How is a Compensator Realized in Practical Control Systems?

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Compensators in practical control systems can be realized through analog circuits or digital implementations. In analog systems, the compensator's transfer function can be matched using components like op-amps to achieve the desired gain and frequency response. Alternatively, in digital systems, the compensator can be converted to the Z-domain, allowing for a digital approximation of the analog transfer function. This approach enables the use of past sampled inputs to create a difference equation, which can be easily implemented in microcontrollers or FPGAs. Understanding these methods is crucial for effectively applying control theory in real-world scenarios.
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all these things that we learn in control systems...how are they applied in practical situations?
for example, we design compensators using bode plot or root locus and we get its transfer function. After that how is the compensator realized??
 
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It can be realized in an analog circuit that has the same gain and frequency response that your compensator has (same transfer function). Imagine your compensator transfer function has a DC gain of 60 and a pole at 2000 Hz. You can design an opamp filter with this same transfer function.

Another route taken is to convert your compensator in the Z-domain with a digital approximation of your analog transfer function. With the z-domain and the mapped transfer function, you can obtain a function that uses past sampled inputs (negative feedback) to arrive at a simple difference equation that is easily implemented in a digital system like a microcontroller or FPGA.
 
thanks..that is really helpful!
 
I am trying to understand how transferring electric from the powerplant to my house is more effective using high voltage. The suggested explanation that the current is equal to the power supply divided by the voltage, and hence higher voltage leads to lower current and as a result to a lower power loss on the conductives is very confusing me. I know that the current is determined by the voltage and the resistance, and not by a power capability - which defines a limit to the allowable...

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