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

Authors

  • Juan Alejandro Vazquez Feijoo INSTITUTO POLITECNICO NACIONAL
  • Sarahí Morales Perez INSTITUTO POLITECNICO NACIONAL
  • Rodrigo Arturo Marquet Rivera INSTITUTO POLITECNICO NACIONAL
  • José Navarro Antonio INSTITUTO POLITECNICO NACIONAL
  • Guillermo Urriolagoitia Sosa INSTITUTO POLITECNICO NACIONAL
  • Beatriz Romero Angeles INSTITUTO POLITECNICO NACIONAL

DOI:

https://doi.org/10.13053/cys-26-4-3780

Abstract

The Associated linear equations (ALEs) are parametric models of the Volterra operators. Whit them, a Volterra inverse is constructed with the objective of been 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 in order to create an open loop control on a reported simulated Duffing Oscillator and a physical Duffing system constructed by analog circuits.

Author Biographies

Juan Alejandro Vazquez Feijoo, INSTITUTO POLITECNICO NACIONAL

PROFESOR TITULARSEPI ESIME Zacatenco

Sarahí Morales Perez, INSTITUTO POLITECNICO NACIONAL

CIIDIR Oaxaca, Academia de ingeniería 

Rodrigo Arturo Marquet Rivera, INSTITUTO POLITECNICO NACIONAL

Posgraduate studentSEPI ESIME Zacatenco

José Navarro Antonio, INSTITUTO POLITECNICO NACIONAL

PROFESOR TITULARCIIDIR Oaxaca, Academia de ingeniería 

Guillermo Urriolagoitia Sosa, INSTITUTO POLITECNICO NACIONAL

PROFESOR TITULARSEPI ESIME Zacatenco

Beatriz Romero Angeles, INSTITUTO POLITECNICO NACIONAL

PROFESOR TITULARSEPI ESIME Zacatenco

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Published

2022-12-25

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Section

Articles