Método iterativo para cômputo da norma e controle L1 de sistemas lineares contínuos no tempo

Ariadne de Lourdes Justi Bertolin; Ricardo C. L. F. Oliveira; Pedro L. D. Peres

doi:10.20906/sbai.v1i1.2779

Método iterativo para cômputo da norma e controle L1 de sistemas lineares contínuos no tempo

Translated title of the contribution: Iterative method for computing the norm and L1 control of continuous-time linear systems

Ariadne de Lourdes Justi Bertolin, Ricardo C. L. F. Oliveira, Pedro L. D. Peres

Universidade Estadual de Campinas

Research output: Chapter or section in a book/report/conference proceeding › Chapter in a published conference proceeding

Abstract

This work proposes an iterative method based on Linear Matrix Inequalities (LMIs) for the calculation of a limiting L1 norm (or peak-to-peak gain) of time-continuous linear systems. Competitive in terms of accuracy and efficiency when compared to the usual strategy, which requires searching in a scalar parameter, the method has the advantage of direct extension to treat the L1 control problem by state or output feedback. Numerical examples illustrate the results.

Translated title of the contribution	Iterative method for computing the norm and L1 control of continuous-time linear systems
Original language	Portuguese (Brazil)
Title of host publication	Procedings do XV Simpósio Brasileiro de Automação Inteligente
Publisher	SBA
Volume	1
Edition	1
DOIs	https://doi.org/10.20906/sbai.v1i1.2779
Publication status	Published - 20 Oct 2021
Externally published	Yes
Event	XV Simpósio Brasileiro de Automação Inteligente - Fortaleza, Brazil Duration: 17 Oct 2021 → 20 Oct 2021

Publication series

Name	Simpósio Brasileiro de Automação Inteligente
Publisher	SBA
ISSN (Electronic)	2175-8905

Conference

Conference	XV Simpósio Brasileiro de Automação Inteligente
Country/Territory	Brazil
City	Fortaleza
Period	17/10/21 → 20/10/21

Access to Document

10.20906/sbai.v1i1.2779

Cite this

Método iterativo para cômputo da norma e controle L1 de sistemas lineares contínuos no tempo. / Bertolin, Ariadne de Lourdes Justi; Oliveira, Ricardo C. L. F.; Peres, Pedro L. D.
Procedings do XV Simpósio Brasileiro de Automação Inteligente. Vol. 1 1. ed. SBA, 2021. (Simpósio Brasileiro de Automação Inteligente).

Research output: Chapter or section in a book/report/conference proceeding › Chapter in a published conference proceeding

Bertolin, ADLJ, Oliveira, RCLF & Peres, PLD 2021, Método iterativo para cômputo da norma e controle L1 de sistemas lineares contínuos no tempo. in Procedings do XV Simpósio Brasileiro de Automação Inteligente. 1 edn, vol. 1, Simpósio Brasileiro de Automação Inteligente, SBA, XV Simpósio Brasileiro de Automação Inteligente , Fortaleza, Brazil, 17/10/21. https://doi.org/10.20906/sbai.v1i1.2779

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abstract = "This work proposes an iterative method based on Linear Matrix Inequalities (LMIs) for the calculation of a limiting L1 norm (or peak-to-peak gain) of time-continuous linear systems. Competitive in terms of accuracy and efficiency when compared to the usual strategy, which requires searching in a scalar parameter, the method has the advantage of direct extension to treat the L1 control problem by state or output feedback. Numerical examples illustrate the results.",

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AB - This work proposes an iterative method based on Linear Matrix Inequalities (LMIs) for the calculation of a limiting L1 norm (or peak-to-peak gain) of time-continuous linear systems. Competitive in terms of accuracy and efficiency when compared to the usual strategy, which requires searching in a scalar parameter, the method has the advantage of direct extension to treat the L1 control problem by state or output feedback. Numerical examples illustrate the results.

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M3 - Chapter in a published conference proceeding

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Y2 - 17 October 2021 through 20 October 2021

ER -

Método iterativo para cômputo da norma e controle L1 de sistemas lineares contínuos no tempo

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