PID control to maintain constant heater electrical power?

Hi!
I am looking for a good solution for the following:
I have a heater wire (approx. 220 Ohms). I drive this wire with DC voltage. I measure the voltage drop on the wire, and the current running through it. I want to control not the temperature, but the calculated electrical power (P=U*I) in the range of 1mW to 1W. 
            Of course the resistivity is slightly different at different temperatures, so that is why I think I need active control.
Maybe someone could give me a good advice?
Thanks very much!

Hi,
Everything is set up for the hardware. I generate the DC voltage with a NI Static waveform card (DAQmx). I measure the voltage drop and the current (via voltage drop measurement on a calibrated resistor connected in serial with the heater wire) with a Keithley DVM via GPIB card. The SetPoint is the required electrical power, the ProcessVariable is the calculated power from the measured U and I. The output is the driving voltage between 0-3 DC Volts, what I amplify with a factor 5.8 with an amplifier connected to the heater wire.
I try to use the PID.vi from the PID toolkit (I already use PI(D) controls from LabView for other heater wires, where I have to control temperature, and they work very efficiently and perfectly) for this purpose.
So far I try to find the proper gain values. My sampling rate is low, approx. 8 seconds. First I tried only the P control (zeroing the I and D gains of the PID.vi), to find a stable oscillation range, so I could go on with the PID Autotune vi. But no luck so far. I think it is also a problem, that this system is not linear: the P is not a linear function of U. Can you suggest how to go on from here?
Thanks very much!

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