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Hello, friends.

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Good day.

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We discussed how to present a differential equation model in live you for that purpose.

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I have a set in order differential function.

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You see why we were dispute here?

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Why is it function?

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It depends on time.

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That's f the time.

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Lastly, even by the way of the divide, last loyalty is quite clear.

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And here FP is a forcing function.

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Or you say force.

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So we can solve this equation by always just one by using this eye as you see or hear the second order

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equation.

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So in order part is on the left side and this one is on the right side.

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So minus three D, minus two white plus two year.

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So this is my equation.

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Now you have to just integrate this all this equation or to solve the Y in this equation that will integrate

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this function.

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So hold that clockwise.

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I just go to my left, you little diagram window.

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As you see here, Glen.

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Dorothy.

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So over here in the control line simulation, you have to install this blue box inverse system control

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and simulation tool box before attempting this.

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So I go to simulation and over here I have a controller and simulation in this function.

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So I just drag and drop this.

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And I just, again, go to this function.

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I lock it in the signal generation.

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I just use a simple step signal.

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As you see

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now, I just use.

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Gain more hair.

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This is my gain.

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Okay.

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And you can configure it also if you want to change the game value in real time.

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So I just make it

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so connected and over here and you see and I would control Edge again that I'm going to lose over.

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Yes.

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I remove the label.

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So label is one get control.

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So here, this is my gain.

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Then you have to use some block because we have to sum up and in this case I need three some mission.

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So I do see how I change this.

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You have to just like right now, it is minus on it.

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Right now it is plus.

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So now, as you see in the differential equation, we have to add these functions.

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Okay.

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So for that purposes, I'm just using integrator in the continuous linear system.

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I got linear.

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So I just use one in eight over here and I just copy again this integrator or here.

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Now you have to just multiply this function.

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So I just copy this gain.

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Just delete this and change.

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He was that, ah, you know, I just delivered this and complete this function.

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So now just connect this.

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So over here.

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Integration.

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Deeper home integration.

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Now you have to just put this.

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Or here.

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And some this

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again you have to over here just drag and drop the function in the controller simulation, simulation,

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the graph and utilities or here this is sine graph.

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This

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and this function.

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Comes from here to.

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Or here.

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Okay, so this is how we can create a situation.

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Let's say over here, this is my b square y you wait.

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Now, after integration, it will become divided by duty.

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And again, after integration, it becomes white.

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So over here we get the issue.

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So right now, I just create control for this again.

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Create control for this.

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So these are my gain.

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Now, I guess to minimize the space control you.

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Until you.

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So my system becomes like this and or here, this is my game.

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These are the different values.

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So I have to put these values from the equation.

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So right now, as you see.

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From here.

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In the differential equation, we have to put the F minus two and minus three.

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So this value is my three.

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This value that is gained to this is minus three.

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And this was Louise minus two.

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So I just put on the same order.

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On the same order.

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Like minus three.

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Minus three.

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So minus three.

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Minus two and three.

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Okay.

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So I know you don't become a see.

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You can check out the result.

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It will take some time.

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As you see, the response is there.

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So when on the alternate day when I just use a transfer function.

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So in the controller and simulation, again, controller and simulation or here in the nonlinear part,

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what you are doing in your part, we have a console function.

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So as you see in this case, you console using this yesterday using integration, or you can directly

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use this thrust on this last moment.

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Some comes from this equation with the initial condition zero.

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It is the Laplace transform of this bar.

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So I just got this part in the in this function.

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So I just put the as you see, three divided by two plus three

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is e is two already six is different.

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So two and a half one.

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So as you see, three or squared plus three plus two, three, four squared plus 2s3 plus two.

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So I got this function.

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So you have to apply your input signal.

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Let's see these simple steps signal.

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And I am just drag and drop this value over here.

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I'm just learning the graph.

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You.

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The chart is indeed operation.

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So I'll just connect this.

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So then you hit on run button, which just

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you can check out the result in both the graphs.

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So over here

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as you see the difference.

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So and I put this in my gain is three it is three f okay.

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So over here let's say I put minus two and S and minus three and this and check out the result is same.

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So minus two and minus three.

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So as you see in the real time, also, I am making two continuous one.

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So when I increase the gain, you can check out the result in real time.

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Also, how differential equation behaves.

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So or here

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this is the same response is the same transfer right now across can all of this and also some of this

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part a same I do see.

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So this is how you can create your differential equation in lab view using control in simulation toolbox.

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Thank you.