Output feedback stabilization of two-dimensional fuzzy systems

Abstract

This paper is concerned with the output feedback stabilization of two-dimensional (2D) discrete fuzzy systems described by the Fornasini-Marchesini (FM) second model. Based on the fuzzy-basis-dependent Lyapunov function, a new criterion is proposed for the fuzzy static output feedback (SOF) controller, which is expressed as strict linear matrix inequalities and hence numerically tractable. The main advantage of the developed SOF control scheme is that no constraints are imposed on system matrices, which is expected to have a wider range of applications. The applicability and the advantage of the proposed results are shown through two numerical examples.

Observer‐based output feedback H∞ control of two‐dimensional systems with periodic scheduling protocol and redundant channels

“…Among them, the Roesser model [5] and the Fornasini–Marchesini (F–M) second model [6] occupy a dominant position on account of their structural advantages. At present, fruitful results have been reported on the analysis and synthesis problems for various 2D systems, such as stability issues [7–10], control problem [11–14], filtering and estimation [15–22], controllability and observability [23], and fault detection [24, 25].…”