Practical stabilization for a class of tempered fractional‐order nonlinear fuzzy systems.

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Title: Practical stabilization for a class of tempered fractional‐order nonlinear fuzzy systems.
Authors: Rguigui, Hafedh1 (AUTHOR) hmrguigui@uqu.edu.sa, Elghribi, Moncef2 (AUTHOR)
Source: Asian Journal of Control. Jan2026, Vol. 28 Issue 1, p294-300. 7p.
Subjects: Closed loop system stability, Fuzzy control systems, Lyapunov functions, Nonlinear systems, Uncertain systems, Fault-tolerant control systems, Equilibrium
Abstract: This paper investigates the problem of practical stabilization for a class of tempered fractional‐order nonlinear fuzzy systems. By incorporating tempered fractional derivatives into the control design and employing Lyapunov‐based analysis, we derive sufficient conditions to ensure practical Mittag–Leffler stability (PMLS) of the closed‐loop system. The proposed approach leverages a fuzzy control framework to handle system uncertainties while ensuring robust performance. An illustrative example is provided to demonstrate the effectiveness of the stabilization strategy. These results contribute to the ongoing research on fractional‐order system control and highlight potential applications in observer‐based control and fault‐tolerant systems. [ABSTRACT FROM AUTHOR]
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Database: Engineering Source
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Abstract:This paper investigates the problem of practical stabilization for a class of tempered fractional‐order nonlinear fuzzy systems. By incorporating tempered fractional derivatives into the control design and employing Lyapunov‐based analysis, we derive sufficient conditions to ensure practical Mittag–Leffler stability (PMLS) of the closed‐loop system. The proposed approach leverages a fuzzy control framework to handle system uncertainties while ensuring robust performance. An illustrative example is provided to demonstrate the effectiveness of the stabilization strategy. These results contribute to the ongoing research on fractional‐order system control and highlight potential applications in observer‐based control and fault‐tolerant systems. [ABSTRACT FROM AUTHOR]
ISSN:15618625
DOI:10.1002/asjc.3703