A finite-difference scheme to model Switched Complementary Linear Systems

Abstract

Developing efficient numerical techniques to model complex systems is valuable, and their main contribution is to reduce computational costs. This work presents a numerical approach that deals with this difficulty by incorporating a concise formulation to understand the dynamic of complementarity switched systems using the finite difference method. We introduce a discrete-time numerical version of the Switched Complementary Linear System and convert it into a mixed complementarity problem. In addition, we compute the numerical solution of the dynamics of a DC-DC boost converter by combining our proposal with the Feasible Directions Algorithm for Mixed Nonlinear Complementarity Problems.