In this paper we provide sufficient conditions for regional asymptotic and nonlinear ℒ2m gain estimation of linear systems subject to saturations and/or deadzones, based on piecewise polynomial Lyapunov functions. By using sum-of-squares relaxations, these conditions are formulated in terms of linear matrix inequalities for the global case, and bilinear ones for the regional case. The results are provided for both the cases with and without structured parametric uncertainties. Example studies are used to comparatively illustrate the proposed techniques.
Garulli, A., Masi, A., Valmorbida, G., Zaccarian, L. (2011). Piecewise polynomial Lyapunov functions for stability and nonlinear L_2m-gain computation of saturated uncertain systems. In Proc. 50th IEEE Conference on Decision and Control and European Control Conference 2011 (pp.308-313). New York : IEEE [10.1109/CDC.2011.6160459].
Piecewise polynomial Lyapunov functions for stability and nonlinear L_2m-gain computation of saturated uncertain systems
GARULLI, ANDREA;MASI, ALFIO;
2011-01-01
Abstract
In this paper we provide sufficient conditions for regional asymptotic and nonlinear ℒ2m gain estimation of linear systems subject to saturations and/or deadzones, based on piecewise polynomial Lyapunov functions. By using sum-of-squares relaxations, these conditions are formulated in terms of linear matrix inequalities for the global case, and bilinear ones for the regional case. The results are provided for both the cases with and without structured parametric uncertainties. Example studies are used to comparatively illustrate the proposed techniques.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
https://hdl.handle.net/11365/25021
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