Linear Differential Equations Solving using opamp

• Apr 3, 2007

• #1

RollingEEE

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op amp differential equation

Hi,

can you help me. Give me a circuit diagram using opamps and passive elements to solve for v(t)

d³v/dt³ + 2 d²v/dt² - 4 dv/dt + 2v = U(t)

where, the voltage U(t) is given though some generator.


initial conditions given:
v(t=0) = 0;
dv(t=0)/dt = -2
d²v/dt² = 3, at t=0

 

• Apr 5, 2007

• #2

C

caosl

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differential equations opamp

Maybe you can transform this time-domain differential equation to Laplace s-domain to obtain the system transfer function,ie.
U(s)/V(s)=s^3+2s^2-4s+2.
Now,the task you should carry out is to design a system to realize this TF using avtive circuits.
Best regards!
--san

 

• Apr 5, 2007

• #3

RollingEEE

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solving state-space differential equation

can you give me any example/tutorial for implementing such a circuit?

 

• Apr 6, 2007

• #4

L

leohart

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differential equations in op amp

find urself a linear ciruit analysis textbook

 

• Apr 6, 2007

• #5

D

drabos

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differential euation solve by opamp

you should make integrator, adder, subtract circuits from opamps.

 

• Apr 6, 2007

• #6

RollingEEE

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differential equations in operational amplifiers

leohart said:

find urself a linear ciruit analysis textbook

Click to expand...

ha ha very funny,
I have Hayt Kemmerly Durbin, Boylstad, Coughlin and Driscol

 

• Apr 6, 2007

• #7

L

lladnar23

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opamp solving equation

I think you have to do it with integrators, since differentiations are non-causal (i.e. you can't compute the derivative in real-time). If you can set the initial conditions, and have 3 integrators, it seems like it should be achievable. You should look up some books on analog computers

 

• Apr 7, 2007

• #8

antonio_eda

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op-amp laplace

Find something about analog computers. This is a very old story and well-known in 60s.

 

• Apr 8, 2007

• #9

N

nebisman

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circuit solving using 741

you should make a state space realization of this differential equation. With his relization you can implement it using only integrators , adders and inverting amplifiers. That's all.

I send you a brief notes about analog computation. I recomend a book for more insigth of this topic. The book is linear systems by Kailath.

 

• Apr 18, 2007

• #10

W

weiyi wang

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find differential equation op amp

very interesting!!

 

• Apr 24, 2007

• #11

E

e_eja

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op amp differential equations

one of analog filter technic is state equation that can be implemented using opamp, but you must transform tour equation into state space equation i think

 

• May 3, 2007

• #12

R

rfzheng

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state space op amp

switching capacitor circuit can easily abtain this function.

 

• May 14, 2007

• #13

D

damodar

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draw an op-amp circuit diagram for state space

hey take laplace transform of the equation ... u ll get s domain equation ...this eqation u write in std for n draw the coressponding passive component like capacitor for 1/s...etc u ll get idea of how circuit looks like..

 

• Jun 24, 2007

• #14

T

tabeees

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how to model an op amp in s domain

ah, how can I download that book <Fundamentals of the analog computer circuits, technology, and simulation>, I am interested in the idea of analog computation...

 

• Jun 26, 2007

• #15

V

venugopal_2k3

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how to solve differential equation using op amp

Just click on the "free mirror" option.

 

• Nov 26, 2012

• #16

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e_shadi

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Re: op amp differential equation

try this document

 

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• lab-53.pdf

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