The mass spring damper system of a plant assembly can be represented using the following differentialequation:mFV(s)F-b-Figure 1: Mass spring damper system with differential equationKadx-- Kx = m.dtThe transfer function, defined as the ratio of output displacement to input force, is given by:x(s)G(s)F(s)Where mass (m) = 1 kg, spring constant (K) = 40 N/m and compressor element (b) = 10 Ns/md²xdt²=Assuming initial conditions to be zero:Part 1:Mass SpringDamper System[G₁(s)]Feedback Controller[H(s)]Figure2: Plant with feedback systeme(s)The mass spring damper system is assembled with a gain "Ka" and a feedback controller (H(s)).Where, H (s) is the transfer function of the feedback controller.H(s) = 24s² + 150s + 710Ka = 625a) Determine the overall open-loop transfer function (G₂(s)) of the system illustrated inFigures2 (The transfer function should be in standard form and denoted as G₂(s)).b) Design a new block diagram for the aforementioned system (G₂(s)), assuming unityfeedback. Illustrate the system's response to a unit step function.c) Compute the steady-state error for unit step function, unit ramp function and unitparabolic function.

The Differential equation of the system is

Assuming initial conditions to be zero: Part 1: a) Determine the overall open-loop transfer function (G₂(s)) of the system illustrated in Figures2 (The transfer function should be in standard form and denoted as G₂ (s)). b) Design a new block diagram for the aforementioned system (G₂(s)), assuming unity feedback. Illustrate the system's response to a unit step function. c) Compute the steady-state error for unit step function, unit ramp function and unit parabolic function.

Assuming initial conditions to be zero: Part 1: a) Determine the overall open-loop transfer function (G₂(s)) of the system illustrated in Figures2 (The transfer function should be in standard form and denoted as G₂ (s)). b) Design a new block diagram for the aforementioned system (G₂(s)), assuming unity feedback. Illustrate the system's response to a unit step function. c) Compute the steady-state error for unit step function, unit ramp function and unit parabolic function.

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...

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