Escalated predefined ssh scripts to remote computer implemetation

The problem is that I want to run certain ssh commands (Or scripts) from computerA to computerB without using a password. Examples: ssh apple@computerB 'poweroff' ssh apple@computerB "killall firefox; systemctl enable apache; firefox" ssh apple@computerB < superscript.txt I also want to do this as secure as I can get it. I should not be able to ssh to computerB if I simply open up a terminal. And obviously not be able to edit the scripts/programs and run them afterwards. I was thinking about using SUID and a different user with ssh keys to access the computer but there are security concerns regarding SUID and interpreted scripts. Do anyone have any suggestions?