Model Reduction of Unstable Discrete Time Generalized Second Orderly-form Systems with Structure Preservation

Abstract

Mathematical models are to be emblematized in equivalently curtailed models.
Sundry nonexistent techniques for model reduction of unstable discrete time second-orderly structured
systems (SOSs) are suggested. In this paper we consider two structure-retaining model curtailment of
discrete time unstable second-orderly systems utilizing equated truncation contrivances. First
contrivance fragment the SOSS in stable and unstable parts, while second contrivance utilize Bernouli
feedback stabilization stratagem and hence provide structure retention. Assorted collections of singular
values are incorporated for such systems, which draws forth different scenarios of balancing and disparate
second-orderly equated curtailment stratagems. Characteristics of these techniques are collated and
demonstrated through numerical examples. As suggested contrivance maintains second-orderly
structure as well as carries stabilized system dynamics therefore, this contrivance truly compares pristine
system behaviour. The juxtaposition of suggested contrivances is bestowed for various systems to
endorse the veracious development and dominance of suggested contrivances over prevailing contrivances.