MULTIMODEL DISCRETE CONTROL WITH ONLINE UPDATING OF THE FRACTIONAL ORDER HOLD GAINS

  • Authors:
  • A. Bilbao-Guillerna;M. De la Sen;S. Alonso-Quesada

  • Affiliations:
  • Facultad de Ciencia y Tecnología, Instituto de Investigación y Desarrollo de Procesos, Universidad del País Vasco, Bilbao, Spain;Facultad de Ciencia y Tecnología, Instituto de Investigación y Desarrollo de Procesos, Universidad del País Vasco, Bilbao, Spain;Facultad de Ciencia y Tecnología, Instituto de Investigación y Desarrollo de Procesos, Universidad del País Vasco, Bilbao, Spain

  • Venue:
  • Cybernetics and Systems
  • Year:
  • 2007

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Abstract

A multiestimation scheme for adaptive discrete-time control is presented. The different models of the scheme to be estimated are obtained from a set of different discretizations of a continuous-time unknown transfer function under a fractional order hold of correcting gain (β-FROH) which leads to distinct associate discrete-time models for the given continuous-time plant. The objective is to design a scheme being able to find the most appropriate value for the gain β to enhance the identification and tracking performances. The scheme chooses online the value of β with the best reference tracking performance by implementing eventually switches through time among a prefixed set of values characterizing the discrete models of the plant in a parallel multiestimation scheme. The switching rule is subjected to a minimum residence time in order to guarantee the closed loop stability. Simulations for two different practical cases, a controlled DC motor and a resonant circuit, are presented.