... i think i've found an interesting approach for combining the 'instant powerup' of the "bang-bang" with PI or PID.
When starting the controller (or if the temp-difference is more than say 20°C), the controlling is disabled and the heater runs at full power.
When the temp. comes in a specified range near the target temperature (in our sensors it's +/- 0.5°C around the target temp of 60°C), the controlling is enabled again.
With a PI-algorhythm controlling a DAC which drives two 20Watt-heaters we control the temperature of a steel-armature with an accuracy of +/- 0.001°C at the sensor position
Viktor
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