Piecewise Modeling by Optimal Control Performance

Abstract

This study proposes a piecewise modeling method for nonlinear control systems by optimal control performance. It is straightforward to construct piecewise multi-linear models as a convex combination of vertex values. However, it is very difficult to find the dividing positions of the piecewise regions because it is a nonlinear programming problem. In this paper, a piecewise modeling algorithm based on particle swarm optimization is proposed to find the multiple dividing positions using optimal control performance. An example is considered to demonstrate the effectiveness of the modeling method using numerical simulations.