Output feedback stabilization of two-dimensional fuzzy systems

• Main Authors: Li, Lizhen, Lin, Zhiping, Chai, Yuan, Cai, Jingjing
• Other Authors: School of Electrical and Electronic Engineering
• Format: Article
• Language: English
• Published: 2020
• Subjects: Engineering::Electrical and electronic engineering; Science::Mathematics; Two-dimensional Fuzzy Systems; Output Feedback Stabilization
• Online Access: https://hdl.handle.net/10356/136677
• Institution: Nanyang Technological University

This paper is concerned with the output feedback stabilization of two-dimensional discrete fuzzy systems described by the Fornasini–Marchesini 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.