Nash solution as a multi-criteria decision making technique for control problems

• Helem Sabina Sánchez ^[1] ; Ramón Vilanova ^[1] ; Antonio Visioli ^[2] ; Orlando Arrieta ^[3]
  1. [1] Universitat Autònoma de Barcelona

     Universitat Autònoma de Barcelona

     Barcelona, España

     
  2. [2] Università degli Studi di Brescia

     Università degli Studi di Brescia

     Brescia, Italia

     
  3. [3] 3Universidad de Costa Rica

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• Localización: Actas de las XXXVII Jornadas de Automática: Madrid. 7, 8 y 9 de septiembre de 2016, 2016, ISBN 978-84-9749-808-1, págs. 1243-1249
• Idioma: inglés
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• Resumen

  • A control system problem can be viewed as a multiobjective problem due to the fact that there are many requirements to be satisfied. Nowadays, multi-objective optimization deals with this kind of problem by implementing optimization techniques, capable of searching for the Pareto set approximation, hereafter the designer needs to select the best solution that provides a good trade-off among the competitve objectives from the Pareto front approximation. Therefore, in this communication we address the problem of selecting the best trade-off between the conflictive objectives, this stage is called the Multi-Criteria Decision Making (MCDM). In this paper we propose to use the Nash solution as a tuning technique to select the design alternative to implement on the control system. This selection is compared with others Proportional-Integral (PI) tuning rules on the literature.