Controller Synthesis for Parametric Timed Games

Abstract: We present a (semi)-algorithm to compute winning strategies for parametric timed games. Previous algorithms only synthesized constraints on the clock parameters for which the game is winning. A new definition of (winning) strategies is proposed, and ways to compute them. A transformation of these strategies to (parametric) timed automata allows for building a controller enforcing them. The feasibility of the method is demonstrated by an implementation and experiments for the Production Cell case study.