## Instructions

Use this calculator to compute the control output for a PID controller in a servomotor system. Enter the PID gains (Kp, Ki, Kd), the current error, and the time step, then click "Calculate Control Output" to see the result.

The calculation uses the PID control law: u(t) = Kp * e(t) + Ki * ∫e(t)dt + Kd * de(t)/dt, where:

- u(t) is the control output (e.g., motor voltage)
- e(t) is the error (desired position - actual position)
- Kp is the proportional gain
- Ki is the integral gain
- Kd is the derivative gain

Note: This calculator provides a simplified single-step calculation. In a real system, the PID controller would run continuously, updating the control output at each time step.

### Understanding PID Controllers

PID controllers are essential in control systems, offering a way to regulate processes through feedback loops. They adjust control inputs based on the error between desired and actual outputs. The proportional term addresses present errors, the integral term corrects accumulated past errors, and the derivative term predicts future errors, enabling precise control.

### Importance in Servo Systems

In servomotor applications, PID controllers ensure precise movement and positioning, which is crucial for industrial automation. By continuously adjusting the control signal (e.g., motor voltage), they maintain the desired position despite external disturbances or changes in system dynamics.

## Instructions

Use this calculator to compute the control output for a PID controller in a servomotor system. Enter the PID gains (Kp, Ki, Kd), the current error, and the time step, then click "Calculate Control Output" to see the result.

The calculation uses the PID control law: u(t) = Kp * e(t) + Ki * ∫e(t)dt + Kd * de(t)/dt, where:

- u(t) is the control output (e.g., motor voltage)
- e(t) is the error (desired position - actual position)
- Kp is the proportional gain
- Ki is the integral gain
- Kd is the derivative gain

Note: This calculator provides a simplified single-step calculation. In a real system, the PID controller would run continuously, updating the control output at each time step.

### Understanding PID Controllers

PID controllers are essential in control systems, offering a way to regulate processes through feedback loops. They adjust control inputs based on the error between desired and actual outputs. The proportional term addresses present errors, the integral term corrects accumulated past errors, and the derivative term predicts future errors, enabling precise control.

### Importance in Servo Systems

In servomotor applications, PID controllers ensure precise movement and positioning, which is crucial for industrial automation. By continuously adjusting the control signal (e.g., motor voltage), they maintain the desired position despite external disturbances or changes in system dynamics.