STRUCTURAL AND PARAMETRIC SYNTHESIS OF ADAPTIVE FILTER FOR ESTIMATE OF THE STATE OF DYNAMIC SYSTEMS USING THE DECOMPOSITION PRINCIPLE

2020 ◽  
pp. 180-188
Author(s):  
Andrey Alexandrovich Kostoglotov ◽  
Anton Sergeevich Penkov ◽  
Sergey Valeryevich Lazarenko
Keyword(s):  
Adaptive Filter ◽  
Dynamic Systems ◽  
The State ◽  
Parametric Synthesis ◽  
Decomposition Principle

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

2020 ◽  
Vol 210 ◽  
pp. 01002
Author(s):  
Andrey Kostoglotov ◽  
Anton Penkov ◽  
Sergey Lazarenko
Keyword(s):  
Dynamic Systems ◽  
Degrees Of Freedom ◽  
Optimal Estimation ◽  
The State ◽  
System Model ◽  
Motion Model ◽  
Unknown Parameters ◽  
Generalized Lagrangian ◽  
Controlled Motion ◽  
Decomposition Principle

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.

Method for the Synthesis of Adaptive Algorithms for Estimating the Parameters of Dynamic Systems Based on the Decomposition Principle and the Joint Maximum Methodology

2020 ◽  
pp. 22-28
Author(s):  
Andrey A. Kostoglotov ◽  
Anton S. Penkov ◽  
Sergey V. Lazarenko
Keyword(s):  
Dynamic Systems ◽  
Estimation Error ◽  
The State ◽  
Structural Adaptation ◽  
Maximum Function ◽  
Error Functional ◽  
Rate Of Dissipation ◽  
Motion Invariants ◽  
Explicit Relation ◽  
Decomposition Principle

A method of synthesis of a filter for estimating the state of dynamic systems of Kalman type with an adaptive model built on the basis of the principle of decomposition of the system using kinematic relations from the condition of constancy of motion invariants has been developed. The structure of the model is determined from the condition of the maximum function of the generalized power up to a nonlinear synthesizing function that determines the rate of dissipation and, accordingly, the degree of structural adaptation. The resulting model has an explicit relation with the gradient of the estimation error functional, which makes it possible to adapt to the intensity of regular and random influences and can be used to construct a filter for estimating the state of the Kalman structure. On the basis of the developed method, a discrete algorithm is obtained and its comparative analysis with the classical Kalman filter is carried out.

INFORMATION AND TELECOMMUNICATION NETWORK SECURITY MANAGEMENT METHODOLOGY

2021 ◽  
Author(s):  
М.А. КАРПОВ ◽  
М.В. МИТРОФАНОВ ◽  
О.С. ЛАУТА ◽  
Д.А. ПАЛЬЦИН
Keyword(s):  
State Space ◽  
Dynamic Systems ◽  
Telecommunication Network ◽  
The State ◽  
Complex Dynamic ◽  
Computing Power ◽  
Complex Dynamic Systems ◽  
Situational Management ◽  
The Cost ◽  
Network Security Management

Исследуются вопросы ситуативного управления сложными динамическими системами. Анализируются релевантные работы в области ситуативного управления системами защиты. Приводятся результаты разработки алгоритма эффектив -ного управления, позволяющего уменьшать пространство состояний управляемого объекта. Показано, что представленная методика позволяет спрогнозировать количество итераций управления в зависимости от сегмента пространства состояний и выбранного количества переходов. Данный подход позволяет воздействовать на сложные динамические системы в реальном времени, причем затраты на вычислительные мощности системы управления и ее подсистем сокращаются. The issues of situational management of complex dynamic systems are investigated. Relevant works in the field of situational management of protection systems are analyzed. The article presents the results of the development of an efficient control algorithm that allows reducing the state space of the controlled object. The presented technique makes it possible to predict the number of control iterations depending on the segment of the state space and the selected number of transitions. This approach allows you to act on complex dynamic systems in real time, while the cost of the computing power of the control system and its subsystems is reduced. Keywords: INFORMATION AND TELECOMMUNICATION NETWORK, SCRIPT FORECAST, MANAGEMENT SYSTEM, SITUATIONAL MANAGEMENT, ITCN SECURITY SYSTEM

Parameters of Quasiattractors in the Estimation of Stationary Regimes of Biological Dynamic Systems According to Compartmentae-Cluster Approach

10.12737/3327 ◽  
2014 ◽  
Vol 21 (1) ◽  
pp. 134-137 ◽  
Author(s):  
Даянова ◽  
D. Dayanova ◽  
Вохмина ◽  
Yu. Vokhmina ◽  
Гавриленко ◽  
...  
Keyword(s):  
Human Body ◽  
Dynamic Systems ◽  
State Vector ◽  
Alcoholic Beverage ◽  
Human Motion ◽  
The State ◽  
Damping Coefficient ◽  
Cluster Approach ◽  
Bounded Volume ◽  
The Impact

In the framework of the compartmentae-cluster approach there is possibility of constructing adequate mathematical models that may be of several types supposedly stationary modes of biomechanical systems: in the traditional deterministic approach, when the state vector оf the biomechanical system have equal value and in the framework of the new theory of chaos and self-organization, when system state vector x=x(t)=const. The vector can occur within a bounded volume of the phase space of states. The message signals presented arbitrary human motion under the influence of an alcoholic beverage and the simulated signals for a given external exposure control (Ud=60 у.е.) was compared. Different values ​​of the damping coefficient (b=1,1; b ´= 3,4) present the normal and unnormal state of human body. A comparison was made, the resulting figures and draw conclusions about the impact of damping coefficient on the size of the area of ​​quasi-attractor. Present the state of the biological dynamical system (the human body) under alcohol effect and in normal state.

Prediction of the State of Dynamic Systems Based on Measurement Data

2015 ◽  
Vol 58 (10) ◽  
pp. 1095-1101
Author(s):  
O. N. Novoselov ◽  
I. L. Gufeld
Keyword(s):  
Dynamic Systems ◽  
Measurement Data ◽  
The State
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