How are the continuous poles mapped into the discrete ones for your plant?

Question

Answer

It is impossible to determine the applied mapping because we have an integrator and it implies a unit result for whatever base and period we use

Answer

They are not located according to the theoretical definition, but we have the guarantee that the continuous impulse response of the original plant is preserved into the response to a discrete delta for the discretized plant

Answer

They are located according to the theoretical definition, all the real ones into exponential ones and the complex ones into imaginary ones, so that stability is preserved both in open and closed loops

Answer

They are located according to the theoretical definition, and therefore we have the guarantee that the continuous impulse response of the original plant is preserved into the response to a discrete delta for the discretized plant

Answer

They are not located according to the theoretical definition and the plant stability changes

Answer

It is impossible to determine the applied mapping because we have an integrator and a negative sign, which always implies a minus unit result for whatever base and period we use

Answer

They are located according to the theoretical definition, instability and open-loop step response are preserved

Answer

They are not located according to the theoretical definition, but we have the guarantee that the continuous unit ramp response of the original plant is preserved into the response to a discrete unit ramp for the discretized plant

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How are the continuous poles mapped into the discrete ones for your plant?

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