
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If have a system with 4 open loop poles, all at say s=-2, how would the locus approach each of the four asymptotes?
thanks
thanks
bill nye scienceguy! said:anyway, do you mean that the open loop transfer function G(s)=1/(s+2)^4 would become something like Gc(s)=K/[(s+2)^4+K]?
I still can't really visualise what the locus would look like though. Does it just expand outwards from s=-2, following the four asymptotes?
A root locus is a graphical representation of the locations of the closed-loop poles of a control system as the gain or a specific parameter is varied. It helps us to understand how changing the parameters of a system affects its stability and performance.
Open loop poles are represented as points on the real axis in a root locus. In the case of having 4 open loop poles at s=-2, there will be 4 points on the real axis at -2.
This means that the transfer function of the system has 4 poles located at s=-2 in the open loop configuration. These poles will affect the stability and performance of the closed-loop system.
The location of open loop poles affects the shape and behavior of the root locus. In this case, having 4 open loop poles at s=-2 will create a root locus with 4 branches emanating from the poles at -2 on the real axis.
Having 4 open loop poles at s=-2 means that the system has 4 dominant poles, which can significantly impact the stability and performance of the closed-loop system. It is important to carefully analyze and design the control system to ensure stability and desired performance.