Solution from technical support Plesk:
psa-mod-fcgid-configurator must be at least version libapache2-mod-fcgid-psa_2.3.9.4 (If less - you need to install a patch or update the system)
1. Switch the Apache mode from "mpm_event" to "mpm_prefork" in Pelsk> Tools and Settings> Apache Web server;
2. Increase the value of the "Apache restart interval" to 60 seconds in Pelsk> Tools and Settings> Apache Web server;
3. Replace "/etc/init.d/apache2 reload" with "/etc/init.d/apache2 restart" in the /etc/logrotate.d/apache2 file.
And then Apache it will not shut down when you update Plesk