You're searching by the wrong term - normalisation is an overall level adjustment, such that the peak signal reaches a predetermined figure, e.g. 0dB
You need to be looking for compression, which can be broken down further to include peak-limiting, brick-wall & multi-band compression types.
There is also a type of plugin which will, in effect, actively ride the fader to compensate for volume changes. This isn't true compression but can be helpful in a controlled situation where a simple volume adjustment over time can compensate for such as voice-level differences on a solo vocal track.
It really depends on the programme material on your audio track as to which of these methods would be most appropriate to the situation; there's really no 'one plugin fits all' solution.
Also, if your track isn't 'clean' e.g. spoken voice with ambient background, then the challenge also becomes to keeping that ambient level low whilst boosting the useful signal.