Transformation of two-dimensional model into two-dimensional decoupled model and decomposition into one-dimensional models. Issue 3 (17th February 2023)

• Record Type: Journal Article
• Authors: Imran, Muhammad; Imran, Muhammad
• Is Part Of: International journal of systems science. Volume 54:Issue 3(2023)
• Page Start: 491
• Page End: 503
• Publication Date: 2023-02-17
• Subjects: Two-dimensional models -- decomposition of two-dimensional models -- causal recursive separable denominator -- two-dimensional decoupled model form -- model reduction -- non-symmetric algebraic riccati equation -- minimal rank-decomposition; System analysis -- Periodicals; 003.3
• DOI: 10.1080/00207721.2022.2128702
• Languages: English
• ISSNs: 0020-7721

Abstract

Abstract : 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.