Appliance with modified proportional-integral control

A controller for use with an electrical appliance, comprising:

• a processor operatively connected to a memory;
• the controller operatively connected to a power circuit, a control circuit, a power source, a sensor for sensing a parameter level, and an active element;
• and
• the controller configured to receive an input of the parameter level from the sensor and to output a control signal for controlling a power level of the active element at various times via the control circuit to achieve a target set point of the parameter, the control signal output based on proportional and integral control;
• wherein the controller uses the proportional control and the integral control when the control circuit is powered on, and accumulates integral error only when a process variable sensed by the sensor is determined to be within an interval of the target set point.

An electrical heating appliance, comprising:

• a controller operatively connected to a power circuit, a control circuit, a power source, a sensor for sensing a parameter level, and an active element;
• and
• the controller configured to receive an input of the temperature level from the sensor and to output a control signal for controlling a power level of the heating element at various times via the control circuit to achieve a target set point of the temperature, the control signal output based on proportional and integral control,
• wherein the controller uses the proportional control and the integral control when the control circuit is powered on, and accumulates integral error only when a temperature process variable sensed by the sensor is determined to be within an interval of the target set point temperature.