Discrete-time variable structure controller synthesis using model in canonical subspace

Abstract

Analyzed in this paper is the variable structure system (VSS) to control the n-th order object. First, a discrete mathematical model of the system over the canonical space, using the Euler method, was given for the discussed VSS system. Then, decomposition of the canonical space to subspaces with and without control by introducing the output variable differential was carried out. Finally, based on the quasi-sliding (zigzag) mode existence conditions, relations to provide this mode over the canonical subspace with control is derived. One illustrative example is used to demonstrate the discrete-time variable structure (DTVS) controller synthesis procedure over the canonical subspace. © 2012 Praise Worthy Prize S.r.l. - All rights reserved.