پديد آورنده :
حاج ناصر، سيما
عنوان :
حل مسايل كنترل بهينه خطي تاخيري با محدوديت با استفاده از توابع تركيبي بلاك - پالس و چند جمله اي هاي لاگرانژ
مقطع تحصيلي :
كارشناسي ارشد
گرايش تحصيلي :
رياضي كاربردي
محل تحصيل :
اصفهان: دانشگاه صنعتي اصفهان، دانشكده علوم رياضي
صفحه شمار :
ده، 114ص.:نمودار
استاد راهنما :
حميدرضا مرزبان
واژه نامه :
به فارسي و انگليسي
توصيفگر ها :
ماتريس عملياتي تاخير , محدوديت هاي نامساوي
استاد داور :
فريد شيخ الاسلام، حميدرضا ظهوري زنگنه
تاريخ ورود اطلاعات :
1395/01/14
چكيده انگليسي :
Solution of linear delay optimal control problems with inequality constraints using hybrid of block pulse functions and Lagrange plynomials Sima Hajnaseri s hajnaseri@math iut ac ir 2016 Department of Mathematical Sciences Isfahan University of Technology Isfahan 84156 83111 Iran Supervisor Dr Hamid Reza Marzban hmarzban@cc iut ac ir 2010 MSC 60T65 34A34 15J49 Keywords block pulse functions Lagrange interpolating polynomials hybrid functions opera tional matrix inequality constraint AbstractTime delays are frequently encountered in various elds of applications Many real life phenomenaand practical systems can be described by delay di erential equations Time delays arise in diverseareas of science and engineering such as nuclear reactions rolling mills hydraulic systems chemicalprocesses transmission lines robotics and communication networks It is noted that the exact solutionof a time delay system is a piecewise smooth function For this reason piecewise constant basisfunctions such as block pulse functions or continuous basis functions including Lagrange interpolatingpolynomials cannot provide a satisfactory approximation for the mentioned systems In this thesis ahybrid approximation scheme is successfully employed for solving linear optimal control problems withinequality constraints on the state and control variables This thesis includes two parts The rst partis devoted to the numerical solution of constrained linear optimal control problems with a quadraticperformance index The second part is concerned with the numerical investigation of linear delayedoptimal control problems with inequality constraints on the state and control variables Numericalmethods for solving optimal control problems are classi ed into two categories direct methods andindirect methods The foundation of the indirect methods is based on the necessary conditions ofoptimality resulting from Pontryagin s maximum principle These methods are collectively called
استاد راهنما :
حميدرضا مرزبان
استاد داور :
فريد شيخ الاسلام، حميدرضا ظهوري زنگنه
