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



Document title: Equalization Control of Nonlinear Systems by Discrete Models of the Volterra Operators
Journal: Computación y sistemas
Database:
System number: 000560752
ISSN: 1405-5546
Authors: 1
2
1
2
1
1
Institutions: 1Instituto Politécnico Nacional, Escuela Superior de Ingeniería Mecánica y Eléctrica, México
2Instituto Politécnico Nacional, Centro Interdisciplinario de Investigación para el Desarrollo Integral Regional-Oaxaca, México
Year:
Season: Oct-Dic
Volumen: 26
Number: 4
Pages: 1445-1457
Country: México
Language: Inglés
English 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.
Keyword: Associated linear equations,
Volterra inverse,
ARX models,
Duffing oscillator,
Nonlinear systems,
Control systems
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