Powershell REST security-log-profiles config

curl -X PATCH \
  'https://your_bigip_ip/mgmt/tm/ltm/virtual/~Common~some_vip_name-VS' \
  -H 'Authorization: Basic TXlRLVhdfhsadfsajfadsgasiufh=' \
  -H 'Content-Type: application/json' \
  -H 'Postman-Token: 03ac9874-ee45-4cce-a0dc-c54da1c78ae2' \
  -H 'cache-control: no-cache' \
  -d '{
    "securityLogProfiles": [
        "/Common/QRadar",
        "/Common/rsyslog_Azure",
        "/Common/local-dos"
    ]
}'

@Tim, above is the Curl call to add the security profiles of one's choice. For your local log profile, you need right escape characters like below

~Common~Log%20illegal%20requests

Select my comment as a right answer once you test it out.

Cheers