DocumentCode
19590
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
Volume
58
Issue
1
fYear
2013
fDate
Jan. 2013
Firstpage
242
Lastpage
246
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;
fLanguage
English
Journal_Title
Automatic Control, IEEE Transactions on
Publisher
ieee
ISSN
0018-9286
Type
jour
DOI
10.1109/TAC.2012.2205449
Filename
6221955
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