Fuzzy Control Laws in the Basis of Solutions of Synthesis Problems of the Combined Maximum Principle

Kostoglotov, A. A.; Lazarenko, Sergey; Deryabkin, Igor Vladimirovich; Kuzin, A.; Pugachev, Igor; Manaenkova, Olga N.

doi:10.1007/978-3-319-68321-8_33

Cited by 2 publications

(2 citation statements)

References 8 publications

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“…This paper formulates the problem to construct a multi-mode control for the system (1), (2) subject to condition (3), (6) on the set of the quasi-optimal control laws obtained from the condition for the maximum of the generalized power function [10][11][12][13][14][15].…”

Section: Formulation Of the Control Problemmentioning

confidence: 99%

“…Works [10][11][12][13][14] consider an approach that allows to obtain quasi-optimal solutions to the synthesis problem based on the condition for the maximum of the generalized power function for a wide class of dynamical systems that satisfy the Hamilton-Ostrogradskii principle and, accordingly, can be represented by the Lagrange equations of the second kind.…”

Section: Introductionmentioning

confidence: 99%

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The condition for the maximum of the generalized power function in the problem of forming a multi-mode control law with limitation

et al. 2020

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A quasi-optimal control law is developed based on the condition for the maxi-mum of the generalized power function taking into account the stationarity of the Hamiltonian on the switching line for control objects that can be represented by the Lagrange equations of the second kind. The comparative analysis is carried out based on the mathematical simulation using the optimal nonlinear control laws with respect to several criteria. We found that the modes of the proposed control law provide high accuracy of approximation to the optimal performance laws and the Fuller laws, reducing energy costs for control by eliminating more frequent switching. The choice of the parameters of the developed control law makes it possible to implement a wide range of both nonlinear and linear operating modes, which allows to classify the obtained control law as multimode law.

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Section: Formulation Of the Control Problemmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

The condition for the maximum of the generalized power function in the problem of forming a multi-mode control law with limitation

et al. 2020

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Synthesis of Intelligent Discrete Algorithms for Estimation with Model Adaptation Based on the Combined Maximum Principle

Kostoglotov

Lazarenko

Pugachev

et al. 2018

Advances in Intelligent Systems and Computing

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The paper considers the problem to estimate the parameters of the motion of maneuvering targets. The structure of the filter for estimating the parameters of motion is determined by the mathematical model of the motion. At present time the kinematic models are widely used, but they do not fully correspond to the observed dynamics. This may lead to divergence of the estimation process and failure of the computational procedure. New dynamic filters of the combined maximum principle with the dynamic model of motion possess higher accuracy and stability and smaller amount of computational costs in comparison with common filters. The parametric adaptation of the procedure is carried out using fuzzy logic.

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Fuzzy Control Laws in the Basis of Solutions of Synthesis Problems of the Combined Maximum Principle

Cited by 2 publications

References 8 publications

The condition for the maximum of the generalized power function in the problem of forming a multi-mode control law with limitation

The condition for the maximum of the generalized power function in the problem of forming a multi-mode control law with limitation

Synthesis of Intelligent Discrete Algorithms for Estimation with Model Adaptation Based on the Combined Maximum Principle

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