If the controller is a simple gain factor K, produce an estimatedroot-locus plot for the system with G(s) =S+8(s+4)(s+6)(S-1) A plant of transfer function G(s) is to be operated in closed-loop,with unity negative feedback, and a controller in the forward path asshown in Figure Q4REYcontrollerG(s)Figure Q4

Answered: If the controller is a simple gain…

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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QUESTION 1 A vertical vibrating system of 5 kg of mass and 500 N/m of spring stiffness is critically damped. The system is excited by a step input force f(t) = 50 N to generate an output vertical motion y(t), in metres, and t-is the time in seconds. 1.1. Determine the transfer function of the system 1.2. Provide an equivalent block diagram with a unitary negative feedback to control the motion y(t) 1.3. Using s-plane, locate the closed loop pole(s) and zero (s) of the system and provide the reasons of stability or non-stability of the system 1.4. Using the technique of partial fractions, establish the analytical expression of the time response of the vibrating system.
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mecha
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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…
The open loop transfer function of a unity feedback control system is given below; G(s) = K s(s+2)(s2+2s+2) Plot the root locus and determine the value of k at the break away point.

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