پديد آورنده :
ابراهيمي، بتول
عنوان :
حل مسائل كنترل بهينه خطي با محدوديت با استفاده از تركيب توابع بلاك - پالس و چند جمله اي هاي لژاندر
مقطع تحصيلي :
كارشناسي ارشد
گرايش تحصيلي :
رياضي كاربردي
محل تحصيل :
اصفهان: دانشگاه صنعتي اصفهان، دانشكده علوم رياضي
صفحه شمار :
نه، [۱۰۰]ص.: مصور، جدول، نمودار
استاد راهنما :
حميدرضا مرزبان
واژه نامه :
انگليسي به فارسي
توصيفگر ها :
كنترل بهينه , چند جمله اي هاي لژاندر , توابع بلاك - پالس , توابع تركيبي , ماتريس عملياتي انتگرال , محدوديت هاي نامساوي
استاد داور :
محسن مجيري، محمود منجگاني
تاريخ ورود اطلاعات :
1396/11/03
چكيده انگليسي :
Solution of linear constrained optimal control problems via a hybrid of block pulse functions and Legendre polynomials Batool Ebrahimi batool ebrahimi@math iut ac ir 2018 Department of Mathematical Sciences Isfahan University of Technology Isfahan 84156 83111 Iran Supervisor Dr Hamid Reza Marzban hmarzban@cc iut ac ir 2014 MSC 41A10 49J15 49M25 93C10 65K05 Keywords optimal control block pulse functions Legendre polynomials hybrid functions oper ational matrix of integration inequality constraint AbstractIn this thesis the objective is to provide an e cient and e ective numerical method for solving theoptimal control problems of linear systems with a quadratic performance index and inequality con straints on the state and control variables based on articles by H R Marzban and M Razzaghi 2003 H R Marzban and S M Hoseini 2014 There are many methods for numerically solving optimalcontrol problems Numerical methods for solving optimal control problems are typically describedunder two categories direct methods and indirect methods Historically many early numerical meth ods were based on nding solutions to satisfy a set of necessary optimality conditions resulting fromPontryagin s Maximum Principle These methods are collectively called indirect methods Thereare many successful implementations of indirect methods including launch vehicle trajectory design low thrust orbit transfer etc Although indirect methods have some excellent properties they havemany drawbacks For instance the boundary value problem resulting from the necessary optimalityconditions is extremely sensitive to initial guesses In addition these necessary conditions must beexplicitly derived Over the past two decades an alternative approach based on discrete approxima tions has gained wide popularity as a result of signi cant progress in large scale computation androbustness of the approach The essential idea of this method is to discretize the optimal control
استاد راهنما :
حميدرضا مرزبان
استاد داور :
محسن مجيري، محمود منجگاني
