In this paper we propose an iterative method to solve an optimal control problem, with fuzzy target and constraints. A solving ethod is developed for such type of problem, under quite general hypotheses. The algorithm is developed in such a way as to satisfy as best as possible both the target function and all the constraints. It consists of an iterative procedure, which modifies the admissible region with the aim to increase at each step the global performance. Even if the procedure is quite general, the algorithm can be applied only if a method exists to solve a crisp parametric sub-problem obtained by the original one. This is the case for a quadratic-linear target function with linear constraints, for which some well established solvable methods exist for the crisp associated sub-problem. The algorithm is particularized to this case, and a numerical test is proposed, showing the quick convergence to the optimal solution.

A bisection algorithm for fuzzy quadratic optimal control problems

GIOVE, Silvio
2007-01-01

Abstract

In this paper we propose an iterative method to solve an optimal control problem, with fuzzy target and constraints. A solving ethod is developed for such type of problem, under quite general hypotheses. The algorithm is developed in such a way as to satisfy as best as possible both the target function and all the constraints. It consists of an iterative procedure, which modifies the admissible region with the aim to increase at each step the global performance. Even if the procedure is quite general, the algorithm can be applied only if a method exists to solve a crisp parametric sub-problem obtained by the original one. This is the case for a quadratic-linear target function with linear constraints, for which some well established solvable methods exist for the crisp associated sub-problem. The algorithm is particularized to this case, and a numerical test is proposed, showing the quick convergence to the optimal solution.
2007
2
File in questo prodotto:
File Dimensione Formato  
Bisection algorithm (Giove).pdf

non disponibili

Tipologia: Documento in Post-print
Licenza: Accesso chiuso-personale
Dimensione 186.43 kB
Formato Adobe PDF
186.43 kB Adobe PDF   Visualizza/Apri

I documenti in ARCA sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10278/4150
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus ND
  • ???jsp.display-item.citation.isi??? ND
social impact