Stability Analysis of Sampled-Data Systems Using Sum of Squares

This technical brief proposes a new approach to stability analysis of linear systems with sampled-data inputs or channels. The method, based on a variation of the discrete-time Lyapunov approach, provides stability conditions using functional variables subject to convex constraints. These stability...

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Published inIEEE transactions on automatic control Vol. 58; no. 6; pp. 1620 - 1625
Main Authors Seuret, A., Peet, M. M.
Format Journal Article
LanguageEnglish
Published IEEE 01.06.2013
Institute of Electrical and Electronics Engineers
Subjects
Asymptotic stability
Automatic
Control systems
Delay
Engineering Sciences
Lyapunov function
Numerical stability
Polynomials
sampled-data systems
Stability criteria
sum of squares
Sampled-Data systems
Lyapunov function
Sum of Squares
Online AccessGet full text
ISSN0018-9286
1558-2523
DOI10.1109/TAC.2012.2232378

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Abstract This technical brief proposes a new approach to stability analysis of linear systems with sampled-data inputs or channels. The method, based on a variation of the discrete-time Lyapunov approach, provides stability conditions using functional variables subject to convex constraints. These stability conditions can be solved using the sum of squares methodology with little or no conservatism in both the case of synchronous and asynchronous sampling. Numerical examples are included to show convergence.
AbstractList This article proposes a new approach to stability analysis of linear systems with sampled-data inputs or channels. The method, based on a variation of the discrete-time Lyapunov approach, provides stability conditions using functional variables subject to convex constraints. These stability conditions can be solved using the sum of squares methodology with little or no conservatism in both the case of synchronous and asynchronous sampling. Numerical examples are included to show convergence.
This technical brief proposes a new approach to stability analysis of linear systems with sampled-data inputs or channels. The method, based on a variation of the discrete-time Lyapunov approach, provides stability conditions using functional variables subject to convex constraints. These stability conditions can be solved using the sum of squares methodology with little or no conservatism in both the case of synchronous and asynchronous sampling. Numerical examples are included to show convergence.
Author Seuret, A.
Peet, M. M.
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Keywords Sampled-Data systems
Lyapunov function
Sum of Squares
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Snippet This technical brief proposes a new approach to stability analysis of linear systems with sampled-data inputs or channels. The method, based on a variation of...
This article proposes a new approach to stability analysis of linear systems with sampled-data inputs or channels. The method, based on a variation of the...
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SubjectTerms Asymptotic stability
Automatic
Control systems
Delay
Engineering Sciences
Lyapunov function
Numerical stability
Polynomials
sampled-data systems
Stability criteria
sum of squares
Title Stability Analysis of Sampled-Data Systems Using Sum of Squares
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