Fractional Motion Control: Application to an XY Cutting Table

Keywords

Control theory (sociology), Path (computing), Table (database), Computer science, Actuator

References

• Non-Integer Motion Control: Application to an XY Cutting TablePierre Melchior, B. Orsoni, A. Oustaloup — 2000
• An Introduction to the Fractional Calculus and Fractional Differential EquationsKenneth S. Miller, Bertram Ross — 1993
• Davidson-cole transfer function in path tracking designB. Orsoni, Pierre Melchior, A. Oustaloup — 2001
• Minimum-time control of robotic manipulators with geometric path constraintsKang G. Shin, Neil David McKay — 1985
• Formulation and optimization of cubic polynomial joint trajectories for industrial robotsChoun‐Sea Lin, P.-R. Chang, J. Luh — 1983
• Robust trajectory planning for robotic manipulators under payload uncertaintiesKang G. Shin, Neil David McKay — 1987
• Preshaping Command Inputs to Reduce System VibrationNeil C. Singer, Warren Seering — 1990
• Dielectric Relaxation in Glycerol, Propylene Glycol, and n‐PropanolD. W. Davidson, Robert H. Cole — 1951
• A sensitivity approach to optimal spline robot trajectoriesAlessandro De Luca, Leonardo Lanari, Giuseppe Oriolo — 1988
• Robust and accurate time-optimal path-tracking control for robot manipulatorsJ. Kieffer, A.J. Cahill, M. R. James — 1997
• Time-Optimal Control of Robotic Manipulators Along Specified PathsJ.E. Bobrow, Steven Dubowsky, J.S. Gibson — 1985
• The CRONE toolbox for MatlabA. Oustaloup, Pierre Melchior, Patrick Lanusse — 2000
• A Simplex Method for Function MinimizationJ. A. Nelder, R. Mead — 1965
• Feedback control systemsO. Smith — 1958

Cited by

• Fractional Order Dynamics in a Genetic AlgorithmE. J. Solteiro, J. A. Tenreiro Machado — 2003
• Path tracking design based on I/O Davidson-Cole transfer function for square MIMO systemsPierre Melchior, Najah Yousfi, Ch. Inarn — 2013
• Motion Control by ZV Shaper Synthesis Extended for Fractional Systems and Its Application to CRONE ControlPierre Melchior, A. Poty, A. Oustaloup — 2004
• Line-of-Sight Stabilization System Based on Fractional-Order ControlLi Wang, Jian Jun Li, Yuan Yao — 2008
• Fractional Order Calculus: Basic Concepts and Engineering ApplicationsRicardo Enrique Gutiérrez Carvajal, João Maurício Rosário, J. A. Tenreiro Machado — 2010
• Inversion-based feedforward and reference signal design for fractional constrained control systemsFabrizio Padula, Antonio Visioli — 2014
• Fractional Order Dynamics in the Trajectory Planning of Redundant and Hyper-Redundant ManipulatorsFernando B. Duarte, J. A. Tenreiro Machado — 2003
• Control of Fractional-Order Systems Using Chatter-Free Sliding Mode ApproachMohammad Pourmahmood Aghababa — 2014
• Path tracking design by input/output Davidson-Cole transfer functionNajah Yousfi, Paul J. Melchior, Chokri Rekik — 2011
• Spatial Path Tracking of An Autonomous Industrial Vehicle Using Fractional Order ControllersBlas M. Vinagre, Y. Q. Chen — 2003
• Set-point filter design for a two-degree-of-freedom fractional control systemFabrizio Padula, Antonio Visioli — 2016
• Improvements on Flat Output Characterization for Fractional SystemsStéphane Victor, Pierre Melchior — 2015
• Fractional controller for guidance of autonomous ground vehiclesÁngel Rodríguez Castaño, Anı́bal Ollero, Blas M. Vinagre — 2003
• Natural Human–Robot Interface Using Adaptive Tracking System with the Unscented Kalman FilterGuanglong Du, Gengcheng Yao, Chunquan Li — 2020
• Line-of-sight stabilization system based on fractional-order controlLi Wang, Mingxiang Ling, Dongzhe Wang — 2008
• An overview of Fractional order PID Controllers and its Industrial applicationsA. Sandhya — 2016
• Using Fractional Calculus for Lateral and Longitudinal Control of Autonomous VehiclesJ. I. Suárez, B. Vinagre, A. J. Calderón — 2003
• Fractional Approaches in Path Tracking Design (or Motion Control): Prefiltering, Shaping, and FlatnessP. Melchior, S. Victor — 2015
• IntroductionA. Singh, D. Deb, H. Agrawal — 2020

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