Application Optimal Control for a Problem Aircraft Flight | Zendy

Kahina Louadj | Zendy; P. Spitéri | Zendy; Fethi Demim | Zendy; Mohamed Aidène | Zendy; Abdelkrim Nemra | Zendy; Frédéric Messine | Zendy

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Application Optimal Control for a Problem Aircraft Flight

Author(s) -

Kahina Louadj,

P. Spitéri,

Fethi Demim,

Mohamed Aidène,

Abdelkrim Nemra,

Frédéric Messine

Publication year - 2018

Publication title -

journal of engineering science and technology review

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.19

H-Index - 28

eISSN - 1791-9320

pISSN - 1791-2377

DOI - 10.25103/jestr.111.19

Subject(s) - pontryagin's minimum principle , optimal control , convergence (economics) , constraint (computer aided design) , mathematical optimization , maximum principle , state (computer science) , control theory (sociology) , control (management) , shooting method , computer science , mathematics , algorithm , artificial intelligence , boundary value problem , mathematical analysis , geometry , economics , economic growth

Our aim is to solve a problem of optimal control with free final time using the Pontryagin's maximum principle. As an illustration, we consider a navigation problem which is solved analytically and numerically by the shooting method in the case without constraint. The two approaches are compared. In the second case, we solve numerically the same problem with constraint on the state. At the end, we prove the convergence of the method for the second case.

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