We ï¬rst introduce a novel modeling framework, called linear coupled component automata (LCCA), to facilitate the modeling of discrete-continuous dynamical systems with piecewise constant derivatives. Second, we provide a procedure for transforming models in this framework to mixed-integer linear programming (MILP) constraints. Traditionally, such systems have been modeled directly with MILP constraints. We show with an example that our framework signiï¬cantly simpliï¬es model formulation and allows the complex MILP constraints to be produced systematically.
Ashish Agarwal, Ignacio E. Grossmann (2009). Linear coupled component automata for MILP modeling of hybrid systems, Computers & Chemical Engineering 33(1): 162-175.