NDLI: Fractional integral sliding modes for robust tracking of nonlinear systems

Content Provider	Springer Nature Link
Author	Muñoz Vázquez, Aldo Jonathan Parra Vega, Vicente Sánchez Orta, Anand
Copyright Year	2016
Abstract	Memory and heritage of differintegral operators require knowledge of the error manifold derivative at the initial time to sustain a sliding motion for any initial condition. Moreover, when the system is subject to (unknown) disturbances, such initial condition is unknown; thus, the enforcement of an integral sliding motion has been elusive with a chatter-less controller. In this paper, a novel fractional-order integral sliding mode (FISM) is proposed to maintain an invariant sliding mode due to an exact estimation of disturbances at first step. Our scheme is continuous after initial condition, avoiding chattering effects thanks to the topological properties of differintegral operators. In contrast to other FISM approaches, the proposed scheme induces a fractional-order reaching dynamics of order $$(1+\nu )\in (1,2)$$ to enforce an integral sliding mode for any initial condition, even in the presence of Hölder (continuous but not necessarily differentiable) disturbances and model uncertainties. Simulations show the reliability of the proposed scheme.
Starting Page	895
Ending Page	901
Page Count	7
File Format	PDF
ISSN	0924090X
Journal	Nonlinear Dynamics
Volume Number	87
Issue Number	2
e-ISSN	1573269X
Language	English
Publisher	Springer Netherlands
Publisher Date	2016-09-19
Publisher Place	Dordrecht
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Fractional-order control Integral sliding mode control Disturbance rejection Nonlinear systems Vibration, Dynamical Systems, Control Classical Mechanics Mechanical Engineering Automotive Engineering
Content Type	Text
Resource Type	Article
Subject	Ocean Engineering Applied Mathematics Control and Systems Engineering Mechanical Engineering Electrical and Electronic Engineering Aerospace Engineering

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