Equivalence between PWA formalism and MLD formalism: Inverted pendulum system example

摘要

This paper presents an algorithm which translates Piecewise Affine (PWA) systems into Mixed Logical Dynamical (MLD) systems. The obtained model is equivalent to the PWA model meaning that given an initial state vector, the trajectories of the different states are similar. The technique is applied to an inverted pendulum example. The simulation results prove the equivalence between the two approaches.