Finite-region stability and boundedness for discrete 2D Fornasini–Marchesini second models. Issue 4 (12th March 2017)

• Record Type: Journal Article
• Authors: Zhang, Guangchen; Wang, Weiqun
• Is Part Of: International journal of systems science. Volume 48:Issue 4(2017)
• Page Start: 778
• Page End: 787
• Publication Date: 2017-03-12
• Subjects: Finite-region stability -- finite-region boundedness -- finite-region stabilisation -- Fornasini–Marchesini second (FMII) models; System analysis -- Periodicals; 003.3
• DOI: 10.1080/00207721.2016.1212436
• Languages: English
• ISSNs: 0020-7721

Abstract

ABSTRACT: In this paper, the concepts of finite-region stability (FRS) and finite-region boundedness (FRB) are formulated for discrete two-dimensional (2D) Fornasini–Marchesini second (FMII) models, and then the analysis methods for FRS and FRB are proposed to investigate the transient behaviour of such discrete 2D FMII models. First, by building special recursive formulas, we develop a sufficient condition which guarantees the FRS of the system under solvable linear matrix inequalities (LMIs) conditions. Next, the FRB problem is addressed for the FMII model with exogenous disturbances and the corresponding criteria and LMIs conditions are reported. Finally, we apply the proposed FRS analysis method to consider the finite-region stabilisation problem of a chemical reactor thermal process, as well as some other numerical examples, to illustrate the validity of the proposed methods.