Observer‐Based Exponential Stabilization for Conformable Polynomial Fuzzy Systems With Time Delay

This paper focuses on solving the challenge of observer-based exponential control (O-BC) regarding conformable fuzzy polynomial models with time delay. In this work, polynomial matrices with unmeasurable states are considered to enhance the practicality of the model in the design problem. The propos...

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Bibliographic Details
Published in:Discrete dynamics in nature and society 2024-01, Vol.2024 (1)
Main Authors: Iben Ammar, Imen, Gassara, Hamdi, Rhaima, Mohamed, Mchiri, Lassaad, Ben Makhlouf, Abdellatif
Format: Article
Language:English
Subjects:
Analysis
Closed loop systems
Control stability
Control systems design
Design
Fuzzy control
Fuzzy sets
Fuzzy systems
Mass-spring-damper systems
Polynomial matrices
Simulation methods
Time lag
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Summary:This paper focuses on solving the challenge of observer-based exponential control (O-BC) regarding conformable fuzzy polynomial models with time delay. In this work, polynomial matrices with unmeasurable states are considered to enhance the practicality of the model in the design problem. The proposed approach guarantees the existence of the polynomial controller and observer gains by satisfying sufficient conditions based on the sum-of-squares (S-O-S) approach. The stability conditions of the addressed system are solved using MATLAB SOSTOOLS, and the effectiveness of the proposed control scheme is evaluated through the presentation of simulation results from a numerical example and a mass-spring-damper system.
ISSN:1026-0226
1607-887X
DOI:10.1155/2024/4930326