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Fixed-Time Fractional-Order Sliding Mode Control for UAVs under External Disturbances

Abdellah Benaddy, Moussa Labbadi, Kamal Elyaalaoui, Mostafa Bouzi

2023Fractal and Fractional17 citationsDOIOpen Access PDF

Abstract

The present paper investigates a fixed-time tracking control with fractional-order dynamics for a quadrotor subjected to external disturbances. After giving the formulation problem of a quadrotor system with six subsystems like a second-order system, a fractional-order sliding manifold is then designed to achieve a fixed-time convergence of the state variables. In order to cope with the upper bound of the disturbances, a switching fixed-time controller is added to the equivalent control law. Based on the switching law, fixed-time stability is ensured. All analysis and stability are proved using the Lyapunov approach. Finally, the higher performance of the proposed controller fixed-time fractional-order sliding mode control (FTFOSMC) is successfully compared to the two existing techniques through numerical simulations.

Topics & Concepts

Control theory (sociology)Controller (irrigation)Sliding mode controlStability (learning theory)Convergence (economics)Upper and lower boundsLyapunov functionMathematicsLyapunov stabilityVariable structure controlMode (computer interface)Computer scienceControl (management)Nonlinear systemPhysicsMathematical analysisBiologyQuantum mechanicsOperating systemEconomic growthAgronomyMachine learningArtificial intelligenceEconomicsAdaptive Control of Nonlinear SystemsAdvanced Control Systems DesignStability and Control of Uncertain Systems
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