By John Billingsley
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Extra resources for Essentials of Control Techniques and Theory
For now we will ignore this and set a to zero. So now we need to set up a believable simulation that will show us the result of any feedback that we may apply. The feedback will involve making the input depend on the position and velocity, or maybe just on the position alone if we have no velocity signal available. htm. On the screen you will see a block moved along a “belt” by the code: u= -2*x-5v; v = v + u*dt; x = x + v*dt; and you will see that it is rather slow to settle. Change the first line to u= -20*x-5*v; and it settles much more quickly.
The gain of a virtual-earth amplifier is deduced by assuming that the feedback succeeds always in maintaining the summing junction very close to the analog ground, and by assuming that no input current is taken by the chip itself. 7 Construction of an integrator. feedback current of an integrator is then C dv/dt, where v is the output voltage. The input current is vin/R, and so: C dV 1 + v in = 0. 1 second. If instead the resistor R is doubled to 200 kilohms the time constant will also be doubled.
Indb 29 10/12/09 1:41:12 PM 30 ◾ Essentials of Control Techniques and Theory in other words, it is run as computer code. It is used to initialize variables and parameters, to set or change the step-length, and to initialize and scale the graphics window. The code in the second window is then run repeatedly, each time advancing the simulation by time dt and plotting the results on a graphics applet or moving images around the screen. By clicking “buttons” on the page, inputs and parameters can be changed during the running of the model.
Essentials of Control Techniques and Theory by John Billingsley