Hybrid Evolutionary Algorithm for Optimal Control Problem

Diveev, Askhat

doi:10.1007/978-3-031-16078-3_50

Cited by 15 publications

(6 citation statements)

References 12 publications

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“…For numerical solution a hybrid algorithm [21] was applied. A hybrid algorithm is based on three well-known algorithms: the genetic algorithm [22], particle swarm optimization [23], and the grey wolf optimizer [24].…”

Section: Synthesis Of Universal Stabilisation Systemmentioning

confidence: 99%

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Universal Stabilisation System for Control Object Motion along the Optimal Trajectory

Diveev,

Sofronova

2023

Mathematics

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An attempt to construct a universal stabilisation system that ensures the object motion along specified trajectory from certain class is presented. If such a stabilisation system is constructed, then only the problem of optimal control is solved, but for a model of the object, which includes a stabilisation system and a subsystem with a reference model for generating a specified trajectory. In this case, the desired control is the control in the reference model. Statement of complete optimal control problem includes two problems, optimal control problem and stabilisation system synthesis problem for motion along given trajectory in the state space. Numerical methods for solving these problems based on evolutionary computation and symbolic regression are described. It is shown that when solving the stabilisation system synthesis problem, it is possible to obtain a universal system that provides stabilisation of the object motion relative to any trajectory from a certain class. Therefore, it is advisable to formulate an optimal control problem for an object with a motion stabilisation system. A computational example of solving the problem for the spatial motion of a quadrocopter is given.

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Section: Synthesis Of Universal Stabilisation Systemmentioning

confidence: 99%

“…The optimal control problem was solved on the basis of the direct approach by a hybrid evolutionary algorithm [21]. To solve the problem, we set t + = 15.2 and time interval ∆t = 0.4.…”

Section: Solution Of Complete Optimal Control Problem For Object With...mentioning

confidence: 99%

Universal Stabilisation System for Control Object Motion along the Optimal Trajectory

Diveev,

Sofronova

2023

Mathematics

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“…The first index is the number of arguments of the function, and the second index is its number in the set. Using elementary functions, expression (12) can be written as…”

Section: Symbolic Regressionmentioning

confidence: 99%

“…To solve the optimal control problem by direct approach, the evolutionary hybrid algorithm is used [6,12]. The algorithm includes evolutionary transformations of three evolutionary algorithms, the genetic algorithm (GA) [13], particle swarm optimization (PSO) algorithm [14] and grey wolf optimizer (GWO) algorithm [15].…”

Section: Computational Experimentsmentioning

confidence: 99%

Stabilization of Movement along an Optimal Trajectory and Its Solution

et al. 2023

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“…To solve the problem, a hybrid evolutionary algorithm [7] is used. Figures 1 and 2 show projections on the horizontal plane {x 1 ; x 3 } of the two found optimal trajectories.…”

Section: Computation Experimentsmentioning

confidence: 99%