The spokesperson said information from the public indicated the two incidents were linked.
The vehicle was found by the Police Air Support Unit and monitored overhead as it travelled on the North Shore. It was successfully spiked multiple times by patrol units.
The vehicle continued to flee from police and travelled to the Western Springs area, where it came to a stop.
"The offender allegedly attempted to flee on foot but was apprehended by police officers and was taken into custody without incident," the spokesperson said.
"The driver of the vehicle who was the victim of the aggravated robbery is shaken but uninjured and is being supported by police."
The spokesperson said charges were expected to be laid in relation to the incident.