Physics undergrad to Robotics Phd possible?

[Pegaesus]

I was wondering whether someone with a Physics UG could apply with a reasonable chance of admission to Robotics Graduate schools (Control System specialization) which are generally in the Mech E or ECE department. Personally here are my stats:
3.96 GPA from a small LAC
GRE: 167Q 160V 4.5A
1 paper published and 2 Posters unrelated to Control Systems  
Strong LOR, small LAC college tons of interaction with professors

My decision to pursue Control systems and Automation is resolute and I am just trying to see if I can go to grad school next fall or I have to get some experience and attend in a future date.