Internal State Identification for Black Box Systems

Authors

  • José de Jesús Medel Juárez cic ipn
  • Maria Teresa Zagaceta ESIME IPN

DOI:

https://doi.org/10.13053/cys-18-2-1906

Keywords:

Digital filter, estimation, functional error, identification, stochastic gradient, reference model

Abstract

In digital filter theory, the identification process describes internal dynamic states based on a reference system, commonly known as a black box. The identification process as a function of: a) transition function, b) identified delayed states, c) gain function which depends on convergence correlation error, and d) an innovation process based on the error described by the differences between the output reference system and the identification result. Unfortunately, in the black box concept, the exponential transition function considers the unknown internal parameters. This means that the identification process does not operate correctly because its transition function has no access to the internal dynamic gain. An approximation for solving this problem includes the estimation in the identification technique. This paper presents an estimation for a "single input single output" (SISO) system with stationary properties applied to internal state identification.

Author Biographies

José de Jesús Medel Juárez, cic ipn

Doctor (1998) and M.Sc. (1996) in Electrical Engineering (Automatic Control) graduated from the Centre for Research and Advanced Studies is Aeronautical Engineering (1994) graduated from the School of Mechanical and Electrical Engineering, all from the National Polytechnic Institute Mexico, currently a member of the Mexican Academy of Sciences, Research professor of Computing Research Center and Visiting Professor of Research Center for Applied Science and Technology. His publications include two books, half a dozen articles in refereed journals strict (ISI, IEE and CONACyT), about fifty items at length presented in national and international conferences and various popular science publications, has directed several theses doctoral, master and bachelor and various research projects. It has numerous awards: National Researcher Level I (SNI I from 1999), honorary degrees of Master of Educational Management and Latin American Educator Honorable granted by the Ibero-American Council for Educational Quality Honor is CONACYT project reviewer and had the prize best paper first doctoral student awarded by the CINVESTAV. His areas of research are: Digital Filtering, Control Theory and Real-Time Systems t75G� ath<��`: style='position:absolute;left:0;text-align:left;margin-left:4.85pt; margin-top:-12pt;width:74.45pt;height:78.1pt;z-index:-251649024;visibility:visible; mso-wrap-style:square;mso-wrap-distance-left:9pt;mso-wrap-distance-top:0; mso-wrap-distance-right:9pt;mso-wrap-distance-bottom:0; mso-position-horizontal:absolute;mso-position-horizontal-relative:text; mso-position-vertical:absolute;mso-position-vertical-relative:text'> A graduate of the PhD program in Technology (2009) developed the theme of adaptive digital filtering, obtained the degree of Master in Technology (2006) both to be sent to the Centre for Research in Applied Science and Advanced Technology-unit Legaria, graduated from the School of Mechanical and Electrical Engineering-UPA as Industrial Engineer in Robotics (2003). Participation in National and International conferences and published in full. Participation in projects PIFI the IPN. Member of the National System of Researchers  

Maria Teresa Zagaceta, ESIME IPN

A graduate of the PhD program in Technology (2009) developed the theme of adaptive digital filtering, obtained the degree of Master in Technology (2006) both to be sent to the Centre for Research in Applied Science and Advanced Technology-unit Legaria, graduated from the School of Mechanical and Electrical Engineering-UPA as Industrial Engineer in Robotics (2003). Participation in National and International conferences and published in full. Participation in projects PIFI the IPN. Member of the National System of Researchers

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Published

2014-06-30