Take a look into log files:
/var/run/log.
hostd.log | Logs all hostd service operations |
vpxa.log | Logs interactions between the host vpxa agent and the vpxd service on vCenter Server |
fdm.log | Logs related to vSphere HA clusters |
Check entries from time when restart occurred or paste here files, maybe someone will find something interesting.
Leave only entries from date when restart occurred.
Remember that vSphere 5.5 is end of life. Think about upgrade to newer versions.