Modeling and Simulation of Filippov System Models with SlidingMotions using Modelica
Mohammed Ahsan Adib Murad, Luigi Vanfretti, Federico Milano · Linköping electronic conference proceedings · 2020
This paper presents a generalized modeling formulation for implementation of dynamical system models that exhibit sliding behavior.The proposed formulation is based on Filippov theory, and is implemented using Modelica.The main advantage of the developed framework is that it effectively removes numerical chattering and trajectory deadlock.The robustness of the formulation is assessed considering three example system models: a stick-slip system, a relay feedback system and an anti-windup Proportional Integral (PI) controller in a power system application, i.e. an automatic voltage controller.