Uncertainty and disturbance estimator based robust synchronization for a class of uncertain fractional chaotic system via fractional order sliding mode control

DOI10.1016/j.chaos.2018.07.028zbMath1416.93123OpenAlexW2892294340MaRDI QIDQ2313537

Deepika Deepika, Sandeep Kaur, Shiv Narayan

Publication date: 19 July 2019

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.chaos.2018.07.028

zbMATH Keywords

uncertaintieschaotic systemshyperchaosfractional Lyapunov methodMittag-Leffler methoduncertainty and disturbance estimatorfractional order sliding mode control

Mathematics Subject Classification ID

Nonlinear systems in control theory (93C10) Control/observation systems with incomplete information (93C41) Estimation and detection in stochastic control theory (93E10) Chaos control for problems involving ordinary differential equations (34H10)

Related Items (7)

Synchronization of different order fractional-order chaotic systems using modify adaptive sliding mode control ⋮ Exponential stabilization of chaotic systems based on fuzzy time-triggered intermittent control ⋮ Adaptive finite-time synchronisation of variable-order fractional chaotic systems for secure communication ⋮ Integer-fractional decomposition and stability analysis of fractional-order nonlinear dynamic systems using homotopy singular perturbation method ⋮ Synchronisation of two different uncertain fractional-order chaotic systems with unknown parameters using a modified adaptive sliding-mode controller ⋮ \( \mathcal{L}_1\) adaptive controller design for a class of fractional order uncertain systems ⋮ Control of fractional-order unified chaotic systems subject to external disturbances using twisting algorithm with fractional integral sliding surface

Uses Software

• Matlab
• ora_foc

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