Q2Consider the open-loop transfer function K G, (s). What is meant by root locusanalysis? Explain in your own words the role of the characteristic equation inthis context.(a)(b)Explain what is meant by the Nyquist stability criterion. Discuss how this canbe used to determine the stability and robustness of a closed loop system? Youonly need to consider open-loop systems with no right-half-plane open-looppoles.

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Answered: Q2 Consider the open-loop transfer…

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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Input signals that have high voltage noise that must be filtered cannot be immediately buffered because the buffer power supply voltages are often lower than the voltages present in the noise. With this in mind there are two circuits we have demonstrated that can work in this scenario. If you have a high impedance source, is it better to use an RC lowpass filter followed by a non-inverting amplifier, or to use an active lowpass filter design (both pictured below) and why?
B + va loudspeaker is an electromechanical system that can be modeled by the electric circuit and the mechanical system shown in Figure. The voltage cod in the electric circuit is proportional to the speed of the mass, ie.. Cont Kit, and the force / acting on the mass is proportional to the current 4, 1e., - Kat. Find the transfer function from the input voltage v, to the mass position a, in terms of the parameters R, L, M, b. K₁, and K₂. R ww + Coil f- Figure Problem. M x TH
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Copy the control system shown in Figure Q2 into your answer book, labelling the actual output, control signal, desired output, plant, feedback and error signal. Q2 (a) 2 Σ K+ K, (s+1)(s+2) Figure Q2 (b) Determine the closed-loop transfer function for the system shown in Figure Q2 and hence obtain the characteristic equation for the system. Using Routh 's stability criterion, find the range of the controller gains (K, Ki) for which this system is stable. (c) For the system shown in Figure Q2, find the frequency, jo, and gain, Kı, for which the root locus crosses the imaginary axis (assume K = 1). (d) (e) What would you expect to see for the frequency, calculated in part (d), when you decrease K below 1.
Consider a unity feedback system with the following open loop transfer function: G(s) = 5.7/[s(s+ 4) (s+20)] Using the second Ziegler-Nichols method design the PID controller G₂ (s) = K₂ (1+-+T₂5) The critical gain Kis a. 202.11 O b. 134.74 O c. 269.47 O d. 404.21 O e. 336.84
1 of 1 Discuss the process of Nyquist Criterion as applied to open-loop function. В I Σ II II ... DI II
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Problem 2: The following is the open-loop transfer function for a unity- feedback discrete system with a sample period of T = 0.01s. Sketch the root-locus for this system. Be sure to also find the closed-loop transfer function and the range of K for stability using the Routh-Hurwitz criterion. Hint: The root locus will be sketched in the z-domain, but the system must be converted into the w-domain to use the Routh-Hurwitz criterion. K(z+0.8) (z – 1)(z – 0.6) G(2) =
Please solve this problem
Q6: Obtain the transfer function Y(s)/R(s) for the closed loop system shown in figure (6). Use signal flow graph (Masons gain formula) method. G:(s) G(s) R(s) C(s) G,(s) G2(s) G;(s) Figure (6) G,(8) G,(s)
Q2 Consider the open-loop transfer function KG, (s). What is meant by root locus analysis? Explain in your own words the role of the characteristic equation in this context. (a) (b) Explain what is meant by the Nyquist stability criterion. Discuss how this can be used to determine the stability and robustness of a closed loop system? You only need to consider open-loop systems with no right-half-plane open-loop poles.
BelowIn the unit feedback system given the shape, G(s),is given as. When a unit ramp is applied to the input of the system, 2% of the steady-state error and unit to the inputWhen the step is applied, it is desired that the percentage exceedance rate is 9.25% and the settling time is 0.58 s.1-In this case, which of the following is the approximate value of the constant a? 2-In this case, which of the following is the approximate value of the constant b? 3-Looking at the unit step response of the systemWhat is .peak time?

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