Make a dhcp pool mapping only one mac address.
Look example below.
ip dhcp pool statichost
host 192.168.1.1 255.255.255.0
hardware-address 0010.a3fd.2f9f
client-name something
domain-name test.com
default-router 192.168.1.254
dns-server 192.168.1.10
lease 1 0