REDUCTION OF LINEAR DYNAMIC SYSTEMS USING HANKEL NORM APPROXIMATION

Nidhi Singh

Keywords

Hankel norm approximation, discrete systems, continuous systems,bilinear transformation, stability

Abstract

The Hankel norm approximation (HNA) method of model reduction often suffers from an inherent deficiency of showing errors in the step responses of original and reduced systems. A modified method of model order reduction for stable continuous linear time invariant systems is presented and is also extended to include discrete time systems. The objective of the reduction method, based on HNA, is to preserve the steady-state value of original system along with other important properties of the system. Bilinear transformation is used to transform the original system from z-domain to s-domain and vice versa. The method is illustrated by examples.

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