Consider the inverting operational amplifier in figure ap29, English

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Consider the inverting operational amplifier in figure ap29

Consider the inverting operational amplifier in Figure AP2.9. Find the transfer function V_o(s)/V_i(s). Show that the transfer function can be expressed as

Where the gains K_P, K_I and K_D are functions of C₁, C₂, R₁, and R₂, This circuit is a proportional-integral-derivative (PID) controller (more on PID controllers in Chapter 7).

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