( u(t) \) is expressed as: \[ u(t) = K_p e(t) + K_i \int e(t) dt + K_d \frac{de(t)}{dt} \] where \( K_p \), \( K_i \), and \( K_d \) are the tuning parameters. Why PID? PID controllers are valued for their simplicity, robustness, and effectiveness across various a
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