Visual
Concept overview
A control system uses feedback or feedforward to make a physical process track a desired reference value despite disturbances. The plant is the physical process being controlled. The controller computes an error signal and applies a corrective input. In a closed-loop system, the output is measured and fed back to the controller. PID (Proportional-Integral-Derivative) control is the most widely deployed algorithm: the proportional term reacts to present error, the integral term eliminates steady-state error, and the derivative term damps oscillations.
Real-world applications
How it works in practice
In a digital PID controller implemented on a microcontroller, the control loop executes at a fixed sample rate set by a timer interrupt. At each sample: the sensor reading is acquired via ADC, the error e(k) is computed as the difference between the setpoint r(k) and the measured output y(k), the proportional term Kp * e(k) is computed directly, the integral term accumulates Ki * e(k) * Ts using the trapezoidal or backward Euler method with anti-windup limiting, and the derivative term uses a filtered difference Kd * (e(k) - e(k-1)) / Ts to avoid noise amplification. The summed output u(k) is clamped to the actuator range and sent as a PWM duty cycle to the driver. Gain tuning methods include Ziegler-Nichols step response, pole-zero cancellation for known plant models, and auto-tuning algorithms available in packages such as the MATLAB PID Tuner.
Examples
Future scope
Model predictive control (MPC) is replacing PID in applications where constraints on inputs or outputs must be enforced explicitly, such as battery thermal management in electric vehicles and grid-scale inverter control. Companies such as Siemens and ABB are deploying MPC on embedded processors with cycle times under 1 ms. Reinforcement learning-based controllers are being studied for nonlinear plants where deriving an accurate model is impractical, with research groups at DeepMind and ETH Zurich demonstrating learned policies for legged robot locomotion that outperform hand-tuned PID cascades on rough terrain.