ProblemsP.1: For the unity feedback system shown, whereG(s) =450(s+8)(s +12)(s +15)s(s+ 38) (s² +2s +28)find the steady-state errors for the following test inputs: 25u(t), 37tu(t), 47t²u(t).R(s) +E(s)G(s)SR(s)s-01+G(s)e(co) = limC(s)

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Answered: Problems P.1: For the unity feedback…

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Below is a very common feedback block system. It is a 1dof, and unity-feedback system. The input is the reference command R(s). This is what flows out of thin air, into the system. All other signals in the system (e.g. U, Y, etc.) will depend on R(s). R(s) a. E(s) e. K U(s) G Y(s) Write the algebraic relation between the output Y(s) and the reference R(s) in terms of G and K?. Write it in the format Y = some function of s * R b. What is the TF from R to Y, aka the closed loop TF? What is the "Loop TF" aka the "the open-loop TF"? G has zeros at ZG1, ZG2 etc. and poles at PG1, PG2 etc. C. K has zeros at ZK1, ZK2 etc. and poles at PK1, PK2 etc. What are the zeros and the poles of OLTF? What are the zeros and the poles of CLTF? d. Write the algebraic relation between the error E(s)=R-Y and the reference R(s) in terms of G and K? Write it in the format E = some function of s * R. What is the TF from R to E? Write the algebraic relation between the controller output U(s) and the reference…
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Problems P.1: For the unity feedback system shown, where G(s): = 450(s+8)(s+12)(s +15) s(s+ 38) (s² + 2s +28) find the steady-state errors for the following test inputs: 25u(t), 37tu(t), 47t²u(t). R(s) + E(s) G(s) sR(s) 01+G(s) e(x) = lim C(s)