Synthesis of Piecewise-Affine Controllers for Stabilization of Nonlinear Systems

摘要

This paper presents conditions under which the feedback interconnection of a nonlinear plant and a piecewise-affine controller is stable. The piecewise - affine controller is designed for a piecewise - affine approximation of the nonlinear dynamics. The design is based on previous work of the authors. The paper also shows how to use differential inclusions to design piecewise - affine controllers for stabilization of nonlinear systems. A numerical example is provided to illustrate the procedure