Asked by soko loko
on 19 Dec 2013

Hi:

I'm trying to figure out how exactly the integrator block (Simulink) works, I mean, How can be calculated manually? (e.g. if a ramp signal is integrated, a parabola is obtained)

Thanks.

Answer by Andreas Goser
on 19 Dec 2013

Answer by ES
on 19 Dec 2013

soko loko
on 20 Dec 2013

ES
on 20 Dec 2013

You dont need an equation to integrate. As I said before, integration is merely area under curve. suppose your sample time is 0.1 seconds, so your time signal is [0,0.1,0.2,0.3,0.4,...]. Your Actual Signal may be [0,4,2.3,-3.4,3,...]. corresponding to the time values defined above. lets assume t1=time[0]=0; t2=time[0]=0.1; dt=t2-t1=0.1; signal has changed from 0.4 t0 2.3. This region is almost a trapezoid. area under this curve is a the area of trapezium within these lines(x=0 [for y-axis or t1=0],y=0[for x-axis], x=0.1 [for t2=0.1] and y=mx+c where m=2.3/0.4 indicating slope].. Thus the total area is calculated as an summation of such tiny areas.

Now what I have described above is simple, it is called trapezoidal integration. The normal integration is similar in concept but more continuous and more generic.

soko loko
on 20 Dec 2013

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