Revisiting synthesis of switching controllers for linear hybrid systems

Abstract. In this paper we study the problem of automatically gener-ating switching controllers for the class of Linear Hybrid Automata, with respect to safety objectives. We identify and solve inaccuracies contained in previous characterizations of the problem, providing a sound and com-plete symbolic fixpoint procedure, based on polyhedral abstractions of the state space. We also prove the termination of each iteration of the procedure. Some promising experimental results are presented, based on an implementation of the fixpoint procedure on top of the tool PHAVer.