Title :
Global Stability and Finite L2m-Gain of Saturated Uncertain Systems via Piecewise Polynomial Lyapunov Functions
Author :
Garulli, Andrea ; Masi, A. ; Valmorbida, G. ; Zaccarian, Luca
Author_Institution :
Dipt. di Ing. dell´Inf., Univ. di Siena, Siena, Italy
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.
Keywords :
Lyapunov methods; asymptotic stability; linear matrix inequalities; linear systems; piecewise polynomial techniques; uncertain systems; finite L2m-gain; global L2m gain estimation; global asymptotic stability; linear matrix inequalities; linear systems; piecewise polynomial Lyapunov functions; saturated uncertain systems; structured parametric uncertainties; sufficient conditions; sum-of-squares relaxations; Asymptotic stability; Lyapunov methods; Polynomials; Stability analysis; Uncertainty; Vectors; ${cal L}_{2m}$ gain; polynomial Lyapunov functions; saturation; sum of squares;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.2012.2205449
