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Journal Articles International Journal of Robust and Nonlinear Control Year : 2018

Input / Output Stability of a Damped String Equation coupled with Ordinary Differential System

Abstract

The input/output stability of an interconnected system composed of an ordinary differential equation and a damped string equation is studied. Issued from the literature on time-delay systems, an exact stability result is firstly derived using pole locations. Then, based on the Small-Gain theorem and on the Quadratic Separation framework, some robust stability criteria are provided. The latter follows from a projection of the infinite dimensional state on an orthogonal basis of Legendre polynomials. Numerical examples comparing these results with the ones in the literature are proposed and a comparison of its efficiency is made.
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Dates and versions

hal-01690626 , version 1 (23-01-2018)
hal-01690626 , version 2 (19-09-2018)

Licence

Public Domain

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Matthieu Barreau, Frédéric Gouaisbaut, Alexandre Seuret, Rifat Sipahi. Input / Output Stability of a Damped String Equation coupled with Ordinary Differential System. International Journal of Robust and Nonlinear Control, 2018, 28 (18), pp.6053-6069. ⟨10.1002/rnc.4357⟩. ⟨hal-01690626v2⟩
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