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Title

The Numerical Solution of Nonlinear Optimal Control Problems by Using Operational Matrix of Bernstein Polynomials

The Numerical Solution of Nonlinear Optimal Control Problems by Using Operational Matrix of Bernstein Polynomials
Year: 1400
COI: JR_MACO-2-1_002
Language: EnglishView: 108
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Authors

Najmeh Ghaderi - Ferdowsi University of Mashhad
Mohammad Hadi Farahi - Ferdowsi University of Mashhad

Abstract:

‎A numerical approach based on Bernstein polynomials is presented to unravel optimal control of nonlinear systems. The operational matrices of differentiation, integration and product are introduced. Then, these matrices are implemented to decrease the solution of nonlinear optimal control problem to the solution of the quadratic programming problem which can be solved with many algorithms and softwares. This method is easy to implement it with an accurate solution. Some examples are included to demonstrate the validity and applicability of the technique.

Keywords:

Optimal control of nonlinear systems , Operational matrix of Bernstein polynomials , Quadratic programming problem.

Paper COI Code

This Paper COI Code is JR_MACO-2-1_002. Also You can use the following address to link to this article. This link is permanent and is used as an article registration confirmation in the Civilica reference:

https://civilica.com/doc/1241426/

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Ghaderi, Najmeh and Farahi, Mohammad Hadi,1400,The Numerical Solution of Nonlinear Optimal Control Problems by Using Operational Matrix of Bernstein Polynomials,https://civilica.com/doc/1241426

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