In this technical note, we provide sufficient conditions for global asymptotic stability and global L2m gain estimation of linear systems subject to saturations and/or deadzones with structured parametric uncertainties, based on piecewise polynomial Lyapunov functions. By using sum-of-squares relaxations, these conditions are formulated in terms of linear matrix inequalities. Example studies are used to comparatively illustrate the proposed techniques.

Global stability and finite L2m-gain of saturated uncertain systems via piecewise polynomial Lyapunov functions

Zaccarian, Luca
2013-01-01

Abstract

In this technical note, we provide sufficient conditions for global asymptotic stability and global L2m gain estimation of linear systems subject to saturations and/or deadzones with structured parametric uncertainties, based on piecewise polynomial Lyapunov functions. By using sum-of-squares relaxations, these conditions are formulated in terms of linear matrix inequalities. Example studies are used to comparatively illustrate the proposed techniques.
2013
1
A., Garulli; A., Masi; G., Valmorbida; Zaccarian, Luca
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11572/67703
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