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RISE-Based Trajectory Tracking Control of an Aerial Manipulator Under Uncertainty

Dongjae Lee, Jeonghyun Byun, H. Jin Kim

2022IEEE Control Systems Letters22 citationsDOI

Abstract

This study presents a robust integral of the sign of the error (RISE)-based controller for an aerial manipulator consisting of a multi-rotor and a robotic arm which guarantees tracking error convergence to zero in the presence of uncertainties. To rigorously address underactuatedness issue, the system dynamics is decomposed into the two subsystems for which a robust controller is derived. As an intermediate result, if there exists no uncertainty, we show that the nominal closed-loop system with the proposed nominal controller is asymptotically stable without assuming that the attitude error term in the underactuated part is zero by cascaded system analysis tool. Then, a robust controller combining a nominal controller and a RISE controller is proposed and applied to both subsystems. Tracking error convergence is strictly proved through Lyapunov-based stability analysis. The performance of the controller is demonstrated in simulation with comparative studies where the proposed controller outperforms the other compared controllers in error convergence.

Topics & Concepts

Control theory (sociology)Controller (irrigation)Tracking errorConvergence (economics)TrajectoryComputer scienceLyapunov functionRotor (electric)UnderactuationRobust controlLyapunov stabilityStability (learning theory)Tracking (education)MathematicsControl engineeringControl systemControl (management)EngineeringArtificial intelligenceNonlinear systemEconomicsBiologyQuantum mechanicsMechanical engineeringMachine learningElectrical engineeringAgronomyAstronomyPsychologyPhysicsEconomic growthPedagogyAdaptive Control of Nonlinear SystemsDistributed Control Multi-Agent SystemsGuidance and Control Systems
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