An operational-amplifier circuit that may be used as a controller is shown inFigure Qla.(a)R4wwR1R3eCoFigure QlaR1, R2, R3 and R4 are resistors and C1 and C2 are capacitors. Assume bothop-amps are ideal and their input/output voltages are ei, e and eo, as shown inthe Figure. Using the impedance approach:(i)obtain the transfer function for each op-amp, i.e. E(s)/E:(s) andEo(s)/E(s).(ii)hence obtain the complete transfer function for the system, i.e.Eo(s)/Ei(s).(iii)Determine D(s) = Eo(s)/E:(s) when R1 = R2 = R3 = R4 = 1 N andC1=1 F, C2= 2 F.%3D(b)Consider the closed-loop control system shown in Figure Qlb.1ΣK.D(s)(s +2)Figure QlbK is the gain and D(s) is the transfer function obtained in part (a)-iii.(i)Plot open loop zeros and poles for the above system in the s-plane. [.Determine whether the point (-1+j) is a closed loop pole for any valueof K, by considering the angle criterion at this point.(ii)(c)Briefly summarise the steps, which need to be taken to linearise a nonlinearsystem.

Operation amplifiers are connected as shown in the figure. Transfer function is define the ratio of…

An operational-amplifier circuit that may be used as a controller is shown in Figure Qla. (a) C R4 ww. R2 ww ww R1 R3 e Figure Qla R1, R2, R3 and R4 are resistors and Cl and C2 are capacitors. Assume both op-amps are ideal and their input/output voltages are ei, e and eo, as shown in the Figure. Using the impedance approach: obtain the transfer function for each op-amp, i.e. E(s)/E:(s) and Eo(s)/E(s). (i) hence obtain the complete transfer function for the system, i.e. Eo(s)/E:(s). (ii) (iii) Determine D(s) = E.(s)/E:(s) when Ri = R2 = R3 = R4 = 1N and C1 = 1 F, C2= 2 F. (b) Consider the closed-loop control system shown in Figure Qlb. K.D(s) (s+2) Figure Qlb K is the gain and D(s) is the transfer function obtained in part (a)-iii. (i) Plot open loop zeros and poles for the above system in the s-plane. [". (ii) Determine whether the point (-1+j) is a closed loop pole for any value of K, by considering the angle criterion at this point.

An operational-amplifier circuit that may be used as a controller is shown in Figure Qla. (a) C R4 ww. R2 ww ww R1 R3 e Figure Qla R1, R2, R3 and R4 are resistors and Cl and C2 are capacitors. Assume both op-amps are ideal and their input/output voltages are ei, e and eo, as shown in the Figure. Using the impedance approach: obtain the transfer function for each op-amp, i.e. E(s)/E:(s) and Eo(s)/E(s). (i) hence obtain the complete transfer function for the system, i.e. Eo(s)/E:(s). (ii) (iii) Determine D(s) = E.(s)/E:(s) when Ri = R2 = R3 = R4 = 1N and C1 = 1 F, C2= 2 F. (b) Consider the closed-loop control system shown in Figure Qlb. K.D(s) (s+2) Figure Qlb K is the gain and D(s) is the transfer function obtained in part (a)-iii. (i) Plot open loop zeros and poles for the above system in the s-plane. [". (ii) Determine whether the point (-1+j) is a closed loop pole for any value of K, by considering the angle criterion at this point.

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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