The transfer function of a system is the ratio between _________________ and ____________ in Laplace transform. a. Output and Input b. Input and Output c. Input and Feedback d. Output and Feedback
Q: The Laplace transform of ft.cos 4t
A: Laplace of cos4t =ss2+16
Q: Q4. (15') A system has a characteristic equation s +4s² + (K +2)s +8= 0 Using Routh stability…
A: The characteristic equation is given as s3+4s2+K+2s+8=0
Q: Consider a proportional controller whose transfer function is 15 and its reference value is 50% of…
A: Given : G(s) = 15 To find : Controller output
Q: Homework: For a unity feedback system with the forward transfer function: K(s + 20) s(s + 2)(s+3)…
A: G(s)=K(s+20)S(S+2)(S+3)H(s)=1T.F=G(s)1+(G(s).H(s)=G(s)1+G(s)=K(S+20)S(S+2)(S+3)+K(S+20) The…
Q: 7. What is the response to unit step function input when all initial conditions are zero. S(S + 3)…
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Q: Which controller has no offset ? O a. Proportional derivative O b. Derivative Oc Proportional Od.…
A: Offset is resdual error and is generated because of errors tuned with first order process. They…
Q: hown obtain the transfer function assuming th displacement x2 as the output. k2 lell J. R
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Q: For the liquid level control system given below, the input is q,(t) and the output is h3(t) then…
A: Process Control System- Process control is the main part of any industry to process, monitor, and…
Q: The close loop system block diagram is given below .Find the transfer function of the given system.…
A: Let us discuss transfer function of given close loop system.
Q: response is the response of a system after the transient response.
A: Let us discuss about response of system after transient response.
Q: For the following control system: K r(t) s(s+2) y(t) s+6 (a) Find the closed loop transfer function…
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Q: Table Q2 shows the comparison of the open loop and closed loop characteristic. Fill in the basic…
A: Open Loop and Closed Loop systems are used in control systems for performing certain tasks. Open…
Q: Evaluation of a system's error i. A unity feedback system has the following forward transfer…
A: To find the value of gain K to yield a 15% error in the steady state?Please find the answer below
Q: X) 3. Settling time is the time required for the response to rise from (0% to 100%) of its final…
A: (3) Settling time is the time required for the response to rise from 0 to 10%. Therefore, the given…
Q: An object is in simple harmonic motion . The angular acceleration is 5 rad/s2 . When the angular…
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Q: A Block diagram of a feedback control system is shown in Figure Q3. Using the Block Diagram…
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Q: 1) Consider the system below: Vehicle Controller Steering dynamics Desired Actual bearing angle…
A: As per our policy we can provide solution to first three questions only.
Q: For the following closed loop control system, the characteristic polynomial is: s5+ 5s4 + 10s3 +…
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Q: 4- A system with state matrix A = is in - a- critical damped b- under damped e- over damped d-…
A: Solution:
Q: Routh-Hurwitz criterion determines:
A: Correct answer is D
Q: A vibrating spring-mass system has the feedback control system shown in Fig Q3 below. (figure…
A: Given, K=12.25 Gs=Kss+2
Q: Which of the following gate will have high output if at least any one input is high ?. a. NAND Gate…
A: Given Statement: Which of the following gate will have high output if at least any one input is…
Q: The close loop system block diagram is given below .Find the transfer function of the given system.…
A: It is required to find transfer function
Q: If a system transfer function has two complex roots in the denominator, it is described as: being…
A: Le us discuss transfer function with two complex roots in denominator.
Q: The armature current of a de machine is controlled with a feedback loop. The following is known…
A: ans
Q: In the example on the pages 29 30, the system will be stable if 0<T <0.2. What are the mathematical…
A: Given Control system To find Mathematical tools for calculation in the range of 0<T<0.2
Q: ith the tran he expected steady state errors f
A: Introduction Consistent state blunder is characterized as the distinction between the information…
Q: A position system is modeled by an ODE: d'x(t) dt dx(t) + 13x(t) = u(t) Compute the Laplace…
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Q: The time taken to attain the response within + 2% of the steady state value is known as O a.…
A: Settling time: Settling time is a time require for a response to become steady. It is defined as…
Q: Selecting the new closed-loop poles in a location where the dominant closed- loop poles are located…
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Q: Using the Routh-Hurwitz stability criterion, determine the stability of a system whose…
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Q: The open loop transfer function of a unity feedback system is given by G(s): (s+1)…
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Q: 2. x(t) = sin2t (e5t) y(t) = D³ + 3D² +3D1 +1 Determine: a) Laplace Transform of x(t) b) Laplace…
A: Since you have posted a question with multiple sub-parts, we will solve the first three subparts for…
Q: 2) Described the advantages of feedback control. And what are the potenti: Irawbacks of feedback?
A: Feedback control system
Q: Determine the settling time of the system having the transfer function O Tg = 0.1250 s O Tg = 0.4890…
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Q: The feedback signal of the following system is, Z(s)=.
A: From the figure we write the relationship between the blocks and solve.
Q: QUESTION 1 A vertical vibrating system of 5 kg of mass and 500 N/m of spring stiffness is critically…
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Q: Vector loop method.
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Q: (a) What is the definition of transfer function? (b) Describe the definition of open loop and closed…
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Q: Is linear impulse a vector quantity?
A: in mathematical terms impulse is defined as = F x dt where F = force and dt = time period
Q: K(s+1) Q2: Given the unity feedback system with G(s) = s(s+2)(s+3)(s+4) Do the following: a). Sketch…
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Q: A discrete time system has transfer function H(z). If H(0) = 0 there is a zero in z = ∞. Select one:…
A: For given transfer function if order of numerator is greater than denominator then poles will be…
Q: The denominator roots of a transfer function G(s) could be distinct, repeated or complex. What is…
A: Solution:
Q: The ratio of output to input of a system in Laplace domain is known as Transfer function . Select…
A: Laplace transform is used to convert complex variables into common functions. Laplace Transform is…
Q: The close loop system block diagram is given below .Find the transfer function of the given system.
A: From the given block diagram we need write the relationship between blocks to find the transfer…
Q: 1.151s +0.1774 +0.739s' +0.921s
A: P(s) = 1.51 s + 0.1774s3+ 0.739 s2+ 0.921 s Characteristics equation = s3+ 0.739 s2+ 0.921 s= 0 ----…
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- For a unity negative feedback control system having an open-loop transfer function, G(s) as given below. Find out the value of "K" such that the system will be in the stable region. (K/s) (s3 + 12. 5s2 + 50. 5s + 66) G(s) =The Gilles & Retzbach model of a distillation column, the system model includes the dynamics of a boiler, is driven by the inputs of steam flow and the flow rate of the vapour side stream, and the measurements are the temperature changes at two different locations along the column. The state space model is given by: x = 0 00 -30.3 0.00012 -6.02 0 0 0 -3.77 00 0 -2.80 0 0 Is the system?: a. unstable b. C. not unstable x+ 6.15 0 0 0 0 3.04 0 0.052 not asymptotically stable d. asymptotically stable -1 u y = 0 0 0 0 -7.3 0 0 -25.0 X1. Give an example of open loop and closed loop system (one example each). Also state the input, control system, feedback and output parameter. Example. 1. Open Loop - Water Heater: Input - Water Temperature (Cold) System - Heating Element Output - Water Temperature (Hot) 2. Closed Loop - Air-conditioning System Input - Desired Room Temperature Control - Motor controller/Compressor/ACU Feedback - Temperature Sensing Output - Room Temperature
- a)is the aircraft stable about the equilibrium represented by the transfer function? b) Using proportional feedback,what is the range of acceptable gains for the closed loop systen to be stable? c) Design a feedback control system that allows the pilot to command a pitch angle with overshoot less than or equal to 4.15% and a natural frequency of greater than or equal to 0.99 rad/s d) Design a feedback control system that allows the pilot to command a pitch angle with the same overshoot and a natural frequency of one half the system in part c.2. The state-equations of the control system shown in Fig.1 is: U(s) 2 Y(s) s(s? + 3s + 12)b) Closed-loop transfer function of a unity-feedback system is given by Y(s) / R(s)=1/(ts+1) .Discuss steady-state error for positional, velocity, and acceleration input?
- Application on first-order ODE6. The figure below represents a time response of a control system. y(r) 0.63 What is it? a) Unit-step response of a Prototype First-Order System; b) Unit-Impulse Response of a Prototype First-Order System; c) Unit-Step Response of a Prototype Second-Order System; d) Unit-Impulse Response of a Prototype Second-Order System.öalg äbäi The closed-loop system transfer function of a control system is given by the following figure, for unit step input what is the * ?output 2(s – 2) R(s) (s +2)(s + 1) c(s) | %D a- -1+e-2t – e-t b- -1 – e-2t + e-t c- -1 + 4e-2t – 3e-t d- -1 – 4e-2t + 3e¬t a d
- 2- Using Matlab, what are the step response curves of the closed-loop system, as shown in fig.1. the feedback represents the second-order dynamic system. (fill in the following table) For=0.4 Wn 1 3 6 9 10 R(S) 0.1 0.3 0.6 0.9 1 For w 5 rad/sec 3 Settling time Peak response 2 Wn s(s+23wn) Settling time Peak response C(s) Discuss the follow Which parameters or w occur on the rise time of the response? Which parameter increases the speed of response? Which parameters can be decreases the response amplitude? Which parameter decreases the steady error state? fig.2Question 4 a) A control engineer has modelled the suspension system of a new model car using a 2nd order differential equation. Using Laplace Transform, the engineer has managed to work out the transfer function, which is given below: 0.001 s2 + 12s+81 What is the natural frequency, the damping ratio and the constant K of the system? Please show all calculations. b) The same engineer has studied the suspension system of a SUV vehicle and modelled it using again a 2nd order differential equation, which has resulted into the following 2nd order transfer function: Y(s) 32 U(s) 4s² +8s + 16 For this system first calculate the damping ratio and its natural frequency and state whether the system is underdamped, overdamped or critically damped. Then calculate the peak time, peak value, settling time and damped natural frequency of the system.As the control engineer on a project you are given the following information: a) The free body diagram representation of a mechanical system with the various values for the damper, spring and mass. The transfer function for the system is also provided. 28 N/m -x(1) 1 G(s): - f(1) s? +s+5.6 5 kg 5 N-s/m b) The step response plot for the system. Step Response 0.14 0.12 0.1 0.08 0.06 0.04 0.02 10 Time (sec) Your task is to analyse the system and to confirm that the diagram is for the system in a) i.e. calculate all time responses and compare your answers with the data in the graph. apnadu