Red Rover

Needs to be met by system

The cart shall receive a Bluetooth signal sent by a user's phone
The cart shall use a Bluetooth signal to traverse across a room or large hallway towards the user while avoiding large obstacles.
The cart shall be able to correct its course to follow the most direct path possible to the user.
The cart shall move in forward/back movements and make 90/180deg turns to navigate its environment.
The cart shall connect to IR/Line-of-Sight tracking when within a ~2m range of the user to gauge the direction in which the user is moving.
The cart shall maintain a minimum/maximum distance from the user through the use of Bluetooth while using IR/Line-of-Sight close range tracking.
The cart shall maneuver in an active work environment without running into any obstacles taller than 1in within an at least 6ft wide pathway.
The cart shall move across carpets while carrying a maximum load of 50lbs.
The cart shall, with all components and wheels needed to motorize and navigate on its own, not exceed the dimensions of 18" wide, 36" long and 39" tall.
The cart shall have a rechargeable battery that can sustain 1hr of continuous use before needing to be recharged.