I had an IR control lamp project that I converted into a network accessible service using the LinkIt One. Currently the code for controlling the lamp remotely is written for Windows Store apps (such as Windows and Windows Phone), but I plan on extending it with an Android version.
CAUTION: Be very careful when messing around with "real" power. The 3.3v-9v that we use when playing with microcontrollers is barely enough to register on your tongue, however, this project requires 220v...and that can knock you on your butt and leave permanent damage.
1) Take a cheap lamp and cut one side of the cord and strip it enough to fix into one of the relays on the 2-channel relay module.
2) Connect 5v and GND from the 2-Channel Relay module to the LinkIt One
3) Choose a digital pin to control the 2-channel relay (I picked D7) and connect that to the correct pin on the relay module (they are labeled IN1 and IN2)
4) Modify the sketch to use your network's name and authentication information, then copy it to the LinkIt One via Arduino Studio.
5) Create an application to communicate with the LInkIt One (you can look for mine online at codewarriormalo.com)
6) Plug in the lamp and power on the LinkIt One.