OPTIMAL CONTROL OF FUZZY LINEAR CONTROLLED SYSTEM WITH FUZZY INITIAL CONDITIONS

Authors

  • Marzieh Najariyan Department of Applied Mathematics, Ferdowsi University of Mashhad, Mashhad, Iran
  • Mohamad Hadi Farahi Department of Applied Mathematics, Ferdowsi University of Mashhad, Mashhad, Iran and The center of Excellence on Modelling and Control Systems (CEMCS)
Abstract:

In this article we found the solution of fuzzy linear controlled systemwith fuzzy initial conditions by using -cuts and presentation of numbersin a more compact form by moving to the eld of complex numbers. Next, afuzzy optimal control problem for a fuzzy system is considered to optimize theexpected value of a fuzzy objective function. Based on Pontryagin MaximumPrinciple, a constructive equation for the problem is presented. In the lastsection, three examples are used to show that the method in eective to solvefuzzy and fuzzy optimal linear controlled systems.

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Journal title

volume 10  issue 3

pages  21- 35

publication date 2013-06-30

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