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OPTIMAL CONTROL OF FUZZY LINEAR CONTROLLED SYSTEM WITH FUZZY INITIAL CONDITIONS | ||
| Iranian Journal of Fuzzy Systems | ||
| مقاله 3، دوره 10، شماره 3، شهریور 2013، صفحه 21-35 اصل مقاله (546.09 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22111/ijfs.2013.807 | ||
| نویسندگان | ||
| Marzieh Najariyan* 1؛ Mohamad Hadi Farahi2 | ||
| 1Department of Applied Mathematics, Ferdowsi University of Mashhad, Mashhad, Iran | ||
| 2Department of Applied Mathematics, Ferdowsi University of Mashhad, Mashhad, Iran and The center of Excellence on Modelling and Control Systems (CEMCS) | ||
| چکیده | ||
| 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 eective to solve fuzzy and fuzzy optimal linear controlled systems. | ||
| کلیدواژهها | ||
| Fuzzy linear controlled system؛ Optimal fuzzy controlled system؛ PMP | ||
| مراجع | ||
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