Set-Membership Estimation of Hybrid Systems via SAT Modulo ODE*

Set membership estimation (SME) of nonlinear hybrid systems is still a challenging issue. Although SME of nonlinear continuous systems has made significant progress recently, the direct extension of these methods to the hybrid case is not easy. Meanwhile, satisfiability (SAT) checkers for Boolean combinations of arithmetic constraints over real- and integer-valued variables have made significant progress, as they can effectively deal with algebraic constraints between variables and non-linear ODEs, what is denoted as SAT Modulo ODE. Finally, the corresponding solvers solve in a natural way the hybrid differential and algebraic constraints satisfaction problems that underlie SME of hybrid systems. This paper presents the application of such a SAT Modulo ODE solver to SME of hybrid dynamical systems.