sudo powers open up
/etc/systemd/logind.conf and look for the following two lines:
If they begin with a hash tag (
#) remove it and set your option to ignore, poweroff, reboot, halt, suspend, hibernate, hybrid-sleep, lock or kexec. More details can be found at Power Management
This worked for me and hopefully works for you too.
There are many bug reports starting in August 2016 with Linux Suspend / Resume issues. This bug report has lots of solutions. One comment #140 has grub command line changes that are confirmed to work:
GRUB_CMDLINE_LINUX_DEFAULT="quiet splash acpi_backlight=vendor acpi_osi='!Windows 2013' acpi_osi='!Windows 2012'"
If this doesn't work, by all means check out the other solutions in this bug report. Also check out other bug reports using google search string: "Resume shuts down 16.04"