On Model Checking of a Robotic Mechanism

Developing robot control systems can get complex even for small number of functions to be carried by the robot. Finite state machines are representing a frequent approach to model complex systems in a formal way. In this paper we are presenting a methodology for modelling the kinematics of a robotic mechanism represented by a sequence of bodies linked by joints. Each movement is decomposed as a sequence of rotations and translations and a finite state machine modelling the behavior of each of these is built. The general methodology is applied on a case study: A 2 joints manipulator. An Event-B model of each machine is implemented in the Rodin platform, then the models are validated and some LTL properties corresponding to the behavior of the robot are verified using ProB, the associated model checker.