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What do zeros tell us about the system?

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engrbabarmansoor

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if poles tells us about the stability of the system,what do zeros tell us about the system?
 

zeros

zeros tell its a dumb system(at that particular frequency)(something like open circuit, for that particular frequency)...which is impossible case(unless you can implement a general non causal system)

Y(S) = H(S).X(S)

now if H(S) is 0 for Fz, then what ever the value of X(Fz)....Y(Fz) remains 0
 

zeros

Hi
well here are some few things I can still remeber(!)
I hope it helps.
in control engineering ,most of times ,
zeros are added to a system to stabilize it;
& to improve transient response of a system.

zeros do not have a simple interpretation just like poles.

also zeros delays the system & help it to be causal.
as you know its necessary for a causal system to have enough zeros otherwise it wont be causal.

regards
Armin
 

Re: zeros

If the zeros are inside of unitary circle, the filter or system has a minimum phase. If the zeros are out of the unitary circle, the filter has a maximum phase.

Regards
 

Re: zeros

Hey,
Only zeros determines the settling time,peak overshoot ... Only by this
property , v r saying a system is dumped when zeros r added.. i.e its settling time increases..(depending on postion of the Zeros)...
 

Re: zeros

the transfer function of any system is determined by the location of poles and zeros
 

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