Number 10 328i. A constant magnitude of 0 dB.ii. A phase lag of -573°.A. (i) T (ii) TB. (i) T (ii) FC. (i) F (ii) TD. (i) F (ii) F5. The steady-state error for a step input with a proportional control system is, when steady-state conditionsoccur:A. The magnitude of the final outputB. The error input to the controllerC. The initial size of the step inputD. The difference between the final output and the step input.6. A proportional controller of gain K is used with a system with a transfer function 4/(2s + 1) and a unitynegative feedback loop. The closed-loop transfer function is:A. 4K/(2s + 1)B. 4K/(2s + 5)C. K(2s +1)/413. CONTROL SYSTEMSD. 4K(2-3)7. A closed-loop control system has a PID controller with transfer function Kp + (K₁/s) + Kas and is used with aprocess having a transfer function of 10/(s+5)(s + 10). If the system has unity feedback, what is the transferfunction of the closed-loop system?8. A closed-loop control system has unity feedback and a plant with transfer function 100/[s(s+ 0.1s)(1+0.2s)].By drawing the Bode diagrams, determine the phase margin when the following controllers are used: (i) aproportional controller with transfer function 1, (ii) a PD controller with transfer function 1+0.5s.9. Figure 13.45 shows a liquid level control system and its representation by a block diagram. Determine theway the output will vary with time if the controller is (i) proportional only with a proportional gain of 2, (ii)integral only with an integral gain of 2.10. For the system shown in Figure 13.45, what will be the steady-state error for a unit step input if the controlleris (i) only proportional with a gain 1, (ii) PI with a gain 1?11. What is the sampled output from a sampler with an analog input of f(t) = 2t when there is a sampling periodof 1 s?12. What is the z-transform for a sampling period of 1 s for samples taken of f(t) = e-2¹??13. What is the z-transform for a sampling period of 1 s for samples taken from the function f(t) = t?14. Determine the sequence of impulses given by the inverse z-transform of z/(2²-3z + 2).15. What is the output from a system consisting of a sampler with a sampling time of 1 s and a zero-order holdin series with a unit having the transfer functionValvewhen subject to a unit impulse?16. Explain the use of the CAN bus in automobiles and how it is possible for more than one control element toput messages on the control bus without chaos occurring.FIGURE 13.45 Problems 9 and 10./11\Controller1s(s+1)Levelmeasurement0.2Controller s + 0.5INSTRUMENTATION AND CONTROL SYSTEMS+The followirthe answers2CLBBSensor, sig1.See sectionagreed levcondition:measuren& See Sectic9. See SecticOnly give1. In 1 year,2 (a) 9 mm13.5%LCLB3. A4.C5.BLAL.B

Given data Input is unit step, rt=ut Open loop transfer function; Gs=0.2s+0.5 Feedback gain; Hs=1 To…

gain 10. For the system shown in Figure 13.45, what will be the steady-state error for a unit step input if the controller is (i) only proportional with a gain 1, (ii) PI with a gain 1? 11. What is the sampled output from a sampler with an analog input of f(t) = 2t when there is a sampling period of 1 s? 12. What is the z-transform for a sampling period of 1 s for samples taken of f(t)=e-21?? 13. What is the z-transform for a sampling period of 1 s for samples taken from the function f(t) = ? 14. Determine the sequence of impulses given by the inverse z-transform of z/(2²-3z + 2). 15. What is the output from a system consisting of a sampler with a sampling time of 1 s and a zero-order hold in series with a unit having the transfer function when subject to a unit impulse? 16. Explain the use of the CAN bus in automobiles and how it is possible for more than one control element to put messages on the control bus without chaos occurring. Valve IGURE 13.45 Problems 9 and 10. Controller 1 s(s + 1) Level measurement 0.2 Controllers +0.5