1. A welding system, comprising: a power source with an output providing a welding signal as a series of waveforms to a welding operation; a feedback system operatively coupled with said power source and sensing at least one feedback value associated with said welding operation; and a controller operatively coupled with said feedback system and with said power source, said controller providing at least one control signal to said power source to selectively adapt at least one waveform parameter of said welding signal in non-linear fashion based at least in part on said at least one feedback value from said feedback system to regulate the output of said power source.