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Sliding Modes for the Simulation of Mechanical and Electrical Systems Defined by Differential-Algebraic Equations

Rao, Sachit and Utkin, Vadim and Buss, Martin (2010) Sliding Modes for the Simulation of Mechanical and Electrical Systems Defined by Differential-Algebraic Equations. In: Journal of Computational and Nonlinear Dynamics, 5 (4).

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Abstract

We offer a technique, motivated by feedback control and specifically sliding mode control, for the simulation of differential-algebraic equations (DAEs) that describe common engineering systems such as constrained multibody mechanical structures and electric networks. Our algorithm exploits the basic results from sliding mode control theory to establish a simulation environment that then requires only the most primitive of numerical solvers. We circumvent the most important requisite for the conventionalsimulation of DAEs: the calculation of a set of consistent initial conditions. Our algorithm, which relies on the enforcement and occurrence of sliding mode, will ensure that the algebraic equation is satisfied by the dynamic system even for inconsistent initial conditions and for all time thereafter. [DOI:10.1115/1.4001904]

Item Type: Journal Article
Additional Information: Copyright of this article belongs to The American Society of Mechanical Engineers.
Keywords: Differential algebraic equations; feedback; mechanical engineering;networks (circuits); simulation; variable structure systems.
Department/Centre: Division of Mechanical Sciences > Aerospace Engineering (Formerly, Aeronautical Engineering)
Date Deposited: 16 Sep 2010 06:14
Last Modified: 19 Sep 2010 06:16
URI: http://eprints.iisc.ernet.in/id/eprint/32138

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