An application of differential transform method for solving nonlinear optimal control problems
Authors
Abstract:
In this paper, we present a capable algorithm for solving a class of nonlinear optimal control problems (OCP's). The approach rest mainly on the differential transform method (DTM) which is one of the approximate methods. The DTM is a powerful and efficient technique for finding solutions of nonlinear equations without the need of a linearization process. Utilizing this approach, the optimal control and the corresponding trajectory of the OCP's are found in the form of rapidly convergent series with easily computed components. Numerical results are also given for several test examples to demonstrate the applicability and the efficiency of the method.
similar resources
an application of differential transform method for solving nonlinear optimal control problems
in this paper, we present a capable algorithm for solving a class of nonlinear optimal control problems (ocp's). the approach rest mainly on the differential transform method (dtm) which is one of the approximate methods. the dtm is a powerful and efficient technique for finding solutions of nonlinear equations without the need of a linearization process. utilizing this approach, the optim...
full textSolving The Optimal Control Problems Using Homotopy Perturbation Transform Method
Inthispaper,wesolveHamilton-Jocobi-Bellman(HJB)equationsarisinginoptimalcontrolproblems usingHomotopyPerturbationTransformMethod(HPTM).Theproposedmethodisacombinedform oftheLaplaceTransformationMethodwiththeHomotopyPerturbationMethodtoproduceahighly effectivemethodtohandlemanyproblems. ApplyingtheHPTM,solutionprocedurebecomeseasier, simplerandmorestraightforward. Someillustrativeexamplesaregive...
full textIntegrating Differential Evolution Algorithm with Modified Hybrid GA for Solving Nonlinear Optimal Control Problems
‎Here‎, ‎we give a two phases algorithm based on integrating differential evolution (DE) algorithm with modified hybrid genetic algorithm (MHGA) for solving the associated nonlinear programming problem of a nonlinear optimal control problem‎. ‎In the first phase‎, ‎DE starts with a completely random initial population where each individual‎, ‎or solution‎...
full textA Method for Solving Optimal Control Problems Using Genetic Programming
This paper deals with a novel method for solving optimal control problems based on genetic programming. This approach produces some trial solutions and seeks the best of them. If the solution cannot be expressed in a closed analytical form then our method produces an approximation with a controlled level of accuracy. Using numerical examples, we will demonstrate how to use the results.
full textA monotonic method for solving nonlinear optimal control problems
Initially introduced in the framework of quantum control, the so-called monotonic algorithms have demonstrated excellent numerical results when dealing with various bilinear optimal control problems. This paper presents a unified formulation that can be applied to more nonlinear settings. In this framework, we show that the well-posedness of the general algorithm is related to a nonlinear evolu...
full textintegrating differential evolution algorithm with modified hybrid ga for solving nonlinear optimal control problems
here, we give a two phases algorithm based on integrating differential evolution (de) algorithm with modified hybrid genetic algorithm (mhga) for solving the associated nonlinear programming problem of a nonlinear optimal control problem. in the first phase, de starts with a completely random initial population where each individual, or solution, is a random matrix of control input v...
full textMy Resources
Journal title
volume 3 issue 3
pages 200- 217
publication date 2015-07-01
By following a journal you will be notified via email when a new issue of this journal is published.
Hosted on Doprax cloud platform doprax.com
copyright © 2015-2023