Output feedback stabilization of two-dimensional fuzzy systems

Output feedback stabilization of two-dimensional fuzzy systems

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...

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Bibliographic Details
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
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Institution: Nanyang Technological University
Language: English
Description
Summary: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.

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