Stabilization of Discrete-Time Piecewise Multi-Linear Systems

Abstract

This paper proposes a discrete-time piecewise multi-linear (PML) system and a PML controller based on input-output feedback linearizations. In this paper an input-output feedback linearization is used to transform each piecewise model into a linear system known as the Brunovsky canonical form. Thus the whole piecewise system can be stabilized by a feedback linearized controller. Examples are shown to confirm the feasibility of our proposals by computer simulation.