Transformation of two-dimensional model into two-dimensional decoupled model and decomposition into one-dimensional models

Two-dimensional models are challenging to deals with because of their complex structure. Two-dimensional models can be separated into two sub-models only if they are represented in separable-denominator form. However, the separable-denominator form must satisfy the minimal rank-decomposition criteria to decompose the two-dimensional model into two sub-models. This research proposes a transformation that transforms the original two-dimensional general model into a two-dimensional decoupled model form without involving separable-denominator form and minimal rank-decomposition criteria and then decomposes into two one-dimensional sub-models (i.e. two cascaded one-dimensional models). Furthermore, the suggested transformation preserves the symmetry of the decomposed one-dimensional sub-models. These sub-models are used for ease in the design, analysis, control, and model reduction. Numerical outcomes show that the suggested transformation efficiently transforms the original two-dimensional model into decoupled model form, demonstrating the proposed transformation's effectiveness.