Equalization Control of Nonlinear Systems by Discrete Models of the Volterra Operators

Juan Alejandro Vazquez Feijoo; Sarahí Morales Pérez; Rodrigo Arturo Marquet Rivera; José Navarro Antonio; Guillermo Urriolagoitia Sosa; Beatriz Romero Angeles

doi:10.13053/CyS-26-4-3780

Equalization Control of Nonlinear Systems by Discrete Models of the Volterra Operators

Juan Alejandro Vazquez Feijoo, Sarahí Morales Pérez, Rodrigo Arturo Marquet Rivera, José Navarro Antonio, Guillermo Urriolagoitia Sosa, Beatriz Romero Angeles

Escuela Superior de Ingeniería Mecánica y Eléctrica (ESIME), Unidad Zacatenco

Research output: Contribution to journal › Article › peer-review

Abstract

The Associated linear equations (ALEs) are parametric models of the Volterra operators. With them, a Volterra inverse is constructed to be used as open loop control of continuous nonlinear systems. However, most of the actual control systems are of discrete nature, this work introduces the novel discrete version of the ALEs. This discrete version is a series of ARX models of the Volterra operators for both the direct and the inverse series. These discrete models of the ALEs are used for an equalization strategy to create an open loop control on a reported simulated Duffing Oscillator and a physical Duffing system constructed by analog circuits.

Original language	English
Pages (from-to)	1445-1457
Number of pages	13
Journal	Computacion y Sistemas
Volume	26
Issue number	4
DOIs	https://doi.org/10.13053/CyS-26-4-3780
State	Published - 2022

Keywords

ARX models
Associated linear equations
Volterra inverse
control systems
duffing oscillator
nonlinear systems

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10.13053/CyS-26-4-3780

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title = "Equalization Control of Nonlinear Systems by Discrete Models of the Volterra Operators",

abstract = "The Associated linear equations (ALEs) are parametric models of the Volterra operators. With them, a Volterra inverse is constructed to be used as open loop control of continuous nonlinear systems. However, most of the actual control systems are of discrete nature, this work introduces the novel discrete version of the ALEs. This discrete version is a series of ARX models of the Volterra operators for both the direct and the inverse series. These discrete models of the ALEs are used for an equalization strategy to create an open loop control on a reported simulated Duffing Oscillator and a physical Duffing system constructed by analog circuits.",

keywords = "ARX models, Associated linear equations, Volterra inverse, control systems, duffing oscillator, nonlinear systems",

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T1 - Equalization Control of Nonlinear Systems by Discrete Models of the Volterra Operators

AU - Vazquez Feijoo, Juan Alejandro

AU - Pérez, Sarahí Morales

AU - Marquet Rivera, Rodrigo Arturo

AU - Antonio, José Navarro

AU - Sosa, Guillermo Urriolagoitia

AU - Angeles, Beatriz Romero

PY - 2022

Y1 - 2022

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AB - The Associated linear equations (ALEs) are parametric models of the Volterra operators. With them, a Volterra inverse is constructed to be used as open loop control of continuous nonlinear systems. However, most of the actual control systems are of discrete nature, this work introduces the novel discrete version of the ALEs. This discrete version is a series of ARX models of the Volterra operators for both the direct and the inverse series. These discrete models of the ALEs are used for an equalization strategy to create an open loop control on a reported simulated Duffing Oscillator and a physical Duffing system constructed by analog circuits.

KW - ARX models

KW - Associated linear equations

KW - Volterra inverse

KW - control systems

KW - duffing oscillator

KW - nonlinear systems

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DO - 10.13053/CyS-26-4-3780

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SN - 1405-5546

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EP - 1457

JO - Computacion y Sistemas

JF - Computacion y Sistemas

IS - 4

ER -

Equalization Control of Nonlinear Systems by Discrete Models of the Volterra Operators

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