Consider a system with the transfer function G(s) = 1/(s+1)². 11)An integral controller Ge(s) = K1/s gives one closed-loop pole at s = -a . The value of KI is -a? – 2a – 1 a? – 2a + 1 a3 – 2a? + a -a – 2a? - a 12)Determine the value of a that maximizes the integral gain.

Consider a system with the transfer function G(s) = 1/(s+1)². 11)An integral controller Ge(s) = K1/s gives one closed-loop pole at s = -a . The value of KI is -a? – 2a – 1 a? – 2a + 1 a3 – 2a? + a -a – 2a? - a 12)Determine the value of a that maximizes the integral gain.

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...

See similar textbooks

Related questions

Q: Given an analog signal X(t) = 3 cos (2n . 2000t) + 2 cos (2n . 60000t) sampled at a rate of 10,000…

Q: Tools Some practice ques. UNIVERSITY OF UL. X 313 180% fep = 30 0 HE 8) Before the digitisation…

Q: consta (1+s)e -2« G(s) = %3D (3s+1)(5s+1) (1.25s+ 1)

A: Skogestad’s “half rule” • Skogestad (2002) has proposed a related approximation method for…

Q: We have seen that transfer functions can be frequency scaled by replacing s by s/kf each time that…

Q: For the signal flow graph below, the transfer function is K1 1/[s(Js+f)] -1 Select one: a.…

Q: The open-loop transfer function of a system is: G(s)= K/ [(s+1) (s+ 4)²] Sketch the root-locus…

A: transfer function: The characteristic equation

Q: Equation Q4 shows a sinusoidal message signal, v(t). v(t) = 2 cos(10000nt) + 5 cos(2 20000nt) ...…

A: "According to the Company's policy we will Given the message signal:…

Q: ) Explain the drawing rules and formulas of the Nyquist curve. b) G(?)=K [(S−1)(S−2) / (S+2)(S+3)]…

A: Solution (a) Drawing rules and formulas of the Nyquist curve

Q: Obtain a state-space equation and transfer function for the system defined by: ÿ + 4ÿ + 3ÿ + 2y = ii…

A: y...+ 4y ..+ 3y. +2y= u.. +u. +5uInput=uOutput=ytransfer function T(S) = Y(S)X(S)Here no initial…

Q: A controller is designed so that the nominal closed-loop transfer function has bandwidth 0.5 rad/s…

A: Given A controller is designed so that the nominal closed-loop transfer function has bandwidth 0.5…

Q: Problem 2 Consider the digital filter block diagram shown below T T y(k) B2 Bo Y(k) T (a) Draw the…

Q: loop transfer function of the system given in the photo below;( K(s+A)/s(s2+s+B) Find the…

Q: X(s) S+4 F(s) ) s 3 +10s +10s+5

Q: Plot the Root Locus for the following transfer function loop gain; include initial pole/zero…

A: Given Transfer function G(s)·H(s)=N(s)D(s)=s2+16·s+164s4+25·s3+200·s2+560·s+384 which we can rewrite…

Q: 3. RI Vin R2 Vout i. For the circuit shown above, write an expression for the transfer function,…

Q: Sketch the Nyquist diagram for a system with open-loop transfer function GH(s) = K(s-2) %3D (s+1)2…

A: The nyquist can be solved by using below equation.

Q: Find Amid and F1 (s) for this transfer function. Is there a dominant pole? If so, what is the…

A: The transfer function is given below; AVS=50 S2S+3S+40 Now mid-band gain is found below;…

Q: (b) Consider the RLC circuit in Figure 1, ) Write the Kirchhoff Voltage and Current Laws in s-domain…

Q: Write “True' or False' and correct the false for each of the following: A- The folding frequency or…

A: A - true fny = 2fm So nyquist limit is equal to half of sampling frequency B -

Q: Q1. Consider the control system whose open-loop transfer function is: 40(S + 2) G(s) = s (s + 3)(s +…

A: A)

Q: Two- Explain what is the difference and commonality between the transfer function and the state…

A: This question is related to control systems

Q: Q2: The signal g (t), defined by the relation: g(t) = 10 cos 100nt cos 200nt is required to be…

A: CONTINUOUS AND DISCRETE-TIME SIGNALS: Because a signal is a function, we truly mean continuous-time…

Q: signal V (t) band-limited to 3 kHz is sampled at a rate 40 % higher than the Nyquist rate, quantized…

A: First we will find out the sampling frequency then we will find out number of bits per sample for…

Q: Crossover/damped vs. damping ratio A second order system is define as: 1.3000 1.2000 R(s) k C(s)…

A: As per our guidelines we are supposed to answer only 3 subparts. Kindly repost the other parts in…

Q: Q2) Given a two-input neuron with the following parameters: p=[5],w = [32], b = 1.2 W= 6 calculate…

A: Given An input neuron parameters,we need to obtain the output of given transfer function. Please…

Q: Question 4. We have a biomedical measurement set-up that can be modeled as a second order system…

A: Disclaimer: Since you have asked multipart questions, we will solve the first three subpart for…

Q: Ior a Dass up to 1000 Hz. You are planning to implement the filter digitally by first design- ing an…

A: Passband frequency, fp = 500 Hz Stopband frequency, fs = 1000 Hz Sampling frequency, fS =4000Hz Wp…

Q: Problem 5.11 (a) Sketch the Nyquist plot for an open-loop system with transfer function 1 G(s) (b)…

A: “Since you have asked multiple questions, we will solve the first question for you. If youwant any…

Q: A signal V (t) band-limited to 3 kHz is sampled at a rate 40 % higher than the Nyquist rate,…

A: Given: Brief description: For the given pulse code modulation system, the bandwidth of the message…

Q: A system transfer function has its poles at −2,−2 and −1± j1, and its zeros at 1,−3. (1) Determine…

Q: Generating a discrete signal from its analogue version, the Nyquist theorem should be understood…

A: Nyquist Theorem: A band limited continuous-time signal can be sampled and perfectly reconstructed…

Q: ut. [1].Obtain the expression for the closed-loop transfer function. [2].Determine the undamped…

A: Given: For the given expression, the functions are given as:

Q: , Determine the transfer function, C(S)/R(s) using Mason's gain ferme from the following signal flow…

A: Mason's Gain Formula: T=∑n=1KPn∆n∆Where,Pn=nthPathK=Total path in given…

Q: Linear Time-invariant Systems Consider the following op-amp circuit: Derive an expression for the…

A: a. The above-shown circuit is in inverting configuration, the circuit in the s domain is shown…

Q: The voltage transfer function of the prototype bandpass filtershown isH(s)=(1Q)ss2+(1Q)s+1. Show…

A: The transfer function of the circuit is,H(s)=1Qss2+1Qs+1...(1) The transfer function of RLC circuit…

Q: 1.- The open-loop transfer function of a system is: G(S)H(S) = K/(S – 1)(S + 2), where K = 1. Figure…

A: We have given the transfer function G(s)H(s)=K/(S-1)(S+2) where K=1 Given figure shows the general…

Q: The relation formed by equating to zero the denominator of a transfer function. Select one: a.…

A: For a transfer function we have numerator and denominator . Poles are the roots of denominator of…

Q: (1) We want to compute the DFT for the signal f(t)= 2rect (t). If the frequency resolution F, is…

Q: Q1) Given the following block diagram system. 10 Ris) a) Reduce the block diagram to a single…

Q: What is lag compensator? Draw its circuit diagram and derive the expression for the transfer…

A: The detailed answer is solved below according to the given parameters and instructions in the…

Q: We have a biomedical measurement set-up that can be modeled as a second order system with natural…

A: NOTE: Since you have posted a question with multiple subparts, we will solve the first three…

Q: 1. Design an op amp-based low pass filter with a cutoff frequency of 500HZ and a passband gain of 10…

A: Given Passband gain= 10 C=50nF

Q: Given a discrete-time signal x[n] as shown in Figure Q1. Analyse the properties of the signal by…

Q: 1. The CT signal x(1)=6cos (800rt) + 8cos² (mat) is critically sampled (Nyquist rate) by f=8000 Hz.…

A: Note: As per our policy, I have attempted the first three subquestions. Given data:…

Q: a) i. How to identify the system's stability using frequency domain technique? ii. Normalised the…

A: The answer as given below:

Q: Derive the transfer function º for the signal flow graph shown Figure 8. Y6 Y1 H, H H2 Y H4 5,

A: According to the question we have to find the value of the transfer function Y6/Y1.

Q: 36 For the poles shown on the s-planes in Figure 10.17, which will give rise to stable transients…

A: As your question has multiple parts , we will answer only one part of the question. If you want…

Q: QI(a): For a system that its forward transfer function is G(s) with a unity feedback, its required…

Q: Q3: A: Sketch the root locus plot of the system with OLTF given by: K S(s2+25+2)(S²+6S+10) G(S)H(S)…

A: “Since you have asked multiple questions, we will solve the first question for you. If youwant any…

Q: Transfer the circuit of the figure to the frequency domain and calculate: a) ?(?) =????(?)/????(?) ,…

A: It is straightforward to solve time domain differential equations in the S domain by utilising…

Concept explainers

Z parameter

The Z-parameters that are the impedance parameters of a two-port network are defined by expressing the two-port voltages V1 and V2 in terms of two-port currents I1 and I2. The Z-parameters are calculated by open circuiting one of the two ports at a time henceforth they are called open-circuit impedance parameters.

Question

Q12 only

Common data for Q11-Q13
Consider a system with the transfer function
G(s) = 1/(s +1)².
11)An integral controller Ge(s) = K1/s
gives one closed-loop pole at s = -a.
The value of KỊ is
-a? – 2a – 1
a² – 2a + 1
а3 — 2а? + а
-a³ – 2a?
a
12)Determine the value of a that maximizes the
integral gain.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps with 1 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, electrical-engineering and related others by exploring similar questions and additional content below.

Similar questions

An analog signal, with an absolute bandwidth of 10 KHz, is to be converted to a digital signal usingan A/D converter and stored in a PC. If the quantization error must be within ±0.05% of the peak-to-peakvalue of the analog signal, determine the storage requirement. Please assume that we are going to record 8seconds of data, sampled at 1.5 times the Nyquist rate.
Ex. 1780. A closed-loop system has sustained oscillations (i.e. constant amplitude) with a period of 85 seconds when the gains are: proportional=96, integral=0, and derivative=0. Determine the ideal- PID gains Kp, Ki (minutes^-1), Kd (minutes) using the Ziegler-Nichols method. Also determine the standard-PID values which are commonly used in industry, such as LabVIEW: Kc, Ti (min), Td (min). ans:6
Consider an analog-to-digital conversion (ADC) system with an ideal sampler, a uniform quantizer, and a binary encoder. The sampling rate is the same as the Nyquist sampling rate. The input signal to the uniform quantizer has an average power of 30 and an amplitude range of [-3,3]. The output signal-to-quantization-noise ratio (SQNR) of this uniform quantizer is 22.04 dB. The bit rate is 10 bits/second. What is the bandwidth of the input signal to this ADC system? 10 Hz 1.25 Hz 5 Hz 2.5 Hz
2) An analog signal Xa(t) = sin(480pit)+3sin(720pit) is sampled 600 times per second . a) determine the nyquist sampling rate for Xa(t) and the folding frequency ? b)what are the frequencies in radians, in the resulting discrete time signals x(n) ? c)if x(n) is passed through an ideal D/A converter , what is the reconstructed signal Ya(t) ?
Using 741 op amp, design a suitable circuit to generate Binary Phase Shift Keyiing(BFSK) modulator. Design should perform in such a way that the BFSK output should contain a frequency of f1=2kHz when message signal is low and f2 =4kHz when the message signal is high. Take the frequency of message signal as 200Hz. Draw the clear circuit diagram and calculate the values of resistors and capacitors used.
Write a sample transfer function for a stable system with a closed cycle transfer function of 3rd degree.• According to this transfer function, the system is stable with the "Routh Hurwitz" method.
Question 01: Check if the models below are observable and controllable. If any of the models is unobservable or uncontrollable, perform the conversion to a transfer function, and from the result of this conversion, justify why the model is uncontrollable or unobservable.
1. During the process of digital sampling, data can be lost due to aliasing.Analyse this problem and provide at least two possible solutions. Also,determine the rate at which a signal should be sampled, if the highestfrequency is 50MHz. (b) An 9-bit binary number is used to represent an analog value in the rangefrom -10oC to 100oC, determine the resolution of the system andinterprete your result.
Study the stability as a function of the gain k of the following system using Nyquist and Routh Hurwitz method
The channel capacity of a telephone line noiseless channel is 100 kbps with bandwidth (B-3 kHz). Find the following: --The value of M of the M-ary digital modulator -The new value of M that is needed to double the channel capacity. -The value of S/N ratio if the telephone line is considered as noisy channel.
Indicate which of the following signals can be sampled without any loss ofinformation? For signals that can be sampled properly, determine the minimum samplingrate that can be used.
1. What is the order of the RC filter transfer function? 3rd 2nd 4th 1st 2. Why are unity gain amplifiers used? To separate complicated chains in signal transmission into separate simple circuits To filter the signal To amplify the signal To “condition the signal” so there is no voltage dividers