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--- what_is_pid_control [2025/05/12 11:27] – created arim
+++ what_is_pid_control [2025/05/12 15:29] (current) – arim
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-**What is PID control**
+====== What is PID control ======
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-**PID Contorl**
+**PID Control**
-\\ (photo)
+\\ {{ :pid_block_diagram.jpg?direct&400 |}}
+\\ {{ :pid_waveform.png?direct&400 |}}
+\\ - A feedback-based control loop that compares the actual value with the target value.
 \\ - Combining the Proportional, Integral, and Derivative components, PID control reduces the system's error to make the output reach the set point and maintain that sate effectively.
+\\ - u(t) = {Kp x e(t)} + {Ki x ∫e(𝜏)d𝜏} + {Kd x de(t)/dt}
+\\ - u(t): control signal
+\\ - e(t) = Set point - process variable
+\\ - Kp: Proportional gain, Ki: Integral gain, Kd: Derivative gain
+\\
 \\
 **(i) Proportional**
-\\ (photo)
+\\ {{ :p_control.jpg?direct&400 |}}
-Click the <span style="color:blue;">Place Component</span> icon at the top right corner to load the necessary components and build the circuit.
+\\ - The error is corrected in proportion to its current magnitude.
+\\ - P control output = Kp x Error
+\\ - If Kp is too large, overshoot and oscillation may occur.
+\\
+\\
+**(ii) Integral**
+\\ {{ :i_control.jpg?direct&400 |}}
+\\ - The error is corrected by considering the accumulated error over time.
+\\ - It helps eliminate small, long-standing errors, known as steady-state error.
+\\ - I control output = Ki x ∫(Error)dt
+\\ - If Ki is too large, the system may respond slowly or become unstable.
+\\
+\\
+**(iii) Derivative**
+\\ {{ :d_control.jpg?direct&400 |}}
+\\ - The derivative term predicts future error by analyzing the rate of change of the error and suppresses excessive responses.
+\\ - D control output = Kd x d(Error)/dt
+\\ - It reduces oscillation and helps stabilize the system smoothly.