Consider the system depicted in Figure 1 where K₁R(s) and Y(s) stand respectively for Laplace transforms of the system's

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Consider The System Depicted In Figure 1 Where K R S And Y S Stand Respectively For Laplace Transforms Of The System S 1 (39.92 KiB) Viewed 51 times

Consider the system depicted in Figure 1 where K₁R(s) and Y(s) stand respectively for Laplace transforms of the system's input and the system's output, K, and K are the selected gains R(s) K₁ K (s + 10) (s + 12) Figure 1: Considered System Y(s) K₂ R (s) 1. Determine the expression of Y(s) 2. Assuming that R(s) is a unit step signal (R(s) =), establish therefore, the expression of the steady-state error &, in terms of K and K₁ (Provide all the steps of your calculation, do not only provide the final result) 3. Select the value of K, that makes the steady-state error exactly equal to zero. Justify your answer