scholarly journals Application of the generalized inverse interval method of global constrained optimization for optimal program control problem

Author(s):  
А.В. Пантелеев ◽  
◽  
В.Н. Пановский ◽  
2021 ◽  
Author(s):  
Etienne Bertin ◽  
Elliot Brendel ◽  
Bruno Hérissé ◽  
Julien Alexandre dit Sandretto ◽  
Alexandre Chapoutot

An interval method based on the Pontryagin Minimum Principle is proposed to enclose the solutions of an optimal control problem with embedded bounded uncertainties. This method is used to compute an enclosure of all optimal trajectories of the problem, as well as open loop and closed loop enclosures meant to enclose a concrete system using an optimal control regulator with inaccurate knowledge of the parameters. The differences in geometry of these enclosures are exposed, as well as some applications. For instance guaranteeing that the given optimal control problem will yield a satisfactory trajectory for any realization of the uncertainties or on the contrary that the problem is unsuitable and needs to be adjusted.


Author(s):  
Григорьев ◽  
I. Grigorev ◽  
Мустафина ◽  
S. Mustafina

The article outlines the basic concepts of the numerical solution of optimal control problems based on the method of variations in the control area


2018 ◽  
pp. 24-29
Author(s):  
I. O. Makhonin

When landing an unmanned aerial vehicle (UAV) on a ship, it is required to perform the specified boundary values of the state vector at the moment of approach to the hook equipment. The article considers the solution of the problem of calculating the points of the area of initial positions of UAV. It is mean, that each point provide hitting for the UAV to a predetermined aiming area at a given time in the vicinity of the hitch. In this case, the phase coordinates of the UAV at the time of approach to the hook device have to defined. To calculate the points located on the boundary of the area of initial positions, auxiliary problems of optimal program control have been solved. To solve it, the necessary conditions for the maximum principle of L. S. Pontryagin were used. The article considers the algorithm of the computational solution of the auxiliary problem of optimal program control and the results of calculating points thats located at the far boundary of the area of initial positions, that is mean, that points located at the maximum distance from the aiming point (the location of the hook device).


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