Global Stability and Finite <formula formulatype='inline'> <tex Notation='TeX'>${cal L}_{2m}$</tex></formula>-Gain of Saturated Uncertain Systems via Piecewise Polynomial Lyapunov Functions

Garulli A.; Masi A.; Valmorbida G.; Zaccarian L.

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Global Stability and Finite ${cal L}_{2m}$-Gain of Saturated Uncertain Systems via Piecewise Polynomial Lyapunov Functions

机译：全局稳定性和有限 $ {cal L} _ {2m} $ -通过分段多项式Lyapunov函数获得的饱和不确定系统的增益

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摘要

In this technical note, we provide sufficient conditions for global asymptotic stability and global ${cal L}_{2m}$ 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.

机译：在本技术说明中，我们为全局渐近稳定性和全局 $ {cal L} _ {2m} $ 增益提供了充分的条件基于分段多项式Lyapunov函数，估计具有结构化参数不确定性的饱和和/或死区的线性系统的估计。通过使用平方和弛豫，可以根据线性矩阵不等式来表述这些条件。实例研究用于比较说明所提出的技术。

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来源
《IEEE Transactions on Automatic Control》 |2013年第1期|242-246|共5页
作者
Garulli A.; Masi A.; Valmorbida G.; Zaccarian L.;
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作者单位

Dipartimento di Ingegneria dell'Informazione, Università di Siena, Siena, Italy;

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原文格式 PDF
正文语种 eng
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关键词
Asymptotic stability; Lyapunov methods; Polynomials; Stability analysis; Uncertainty; Vectors; formula formulatype="inline" tex Notation="TeX"${cal L}_{2m}$/tex/formula gain; polynomial Lyapunov functions; saturation; sum of squares;

机译：渐近稳定性;Lyapunov方法;多项式稳定性分析;不确定;向量;formula Formulatype =“ inline” tex Notation =“ TeX” $ {cal L} _ {2m} $ / tex / formula增益;多项式Lyapunov函数;饱和;平方和;

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Global Stability and Finite ${cal L}_{2m}$-Gain of Saturated Uncertain Systems via Piecewise Polynomial Lyapunov Functions

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