پديد آورنده :
آقابابايي دهاقاني، نسرين
عنوان :
كنترل بهينه سيستم هاي خطي تاخيري قطعه اي ثابت با استفاده از توابع تركيبي لژاندار- بلاك پالس
مقطع تحصيلي :
كارشناسي ارشد
گرايش تحصيلي :
رياضي كاربردي
محل تحصيل :
اصفهان: دانشگاه صنعتي اصفهان، دانشكده علوم رياضي
صفحه شمار :
يازده، 136ص.: مصور
يادداشت :
ص.ع. به فارسي و انگليسي
استاد راهنما :
حميدرضا مرزبان
توصيفگر ها :
چند جمله اي هاي لژاندر , توابع بلاك پالس , ماتريس عملياتي تاخير
تاريخ نمايه سازي :
94/2/16
استاد داور :
جواد عسگري، محمود منجگاني
تاريخ ورود اطلاعات :
1396/09/27
چكيده انگليسي :
Optimal control of linear piecewiseconstant delay systems using a hybrid of block pulse and Legendre polynomials Nasrin Aghababayi Dehaghani n aghababayi@math iut ac ir 2014 Department of Mathematical Sciences Isfahan University of Technology Isfahan 84156 83111 Iran Supervisor Dr Hamid Reza Marzban hmarzban@cc iut ac ir 2010 MSC 05C15 53C42 Keywords optimal control Legendre polynomials block pulse function delay hybrid function AbstractIn this thesis an e cient approximation scheme is successfully developed for solving linear optimalcontrol problems with a piecewise constant delay function Time delays are frequently encountered invarious elds of science and engineering such as chemical processes transmission lines power systems biological methods communication networks economics and nance It is known that except forsome simple cases It is extremely di cult or impossible to derive A closed form solution for sucha class of systems Indeed time delay systems is one of the most important subject in optimalcontrol theory The situation becomes much more complicated when time delay is a piecewise constantfunction Accordingly an e cient and e ective numerical method has to be adopted Up to now many research works have been dedicated to the numerical treatment and theoretical aspects of optimalcontrol problems with a constant delay To our knowledge linear optimal control problems involvinga piecewise constant function has not yet been considered in the literature The main purpose of thisthesis is to propose a hybrid approximation method for solving the mentioned problems The methodis based on a hybrid of block pulse functions and Legendre polynomials It is worth noting that theexact solution of a delayed optimal control problems is a piecewise smooth function Accordingly none of the smooth basis functions is able to provide a satisfactory approximation for such a classof systems It should be mentioned that the approximation of a piecewise smooth function by a nite number of smooth functions often fails to converge This is due to the existence of the well known Gibbs phenomenon The exact response of these systems cannot be obtained solely either by
استاد راهنما :
حميدرضا مرزبان
استاد داور :
جواد عسگري، محمود منجگاني
