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This paper presents a new approach to solve a class of nonlinear optimal control problems which have a quadratic performance index. In this approach, the nonlinear two-point boundary value problem (TPBVP), derived from the Pontryagin’s maximum principle, is transformed into a sequence of linear time-invariant TPBVP’s. Solving the proposed linear TPBVP… (More)

1 Amin Jajarmi, 2 Hamidreza Ramezanpour, 3 Arman sargolzaei, 4 Pouyan Shafaei *1,Corresponding Electrical Engineering Department, Ferdowsi University of Mashhad, Mashhad, Iran, jajarmi@stu-mail.um.ac.ir Nuclear Engineering and Physics Department, Amirkabir University of Technology, Tehran, Iran, h.ramezanpour@aut.ac.ir Electrical and Computer Engineering… (More)

In this paper, a new approach is proposed to solve nonlinear boundary value problems (BVPs). In this approach, the original nonlinear BVP transforms into a sequence of linear BVPs. Solving the proposed linear BVP sequence in a recursive manner leads to the exact solution of original problem in the form of uniformly convergent series. Hence, to obtain the… (More)

- Amin Jajarmi, Naser Pariz, Sohrab Effati, Ali Vahidian Kamyad
- Journal of Zhejiang University SCIENCE C
- 2011

This paper presents a new approach for solving a class of infinite horizon nonlinear optimal control problems (OCPs). In this approach, a nonlinear two-point boundary value problem (TPBVP), derived from Pontryagin’s maximum principle, is transformed into a sequence of linear time-invariant TPBVPs. Solving the latter problems in a recursive manner provides… (More)

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