I was thinking about this earlier. By low memory I mean < a kb and by low power I mean microcontroller level.

One thought I had is that you would want to use make/unmake instead of copying the board in order to save memory.

You would probably also want to have a good static evaluation function ...

Looks to me to be https://www.chessprogramming.org/Piece-Square_Tables.

The idea is to encourage placement of pieces on adventages squares.
In your example centering and advancing pawns,