OBSERVER-BASED H∞ CONTROL FOR TIME-DELAY-CONFORMABLE FRACTIONAL-ORDER TAKAGI–SUGENO FUZZY SYSTEMS

Mohamed Rhaima (), Hamdi Gassara () and Lassaad McHiri
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Mohamed Rhaima: Department of Statistics and Operations Research, College of Science, King Saud University, P. O. Box 2455, Riyadh 11451, Saudi Arabia
Hamdi Gassara: Laboratory of Sciences and Techniques of Automatic, Control and Computer Engineering, National School of Engineering of Sfax, University of Sfax, PB 1173, 3038 Sfax, Tunisia
Lassaad McHiri: Department of Mathematics, Panthéon-Assas Université Paris II, 92 Rue d’Assas, 75006 Paris, France

FRACTALS (fractals), 2025, vol. 33, issue 08, 1-12

Abstract: This work focuses on implementing H∞ Observer-Based Control (OBC) for a class of Nonlinear Conformable fractional-order Delayed Systems (NCDSs) represented by the Takagi–Sugeno fuzzy model (TSFM). The aim is to develop conditions, utilizing the Lyapunov approach, that guarantee the existence of both a controller and an observer. These conditions are formulated as linear matrix inequalities (LMIs). Additionally, an H∞ optimization technique is employed to mitigate the effects of disturbances on the controlled output. An example is provided to demonstrate the validity of the proposed scheme.

Keywords: Conformable Fractional-Order Derivative; Lyapunov Method; Stability Analysis; Observer Design; Takagi–Sugeno Fuzzy Model (search for similar items in EconPapers)
Date: 2025
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DOI: 10.1142/S0218348X25401620

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