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Re: poles and zeros
You are talking about a topic called power electronics system modeling. Transfer function ca be obtained in easy way for a Buck converter, basically the transfer function is the same as the RLC resonant circuit used as low pass filter for the square wave of PWM generation...
pid for heater control
I recommend you to set the power (open loop fashion) for reach the steady atate temperature that you want to hold in closed loop. To say it, you need about 50 % pwm for a temperature of 50ºC. When the steady state has been reached you apply a low level step change (say...
The gcc compatibility of AVR microcontrollers place them over the PIC micros. I think that the gnu software for realize application based in this iC are of very high level. The architecture is really nice, modern, and powerfull.
you need to reset abnd adjust periodically the integration constantas by using another position sensor, The advantaje is that this position sensor can be one point sensing device.
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...
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