Optimal fuzzy control with application to discounted cost production inventory planning problem

Baten M. A., KAMIL A. A.

World Congress on Engineering 2010, WCE 2010, London, England, 30 June - 02 July 2010, vol.3, pp.1898-1902, (Full Text) identifier

  • Publication Type: Conference Paper / Full Text
  • Volume: 3
  • City: London
  • Country: England
  • Page Numbers: pp.1898-1902
  • Keywords: Fuzzy control system, Fuzzy optimal control, Linear quadratic problem, Production planning
  • Istanbul Gelisim University Affiliated: No

Abstract

A fuzzy optimal control model was formulated minimizing the objective function with discounted cost for the length of infinite horizon. We developed an equation of optimality in case of fuzzy optimal control problem. We revisited a special fuzzy control model with quadratic objective functional form for linear Liu's fuzzy control system. As an application, we investigated the infinite horizon production inventory planning problem with nonzero discount rate. We employed fuzzy optimal control to model inventory production planning problem with fuzzy variables and solved.