Structural synthesis of discrete adaptive tracking systems based on the combined maximum principle

Kostoglotov, A. A.; Lazarenko, Sergey; Kuznetsov, A. A.; Deryabkin, Igor Vladimirovich; Losev, V. A.

doi:10.23947/1992-5980-2017-17-1-105-112

Cited by 6 publications

(3 citation statements)

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“…The joint maximum principle is based on the Lagrange method which states, that the movement Eq. (1) may be derived by usage of the extreme behavior of the functional [1,6,7]…”

Section: The Joint Maximum Principle Methodsmentioning

confidence: 99%

Fuzzy Topological Approach to a Solid Control Task

Костоглотов

Taran

Trofimenko

2018

Advances in Intelligent Systems and Computing

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Synthesis of the control algorithms based on varying structures allows increased operating effectiveness of the control systems. The paper presents an alternative combined control method for angular velocities stabilization of an axisymmetric solid based on optimal synthesis using the joint maximum principle and the predicting model method. The control structure transition procedure is implemented using fuzzy logic methods. The proposed approach effectiveness was verified using modeling results.

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“…The joint maximum principle is based on the Lagrange method which states, that the movement Eq. (1) may be derived by usage of the extreme behavior of the functional [1,6,7]…”

Section: The Joint Maximum Principle Methodsmentioning

confidence: 99%

Fuzzy Topological Approach to a Solid Control Task

Костоглотов

Taran

Trofimenko

2018

Advances in Intelligent Systems and Computing

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“…Equation (12) can be used to adapt the model of motion with respect to the parameter O for a given value of functional (8) when constructing the adaptive filter for estimation of the parameters of dynamic systems [6,11].…”

Section: Discrete Filter Synthesismentioning

confidence: 99%

“…Such adaptation can be realized using the methodology of the combined maximum principle [4], which leads to a model of a dynamical system that satisfies the Hamilton-Ostrogradskii principle [5]. The structure of the model is determined based on the condition of the maximum of the generalized power function up to a nonlinear synthesizing function that determines the rate of dissipation and, accordingly, the degree of structural adaptation [6]. However, the nonlinearity of the proposed model limits the possibilities of its application.…”

Section: Introductionmentioning

confidence: 99%

Quasi-optimal synthesis of an adaptive filter in the problem of estimating the state of dynamic systems

2020

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The problem of synthesis of filters to estimate the state of dynamical systems is considered based on the condition for the maximum of the generalized power function and stationarity of the generalized Lagrangian and Hamiltonian of the estimated system model. The paper demonstrates that the use of invariants in combination with the decomposition principle makes it possible to simplify the equations of controlled motion and reduce them to a system of independent equations in terms of the number of degrees of freedom. This approach reduces the number of unknown parameters of the motion model, which greatly simplifies the adaptation process when developing filters for quasi-optimal estimation of the state parameters of dynamic systems. Comparative analysis of the results of the mathematical simulation shows that the application of the proposed method increases the efficiency of filters of the Kalman structure.

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Fuzzy Controller for Angular Velocities of an Axisymmetric Aircraft

Trofimenko

2021

Lecture Notes in Electrical Engineering

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Structural synthesis of discrete adaptive tracking systems based on the combined maximum principle

Cited by 6 publications

References 0 publications

Fuzzy Topological Approach to a Solid Control Task

Fuzzy Topological Approach to a Solid Control Task

Quasi-optimal synthesis of an adaptive filter in the problem of estimating the state of dynamic systems

Fuzzy Controller for Angular Velocities of an Axisymmetric Aircraft

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