The dynamic model of a robotic system is prone to parametric and structural uncertainties, as well as dynamic disturbances, such as dissipative forces, input noise and vibrations, to name a few. In addition, it is conventional to access only a part of the state, such that, when just the joint positions are available, the use of an observer, or a differentiator, is required. Besides, it has been demonstrated that some disturbances are not necessarily differentiable in any integer-order sense, requiring for a physically realizable but robust controller to face them. In order to enforce a stable tracking in the case of nondifferentiable disturbances, and accessing just to the robot configuration, an output feedback controller is proposed, which is continuous and induces the convergence of the system state into a stable integral error manifold, by means of a fractional-order reaching dynamics. Simulation and experimental studies are conducted to show the reliability of the proposed scheme.
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May 2019
Technical Briefs
Output Feedback Fractional Integral Sliding Mode Control of Robotic Manipulators
Aldo Jonathan Muñoz-Vázquez,
Aldo Jonathan Muñoz-Vázquez
CONACYT Research Fellow
School of Engineering,
Autonomous University of Chihuahua,
Chihuahua, Chihuahua 31125, Mexico
e-mail: ajmunoz@uach.mx
School of Engineering,
Autonomous University of Chihuahua,
Chihuahua, Chihuahua 31125, Mexico
e-mail: ajmunoz@uach.mx
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Fernando Martínez-Reyes
Fernando Martínez-Reyes
Professor
School of Engineering,
Autonomous University of Chihuahua,
Chihuahua, Chihuahua 31125, Mexico
e-mail: fmartine@uach.mx
School of Engineering,
Autonomous University of Chihuahua,
Chihuahua, Chihuahua 31125, Mexico
e-mail: fmartine@uach.mx
Search for other works by this author on:
Aldo Jonathan Muñoz-Vázquez
CONACYT Research Fellow
School of Engineering,
Autonomous University of Chihuahua,
Chihuahua, Chihuahua 31125, Mexico
e-mail: ajmunoz@uach.mx
School of Engineering,
Autonomous University of Chihuahua,
Chihuahua, Chihuahua 31125, Mexico
e-mail: ajmunoz@uach.mx
Fernando Martínez-Reyes
Professor
School of Engineering,
Autonomous University of Chihuahua,
Chihuahua, Chihuahua 31125, Mexico
e-mail: fmartine@uach.mx
School of Engineering,
Autonomous University of Chihuahua,
Chihuahua, Chihuahua 31125, Mexico
e-mail: fmartine@uach.mx
Contributed by the Design Engineering Division of ASME for publication in the JOURNAL OF COMPUTATIONAL AND NONLINEAR DYNAMICS. Manuscript received August 20, 2018; final manuscript received February 24, 2019; published online March 14, 2019. Assoc. Editor: Bernard Brogliato.
J. Comput. Nonlinear Dynam. May 2019, 14(5): 054502 (5 pages)
Published Online: March 14, 2019
Article history
Received:
August 20, 2018
Revised:
February 24, 2019
Citation
Muñoz-Vázquez, A. J., and Martínez-Reyes, F. (March 14, 2019). "Output Feedback Fractional Integral Sliding Mode Control of Robotic Manipulators." ASME. J. Comput. Nonlinear Dynam. May 2019; 14(5): 054502. https://doi.org/10.1115/1.4043000
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