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