OPTIMAL CONTROL OF FUZZY LINEAR CONTROLLED SYSTEM WITH FUZZY INITIAL CONDITIONS

نویسندگان
Najariyan, Marzieh ID 1
Farahi, Mohamad Hadi ID 2

1 Department of Applied Mathematics, Ferdowsi University of Mashhad, Mashhad, Iran

2 Department of Applied Mathematics, Ferdowsi University of Mashhad, Mashhad, Iran and The center of Excellence on Modelling and Control Systems (CEMCS)

doi
10.22111/ijfs.2013.807
چکیده

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 e ective to solvefuzzy and fuzzy optimal linear controlled systems.

کلیدواژه‌ها
Fuzzy linear controlled system, Optimal fuzzy controlled system, PMP