virtual ground summing amplifier integrator …...Op-amp Integrator Circuit Vin -Vout We know from...

16
Phys 3330 Lecture 6 virtual ground summing amplifier integrator differentiator PID controller

Transcript of virtual ground summing amplifier integrator …...Op-amp Integrator Circuit Vin -Vout We know from...

Page 1: virtual ground summing amplifier integrator …...Op-amp Integrator Circuit Vin -Vout We know from first principals that the voltage on the plates of a capacitor is equal to the charge

Phys3330Lecture6

•  virtualground•  summingamplifier•  integrator•  differentiator•  PIDcontroller

Page 2: virtual ground summing amplifier integrator …...Op-amp Integrator Circuit Vin -Vout We know from first principals that the voltage on the plates of a capacitor is equal to the charge

virtualground

Page 3: virtual ground summing amplifier integrator …...Op-amp Integrator Circuit Vin -Vout We know from first principals that the voltage on the plates of a capacitor is equal to the charge

virtualground

V≈0()

Page 4: virtual ground summing amplifier integrator …...Op-amp Integrator Circuit Vin -Vout We know from first principals that the voltage on the plates of a capacitor is equal to the charge

whyisvirtualgrounduseful?

I=Vin/R1=-Vout/Rf

Page 5: virtual ground summing amplifier integrator …...Op-amp Integrator Circuit Vin -Vout We know from first principals that the voltage on the plates of a capacitor is equal to the charge

summingamplifier

Page 6: virtual ground summing amplifier integrator …...Op-amp Integrator Circuit Vin -Vout We know from first principals that the voltage on the plates of a capacitor is equal to the charge

summingamplifier

Page 7: virtual ground summing amplifier integrator …...Op-amp Integrator Circuit Vin -Vout We know from first principals that the voltage on the plates of a capacitor is equal to the charge

summingamplifierwithscaling

Page 8: virtual ground summing amplifier integrator …...Op-amp Integrator Circuit Vin -Vout We know from first principals that the voltage on the plates of a capacitor is equal to the charge

summingamplifierwithscaling

(R1sintheratio1,2,4,8)

Page 9: virtual ground summing amplifier integrator …...Op-amp Integrator Circuit Vin -Vout We know from first principals that the voltage on the plates of a capacitor is equal to the charge

opampintegrator

Page 10: virtual ground summing amplifier integrator …...Op-amp Integrator Circuit Vin -Vout We know from first principals that the voltage on the plates of a capacitor is equal to the charge

integratorsignals

Page 11: virtual ground summing amplifier integrator …...Op-amp Integrator Circuit Vin -Vout We know from first principals that the voltage on the plates of a capacitor is equal to the charge

integratorwithbypassresistor

Page 12: virtual ground summing amplifier integrator …...Op-amp Integrator Circuit Vin -Vout We know from first principals that the voltage on the plates of a capacitor is equal to the charge

opampdifferentiator

Page 13: virtual ground summing amplifier integrator …...Op-amp Integrator Circuit Vin -Vout We know from first principals that the voltage on the plates of a capacitor is equal to the charge

differentiatorsignals

Page 14: virtual ground summing amplifier integrator …...Op-amp Integrator Circuit Vin -Vout We know from first principals that the voltage on the plates of a capacitor is equal to the charge

proportional/integral/differential(PID)controller

Page 15: virtual ground summing amplifier integrator …...Op-amp Integrator Circuit Vin -Vout We know from first principals that the voltage on the plates of a capacitor is equal to the charge
Page 16: virtual ground summing amplifier integrator …...Op-amp Integrator Circuit Vin -Vout We know from first principals that the voltage on the plates of a capacitor is equal to the charge

proportional/integral/differential(PID)controller