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Prescribed performance control of a robotic manipulator with unknown control gain and assigned settling time

Pooria Ghanooni, Hamed Habibi, Amirmehdi Yazdani, Hai Wang, Somaiyeh MahmoudZadeh, Antonella Ferrara

2023ISA Transactions13 citationsDOIOpen Access PDF

Abstract

This paper presents a control method for trajectory tracking of a robotic manipulator, subject to practical constraints and uncertainties. The proposed method is established upon an adaptive backstepping procedure incorporating a tangent-type barrier Lyapunov function and it preserves some important metrics of trajectory tracking such as fast and user-defined settling time response and robustness against actuation faults and unknown control gain. The proposed design maintains the system trajectory within a prescribed performance bound and relaxes the assumption of the bounded initial condition. These salient features preserve the system within a safety bound and, consequently, guarantee the system stability and safety. The performance of the proposed control method is validated on a 3-DOF PUMA 560 robotic manipulator benchmark model, with different operation scenarios. The simulation results confirm the effectiveness and robustness of the proposed control method.

Topics & Concepts

Control theory (sociology)BacksteppingSettling timeRobustness (evolution)Lyapunov functionTrajectoryBounded functionComputer scienceControl engineeringEngineeringControl (management)Nonlinear systemAdaptive controlMathematicsArtificial intelligenceStep responseChemistryQuantum mechanicsPhysicsBiochemistryMathematical analysisAstronomyGeneAdaptive Control of Nonlinear SystemsAdvanced Control Systems OptimizationAdvanced Control Systems Design