DISCRETE-TIME VARIABLE STRUCTURE CONTROLLER SYNTHESIS FOR THIRD ORDER OBJECTS WITH FINITE ZERO USING DELTA TRANSFORM

Olivera Iskrenović-Momcilović

   Analyzed in this paper is the variable structure system (VSS) to control the third order object with finite zero. First, a discrete mathematical model of the system over the canonical space, using the delta transform, was given for the discussed VSS system. Then, decomposition of the canonical space to subspaces with and without control by introducing the output variable delta transform was carried out. Finally, based on the quasi-sliding mode existence conditions, relations to provide this mode over the canonical subspace with control are derived. One illustrative example is used to demonstrate the discrete-time variable structure (DTVS) controller synthesis procedure using the delta transform.

Keywords: discrete-time variable structure system, delta operator, canonical subspace, quasi-sliding mode

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