OPTIMAL CONTROL OF FUZZY LINEAR CONTROLLED SYSTEM WITH FUZZY INITIAL CONDITIONS

In this article we found the solution of fuzzy linear controlled system with fuzzy initial conditions by using -cuts and presentation of numbers in a more compact form by moving to the eld of complex numbers. Next, a fuzzy optimal control problem for a fuzzy system is considered to optimize the expected value of a fuzzy objective function. Based on Pontryagin Maximum Principle, a constructive equation for the problem is presented. In the last section, three examples are used to show that the method in e ective to solve fuzzy and fuzzy optimal linear controlled systems.