Two kinds of options apply here: for when the Mac is still ticking away but isn’t doing what you want, so you want to restart it if only you could connect remotely to it or when the Mac is unreachable and ostensibly crashed or experiencing other problems, and you want to power cycle it. His Mac is located on a network created by a Time Machine, so it has a privately assigned IP address using NAT (Network Address Translation). He’s wondering what options are available with modern Macs.
Murray needs to restart his Mac at times when it’s not within arm’s reach-or even with walking legs’ reach.