Stabilizing Control of Piecewise Nonlinear Systems via Feedback Linearization Approaches

Abstract

This paper presents a concept to design piecewise nonlinear control systems using feedback linearization approaches. It was difficult to calculate an optimal solution of the stabilizing controllers because the conditions are represented as bilinear matrix inequalities. Our proposed approach is easy to design the stabilizing controllers because the design method is represented as the simple linear algebra equations. We apply the our proposed methods to nonlinear system controls. The illustrated examples are given to show the validity of the proposed methods.