A Novel Successive Approximation Method for Solving a Class of Optimal Control Problems
Publish place: Caspian Journal of Mathematical Sciences، Vol: 9، Issue: 1
Publish Year: 1399
نوع سند: مقاله ژورنالی
زبان: English
View: 228
This Paper With 13 Page And PDF Format Ready To Download
- Certificate
- من نویسنده این مقاله هستم
استخراج به نرم افزارهای پژوهشی:
شناسه ملی سند علمی:
JR_CJMS-9-1_008
تاریخ نمایه سازی: 27 بهمن 1399
Abstract:
This paper presents a successive approximation method (SAM) for solving a large class of optimal control problems. The proposed analytical-approximate method, successively solves the Two-Point Boundary Value Problem (TPBVP), obtained from the Pontryagin's Maximum Principle (PMP). The convergence of this method is proved and a control design algorithm with low computational complexity is presented. Through the finite number of algorithm iterations, a suboptimal control law is obtained for the optimal control problem. An illustrative example is given to demonstrate the efficiency of the proposed method.
Keywords:
Authors
محمد شیرازیان
Department of mathematics, Faculty of basic sciences, University of Neyshabur, Neyshabur, IRAN.
سهراب عفتی
Department of Applied Mathematics, Ferdowsi University of Mashhad, Mashhad, Iran.