Question: For the transfer functions(a) Derive an analytical expression for the step response to a unit step change. Evaluate the step-response coefficients, {Si}, for a sampling

For the transfer functions(a) Derive an analytical expression for the step response to a unit step change. Evaluate the step-response coefficients, {Si}, for a sampling period of ?t =1.(b) What value of model horizon N should be specified In order to ensure that the step-response model covers a period of at least 99% of the open-loop settling time? (That is, we require that N?t ? t99 where t99 is the 99% settling time.)2e-s Gr(s) - Gm 1 (10s + 1)(5s + 1) G.

2e-s Gr(s) - Gm 1 (10s + 1)(5s + 1) G.

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