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A proportional -- integral -- derivative controller -LRB- PID controller -RRB- is a control loop feedback mechanism -LRB- controller -RRB- commonly used in industrial control systems .. control loop. control loop. feedback mechanism. feedback mechanism. controller. controller ( control theory ). proportional. Proportional control. integral. integral. derivative. derivative. A PID controller continuously calculates an error value as the difference between a desired setpoint and a measured process variable and applies a correction based on proportional , integral , and derivative terms -LRB- sometimes denoted P , I , and D respectively -RRB- which give their name to the controller type .. controller. controller ( control theory ). setpoint. Setpoint ( control system ). process variable. process variable. proportional. Proportional control. integral. integral. derivative. derivative