Research of Trajectory Optimization Approaches in Synthesized Optimal Control
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- @Article{diveev:2021:Symmetry,
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author = "Askhat Diveev and Elizaveta Shmalko",
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title = "Research of Trajectory Optimization Approaches in
Synthesized Optimal Control",
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journal = "Symmetry",
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year = "2021",
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volume = "13",
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number = "2",
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keywords = "genetic algorithms, genetic programming",
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ISSN = "2073-8994",
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URL = "https://www.mdpi.com/2073-8994/13/2/336",
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DOI = "doi:10.3390/sym13020336",
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abstract = "This article presents a study devoted to the emerging
method of synthesised optimal control. This is a new
type of control based on changing the position of a
stable equilibrium point. The object stabilization
system forces the object to move towards the
equilibrium point, and by changing its position over
time, it is possible to bring the object to the desired
terminal state with the optimal value of the quality
criterion. The implementation of such control requires
the construction of two control contours. The first
contour ensures the stability of the control object
relative to some point in the state space. Methods of
symbolic regression are applied for numerical synthesis
of a stabilization system. The second contour provides
optimal control of the stable equilibrium point
position. The present paper provides a study of various
approaches to find the optimal location of equilibrium
points. A new problem statement with the search of
function for optimal location of the equilibrium points
in the second stage of the synthesised optimal control
approach is formulated. Symbolic regression methods of
solving the stated problem are discussed. In the
presented numerical example, a piece-wise linear
function is applied to approximate the location of
equilibrium points.",
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notes = "also known as \cite{sym13020336}",
- }
Genetic Programming entries for
Askhat Diveev Ibraghimovich
Elizaveta Yu Shmalko
Citations