The transfer function of a closed loop system is given by:KT(s)s2+(3-K)s+1where K is the path gain. Sketch the root locus of the system and analytically the break-in/break-away points and the imaginary axes crossing if any

Given closed loop transfer function is shown below

Answered: The transfer function of a closed loop…

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

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loop transfer function of the system given in the photo below;( K(s+A)/s(s2+s+B) Find the asymptotes and plot them in the s-plane. Calculate the gain when the two roots are on the imaginary axis. Calculate the angle of separation from the complex poles. draw root locus. A=5 B=4
Consider a closed loop system with zero order hold.consider Gp(s)=400/s2+400.determine the closed loop transfer function T(z) for the system at T=1sec
A hard disk drive (HDD) is an electro-mechanical data storage device that stores and retrieves digital data using magnetic storage and one or more rigid rapidly rotating platters coated with magnetic material. Figure 1 shows a simplified block diagram of a HDD. For analysis purposes, given gain K=30 and G(s)=1 / s(s+4) determine the open-loop and closed loop poles of the HDD and plot these separately in the S-Plane. Also discuss the stability using two different approaches.
Measurements conducted on a servomechanism show the system response to be: C (t) = 0.3 e 60t + 1.5 e 10t, when subjected to a unit step input. [1].Obtain the expression for the closed-loop transfer function. [2].Determine the undamped natural frequency and damping ratio of the system.
Open loop transfer function G( s ) = K/ s(s+3)(s+4) for a systema) using the Routh Hurwitz criterion, the poles of the closed loop system are purely imaginary calculate the value that K will get so that it has roots on the axis.b) calculate the maximum value that K will receive so that the system can be stablec) calculate the values that K will get so that the system can have roots at -1 on the real axis
For the system described by the following transfer function (A) Find the state space equations. (B) Show that the system is completely state controllable. (C) Show that the system is completely state observable. (D) Design a regulator using state feedback technique to satisfy the response of dampingratio ( ζ=0.6), natural frequency (ωn =6) and zero steady state error. (E) Implement regulated system.
b) G(?)=K [(S−1)(S−2) / (S+2)(S+3)] ; Construct nyquist curves for K=1, 5/3, 9 values. Write down the Nyquist stability criterion and explain whether the system is stable or not. c) Define the gain and phase margin, this time on the nyquist curve.
a) Construct nyquist curves for K=1, 5/3, 9 values. Write down the Nyquist stability criterion and explain whether the system is stable or not. b) Define the gain and phase margin, this time on the nyquist curve. G(s)=K(s-1)(s-2)/(s+2)(s+3)
The transfer function is H(s) = (1.2s+0.18)/(s3 + 0.74s2 + 0.92s) and C(s) = (K(s+1))/ s A) A disturbance input W(s) =W/sk , where W is a constant, into the feedbackcontroller as shown below. We set R(s) = 0. What type of disturbance input W(s)(step, ramp, or parabola) can thesystem reject (i.e., the steady-state error ess is a nonzero constant)? (B) Suppose you want to design the controller C(s) to produce a closed-loop response to areference step input that has no more than 30% maximum overshoot (Mp ≤ 0.30) and a peak timeof no more than 8 sec (tp ≤ 8). Given the specifications on Mp and tp , compute the constraintson the damping ratio ζ and the damped natural frequency ω, assuming that the closed-loop systemis approximated as a 2nd-order underdamped system. Sketch the allowable regions in thecomplex plane (the s-plane) that these constraints define, and shade in the regions where the polesshould not be placed.
Question 03: Assuming that when applying a step r(t) = 1 at the input of a system, it presents as output the curve below, with its closed-loop transfer function given by G(s), determine: a) The values of k, b and m. b) The closed-loop and open-loop transfer function; c) The classification of the closed loop transfer function with respect to its damping. Justify!
From a compliance transfer function of a spring-mass–damper system, the stiffness is determined to have a value of 0.6 N/m, a natural frequency of 0.50 rad/s, and a damping coefficient of 0.089 kg/s.1. Neatly derive the expressions of the magnitude and phase of the mobility transfer function

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The transfer function of a closed loop system is given by: K T(s) s2+(3-K)s+1 where K is the path gain. Sketch the root locus of the system and analytically the break- in/break-away points and the imaginary axes crossing if any