a. Find the poles and zerosb. Find the damping ratio (C), and the natural frequency (w)c. Based on the value of the damping ration, indicate if the step response ofthe system is: Undamped, Underdamped, Critically Damped, or Overdamped.Explain.d. For the cases of Underdamped response use the equations given below tofind: Ts, Tp, Tr, and %OSG(s) =15s² + 11s + 30.25

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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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When a controller with a gain, k, of 1 is used in the closed-loop system (see image added): What is the steady-state error of the closed-loop system when the input is a unit step? Find the value of the damping ratio and the natural frequency of the closed-loop system. Use these to plot the unit step response of the closed-loop system using the step response interactive resource. Submit a screenshot of the step response in your answer and show any calculations you used to derive any parameters.
Q2] For the circuit shown below, when the switch closed at =0 and by assuming zero initial charge on the capacitor terminals. Do as required: a. Find the transient current equation w.r.t. time. b. Identify the state of cireuit. c. Find Neper frequency, resonant radian frequency, damping radian frequency, and natural radian frequency d. The value of "C" that makes the circuit as critically-damping. 1002 0.3H 200V 75µF Vc
1. A worker is residing inside an air-conditioned cabin in an Cabin T Gp Ext. T industrial environment. Temperature regulating section of Gc the cabin is shown in the figure. Gc is the steady-state gain of the heating/cooling device (controller) built into the cabin, H while Gp represents the steady-state gain associated with the thermal characteristics of the worker. H is the gain with which the internal temperature is fed back to the controller. The operating internal temperature (y) of the cabin is allowed to be 30°C at maximum while external temperature can go up to {a}°C. The required condition is achieved with Gc= 3 Gp=2, and H= . Note: Here, "a" is a variable and the result should be in terms of "a".
Select the step-response characteristics of this system with its closed-loop poles as shown. jo s-plane Select one: O a. unstable O b. underdamped O c. critically stable O d. critically damped e. stable 9:22 4) A ENG 19-AF TOSHIB
Control System. Please answer all questions,TQVM
Problems for home work(time domain response) be Q4) A particular control system yielded a steady state error of 0.20 for unit step input. A unit integrator is cascaded to this system and unit ramp input is applied to this modified system. What is the value of steady-state error for this modified system?
: A discrete time linear system has the responses y,[n]. yz[n] and yz[n] as a result of the applied inputs x, [n], x2[n] and x3[n], respectively. Structures of the mentioned inputs and responses are given in the following figures. Find the response of this system when the input x[n] is applied as an input by utilizing the given figures. X1[n] Y1[n] t. 2 X2[n] Y2[n] X3[n] Y3[n] ILL. T.T.T: X[n]
6. Consider the circuit depieted in the figure below, R V,eiut where we shall assume that the input voltage can be written as Vin(t) = Re{Voet} with complex-valued Vg, and likewise that the output voltage Vout(t) = Re{Vje*} with complex-valued Vị. With j = V-1, the complex impedances of resistors, ca- pacitors, and inductors in this case are respectively given by ZR = R, Zc = ZL = jwL. (a) Determine Vı/Vo as a function the angular frequency w given the parameters R and C. (b) Evaluate Vi/Vo in the limit w +0 and in the limit w + o0. Is the circuit above a low-pass filter, a high-pass filter, or something else? w
- For the closed-loop control system of forward T. F. 3+5 and feedback T. F. 4: A- Find the unit-step response and maximum overshoot and peak time B- Find the static steady-state error shown by this system whe subjected to the input r(t) = 3/u(t) — 12tu(t).
Frequency stability refers to an oscillator's ability to maintain a constant frequency and is critical in communications systems. The word "short-term" or "long-term" is frequently used to describe frequency stability. Short-term stability is primarily influenced by dc operating voltage variations, but long-term stability is influenced by component aging as well as changes in ambient temperature and humidity. Which of the statements below is TRUE? Select your answer. Because RC phase shift oscillators are subject to both short- and long-term fluctuations, frequency stability in LC tank-circuit and RC phase shift oscillators is inadequate for most radio communications applications. Because RC phase shift oscillators are prone to short-term changes, frequency stability in LC tank-circuit and RC phase shift oscillators is inadequate for most radio communications applications. Because RC phase shift oscillators are sensitive to long-term fluctuations, frequency stability in LC tank-circuit…
Derive the response of second-order instrument for step input and identify the characteristic for different damping conditions.
A control system has a closed loop T.F. with unity feedback asY(s)U(s) = K(s + 3)s(s + 2) + K(s + 3)draw the R.L. and design the system to have a damping ratio of 0.866, then find the location of roots.

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