CONTROL SYSTEM ( NEED ONLY HANDWRITTEN SOLUTION PLEASE OTHERWISE DOWNVOTE)
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CONTROL SYSTEM ( NEED ONLY HANDWRITTEN SOLUTION PLEASE OTHERWISE DOWNVOTE).
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- Consider the unity feedback control system in Figure where L(s)=Gc(s)G(s)=K(s)(s+4) For an underdamped response, the design specifications for a reference unit step inputs are: i. Peak time Tp=1.0 ii. Percent overshoot P.O.≤%10 Calculate the value ofKfor each design specification separately. Do not forget to make comments about the design parametersProblem 2 onsider the feedback system in Figure B2 C(s) G(s) Figure B2 where 1 C(s) = G(s) = (s+2)(s+3) and k is a positive gain. - Plot the root locus for this particular closed-loop system, and describe how the stability of the system and the transient responses are likely to vary for different ranges of the controller's gain k.Chose True or False * True False If a system is subjected to step input, the type of static error coefficient performs the function of controlling steady state error is position. If a type 1 system is subjected to parabolic input, the value of steady state error will be zero . The elements of rotational motion are the Mass, Spring, Friction. the notation represents the feedback path in closed loop system is c(t). The output signal is fed back at the input side from the Summing point. In an integral controller the output is proportional to integral of input. Two loops are said to be non- touching only if no common Branch exists between them. In block diagram representation, the lines connecting the blocks, known as branches. Order of the system can be determined from the e forward path transfer function of the system. A system with transfer function 1/Ts+1, subjected to a unit step input to reach 63.2% of final value, The value of t is T/2.
- QI. Choose the correct answer 1. Which among the following is not an advantage of an open loop system? a. Simplicity in construction & design b. Easy maintenance c. Rare problems of stability d. Requirement of system recalibration from time to time 2. Which notation represents the feedback path in closed loop system representation? a. b(t) b. c(t) c. e(t) d. r(t) 3. Which among the following represents an illustration of closed loop system? a. Automatic washing machine b. Automatic electric iron c. Bread toaster d. Electric hand drier 4. Transfer function of the system is defined as the ratio of Laplace output to Laplace input considering initial conditions a) 1 b) 2 c) 0 d) infinite 5. Feedback can always reduce the effects of noise and disturbance on system performance? a) True b) False 6. Which among the following is not an advantage of an open loop system? a. Simplicity in construction & design b. Easy maintenance c. Rare problems of stability d. Requirement of system recalibration…4. In this problem, the plant G(s) given is in the feedback loop from Problem 3 with controller K(s). For this problem, you will choose the parameters a, b, and c of K(s) to design the controller. The goals are to use pole/zero cancellation to cancel the pole of G(s) and to set the poles of the closed loop system Ga(s) to -3+ j3. Use any method we have learned in class, but show your steps in determining K(s). As part of the problem, find the closed loop system Ga(s). Identify the poles, zeros, and low frequency gain of Ga(s) to verify your design. 2s + a K(s) = 3 G(s) = %3! 2+ bs + e 8+8Hello, please solve this question , Greetings Q1. Choose the correct answer 1. Which among the following is not an advantage of an open loop system? a. Simplicity in construction & design b. Easy maintenance c. Rare problems of stability d. Requirement of system recalibration from time to time 2. Which notation represents the feedback path in closed loop system representation? a. b(t) b. c(t) c. e(t) d. r(t) 3. Which among the following represents an illustration of closed loop system? a. Automatic washing machine b. Automatic electric iron c. Bread toaster d. Electric hand drier 4. Transfer function of the system is defined as the ratio of Laplace output to Laplace input considering initial conditions________ a) 1 b) 2 c) 0 d) infinite Feedback can always reduce the effects of noise and disturbance on system performance? a) True b) False 6. Which among the following is not an advantage of an open loop system? a. Simplicity in construction & design b. Easy…
- below is the representation of a linear control system in the state space.a) examine the controllability and observability of this systemb) estimate the unit digit response by finding the current eigenvalues of this systemC) find the feedback Matrix K= (k1 k2) that must be applied so that the system can be a two - layer root in-2Which of the following are the characteristics of the closed loop systems?Immersive Reader () 1- It does not compensate for disturbance 2-It reduces the sensitivity of plant-parameter variations 3-It does not involve output measurements 4-It does not has the ability to control the system transient responsea) Consider the feedback system in Figure Q4 with controller G (s)=- and plant s+a 100 G,(s)=- s+25 Specify K and a of G,(s) such that the overall closed-loop response to a unity step reference input has a maximum percentage overshoot (%OS) of 25% and a 1% settling time of 0.1sec. [Hint: use the approximate relationship %OS = 1 x100% ] 0.6 b) To make the steady-state error to a unit step reference input zero, add an integrator to K. the controller of Q4a, i.e. G,(s)=- Assuming that a has the value derived in s(s+a) Q4a do the following: (0 Draw the root-locus of the closed-loop system, as K takes all positive real values, by computing the locus on the real axis, the angles of asymptotes, the point of intersection of the asymptotes with the real axis and the break points. Show clearly with arrows the direction of the loci. (ii) Find the value of K so the closed-loop system becomes marginally stable. In that case compute the points of intersection of the loci with the imaginary axis.…
- Consider the feedback control system; It is required that the system has 16% overshoot to a unit step input and ess = 0.2 steady state error to a unit ramp input. Calculate the values of K1 and Kf such that these specifications are met.below is the representation of a linear control system in the state space.a) estimate the unit digit response by finding the current eigenvalues of this systemb) find the feedback Matrix K= (k1 k2) that must be applied so that the system can be a two - layer root in-2Q8 Figure Q8 shows a plant of transfer function G(s) to be operated in closed-loop, with unity negative feedback, where the controller is a simple gain factor K-4, and G(s)-- R E 2 s²+7s+2 controller U. G(s) Figure Q8 (a) Obtain poles of this closed-loop system and determine if this system is stable. (b) Use Routh test to determine range of the controller gain factor K values that would make this closed loop system stable. (c) Formulate Nyquist stability criterion and discuss how this criterion can be used to determine stability of the closed-loop system shown in Figure Q8