Q1. a)Draw general diagrams for closed-loop control and open-loop control anddescribe their main differences.b)An RC network is given in Figure Q1.1 with the input voltage vin (t) and theoutput voltage v,(t).(i)Derive the transfer function of the network.(ii) If R, = 10 k2, R2 = 1 M2, C, = 20 uF, and C2 = 200 ur,mathematically derive the system time response with an impulse input ofmagnitude 5.R1Vin(1)R2 vo(t)Figure Q1.1. A RC networkc) Simplify the block diagram shown in Figure Q1.2 and find out the systemtransfer function Y (s)/R(s).H2R(s)G P G,G3Y(s)H1Figure Q1.2. A block diagram

The general diagram of the open-loop control system is given by:- The general diagram of the…

Q1. a) Draw general diagrams for closed-loop control and open-loop control and describe their main differences. b) An RC network is given in Figure Q1.1 with the input voltage vin (t) and the output voltage v,(t). (i) Derive the transfer function of the network. (ii) If R1 = 10 k2, R2 = 1 MN, C = 20 µF, and 2 200 mathematically derive the system time response with an impulse input of magnitude 5. %3D ur, %3D %3D R1 Vin(t) C; R2 v.(t) Figure Q1.1. A RC network c) Simplify the block diagram shown in Figure Q1.2 and find out the system transfer function Y(s)/R(s). H2 R(s) G2 G3 Y(s) H1 Figure Q1.2. A block diagram

Q1. a) Draw general diagrams for closed-loop control and open-loop control and describe their main differences. b) An RC network is given in Figure Q1.1 with the input voltage vin (t) and the output voltage v,(t). (i) Derive the transfer function of the network. (ii) If R1 = 10 k2, R2 = 1 MN, C = 20 µF, and 2 200 mathematically derive the system time response with an impulse input of magnitude 5. %3D ur, %3D %3D R1 Vin(t) C; R2 v.(t) Figure Q1.1. A RC network c) Simplify the block diagram shown in Figure Q1.2 and find out the system transfer function Y(s)/R(s). H2 R(s) G2 G3 Y(s) H1 Figure Q1.2. A block diagram

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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G1 = 100, G2 = 1000 and H = 0.009 for two block diagrams as open loop and closed loop given in the figure.a. Find the output voltages when the input voltage is 10 mV.b. For both systems, if G1 and G2 are doubled due to temperature increase, what will be the output voltages even though the input remains at 10 mV?c. Interpret the above results using the system's sensitivity principle.
Each item below describes key characteristics of a particular system (that is, a plant transfer function). For each system, describe the effect of proportional control on the stability of the closed-loop system. Specifically, 1) what can you say for small gains, and 2) what for large gains? (E.g., stable, unstable, inconclusive.) Provide a short explanation of your answers, with sketches as necessary.
Ignoring the “zero” in the numerator, and based only on the denominator of the closed-looptransfer-function, determine the range of constants Kp and Ki such that the rise-time of theclosed-loop system is equal (or less than) ?r =0.18 s and so that the relative damping factor ζ isequal to (or greater than) 0.8. Use the textbook approximation for the rise-time.
When a unit step input is applied to the closed-loop control of a system with G(s) function and controlled by proportional control, the system operates at the point A= -2.5+j3.57. A) For the relevant operating point, Calculate the proportional gain K. Find the value of ζ. Find the percent (%OS) overshoot Find the natural frequency of the point of interest. B) For the PD controller to be added when the same system is wanted to be operated at the point B= -7.8+j8.77, Find the controller zero value. Find the new K value. Find the ζ value of the relevant point. Find the percent (%OS) overshoot Find the natural frequency of the point of interest.
Subject: Feedback and Control SystemDraw the Block Diagram of the following:2. The following very simplified model of the biological mechanism regulating human arterial blood pressure is an example of a feedback control system. A well-regulated pressure must be maintained in the blood vessels (arteries, arterioles, and capillaries) supplying the tissues, so that blood flow is adequately maintained. This pressure is usually measured in the aorta (an artery) and is called the blood pressure p. It is not constant and normally has a range of 70-130 mm of mercury (mm Hg) in adults. Let us assume that p is equal to 100 mm Hg (on the average) in a normal individual. A fundamental model of circulatory physiology is the following equation for arterial blood pressure: p = Qp Example:
The circuit shown in Figure1, given that R C = 3 KΩ, R L=1KΩ, V CC = 15 V, voltage gain Av=10v and IB = 10mA. The circuit has an input signal vin of =2v. Determine the value of IC.
Assume any finite duration discrete time signal x(n) following the necessary condition satisfying the property of energy signal of your own choice. Now consider a discrete time system whichperforms Amplitude scaling operation followed by time reversal operation based on y(n) = ax(n) + x(-n). Sketch the output of resultant signal. Now classify and justify your answer with necessary and sufficient conditions that whether the above system based on all types of system.
Figure Q2 shows the block diagram of a flight control system.a) Derive the system transfer function.b) Find out the system gain, natural frequency and damping ratio for this systembased on the standard form of second order systems.c) If K1 = 2 and K2 = 10, use the standard response sheet to find out the systemsteady-state value, overshoot and 63% rise time, with a unit step input.
The control system G(s) = Kp / s (s+2) (s+6) has a unity feedback a. Kp is variable, discuss stability by using Routh Hurwitz method. Mark the poles ofthe system on root-locus curve below. b. When Kp = 26.7 , roots of the characteristic equation becomes s1= -0.6-1.89i, s2= -0.6+1.89i and s3= -6.8. Are you happy about this case? How do you evaluate,why ? c. How the root locus and step response would be effected by adding a controller Gc= Kp ( s + 0.5)2/ s . Give a comment about the addition of Gc on root locus andon step response.
1a)Construct the Signal Flow Graph for the block diagram shown in Figure above.b)Describe forward path and list down all forward path(s) of the obtained Signal Flow Graph. c)Describe loop and list down all loop(s) of the obtained Signal Flow Graph. d)Describe nontouching graph to a forward path and list down all nontouching graph(s) of the obtained Signal Flow Graph.e)Describe all variables in Mason’s Rule Formulation.f)Find the transfer function C(s)/R(s) by using the equation. Show all seven (7) steps to obtain the transfer function.
Obtain the transfer function Eo(s)/Ei(s) of the op-amp system shown in Figure 3–27 in terms ofcomplex impedances Z1 , Z2 , Z3 , and Z4 . Using the equation derived, obtain the transfer functionEo(s)/Ei(s) of the op-amp system shown in Figure 3–26
The block diagram of a control system is shown in Figure 4. The gain K is to be tuned to optimize the response of the system. To do so, the range of value for Kneed to be evaluated to make sure that the tuning will not go into instability. Root locus is the tool that can help in predicting the response of the system by plotting all the possible positions of poles as K is modified. (a) Develop the root locus sketch for the system. (b) Find the exact point and gain where the locus crosses the 0.45 damping ratio line. Conclude therefore the range of K within which the system is stable.