Formalization of the Process of Research of Nonlinear Dynamic Control Systems with an Economic Object

2021 ◽  
pp. 39-43
Author(s):  
Svetlana Grishina
Keyword(s):  
Nonlinear System ◽  
Control Systems ◽  
Dynamic Control ◽  
Error Distribution ◽  
Economic Systems ◽  
Loss Of Stability ◽  
Statistical Approximation ◽  
Distribution Law ◽  
Limited Ability ◽  
Analysis And Evaluation

The article continues research on the adaptation of well-developed methods of systems theory to economic systems. It is shown that economic objects, as a rule, are nonlinear. The issues of analysis and evaluation of the accuracy of nonlinear economic systems are considered. It is shown that the use for these purposes of statistical methods based on the statistical approximation of a nonlinear transformation causes difficulties associated with the requirement of a normal distribution law at the output of a nonlinear element, as well as with a limited ability to assess the magnitude and range of effects under which there is a loss of stability of the system. The article substantiates the possibility and expediency of using the methods of random Markov processes to determine the density of the error distribution of a nonlinear system. In this paper, the main tasks that should be solved in the study of nonlinear economic systems are highlighted. The direction of further research is presented.

Research of Divergence Trajectory with a Given Risk of Ships Collisions

2021 ◽  
pp. 64-67
Author(s):  
Kostiantyn
Keyword(s):  
Mathematical Models ◽  
Normal Distribution ◽  
Control Systems ◽  
Collision Avoidance ◽  
State Vector ◽  
Measurement Errors ◽  
Local Network ◽  
Mean Square ◽  
Distribution Law ◽  
Imitation Modeling

There were considered the issues of the optimal collision avoidance in the target’s risk field. A method of optimal divergence by course maneuvering is proposed, which makes it possible to minimize the divergence trajectory for a given risk of collision and consists in organizing the movement of the vessel along the trajectory of a given risk. The risk field of the target is a normal distribution law characterized by the root-mean-square parameters of the uncertainties associated with measurement errors of the parameters of the vessel's state vector and target, errors of actuators, errors of the used mathematical models, errors of calculation, etc. The operability and efficiency of the proposed method, algorithmic and software were tested on the Imitation Modeling Stand, which is the Navi Trainer 5000 navigation simulator and a model of on-board controller included in its local network with the software of the risk divergence module. The Imitation Modeling Stand allows to work out the software of control systems, including the considered optimal divergence module, in a closed circuit with the Navi Trainer 5000 navigation simulator, using all its advantages.

scholarly journals Approximate Controllability of Sobolev Type Nonlocal Fractional Stochastic Dynamic Systems in Hilbert Spaces

2013 ◽  
Vol 2013 ◽  
pp. 1-10 ◽  
Author(s):  
Mourad Kerboua ◽  
Amar Debbouche ◽  
Dumitru Baleanu
Keyword(s):  
Control Systems ◽  
Hilbert Spaces ◽  
Dynamic Systems ◽  
Approximate Controllability ◽  
Dynamic Control ◽  
Sufficient Conditions ◽  
Sobolev Type ◽  
Stochastic Dynamic ◽  
Deterministic Control ◽  
Stochastic Dynamic Systems

We study a class of fractional stochastic dynamic control systems of Sobolev type in Hilbert spaces. We use fixed point technique, fractional calculus, stochastic analysis, and methods adopted directly from deterministic control problems for the main results. A new set of sufficient conditions for approximate controllability is formulated and proved. An example is also given to provide the obtained theory.

scholarly journals METHODOLOGICAL BASIS OF UNION OF SOCIAL AND ECONOMIC SYSTEMS UNDER GLOBALIZATION CONDITIONS (USING THE EXAMPLE OF THE EAEC)

2017 ◽  
pp. 187-208
Author(s):  
Alexandr Matveev ◽  
Vladimir Matveev
Keyword(s):  
Control Systems ◽  
Free Trade ◽  
Global Scale ◽  
Economic Systems ◽  
Methodological Basis ◽  
Systemic Crisis ◽  
The Subject ◽  
Soviet Space ◽  
Post Soviet Space

Two processes are distinguished: globalization and free trade. The objectivity of the globalization process is substantiated. Classification of forms of integration is given. It is pointed out that the version of the process of globalization depends on the subject of its implementation and the concept (idea) on which this option is based. The systemic crisis that has engulfed all of humanity proves the perniciousness and deadlock of the further realization of integration processes on the basis of mondialism. The necessity of forming control systems based on the integration of national states is argued. A review of possible options for integration in the post-Soviet space is being made. The arguments about the mission of Russia as a leader in the integration processes in the post-Soviet space and on a global scale are presented.

Design of Optimum Dynamic Control Systems for Nonlinear Processes

1963 ◽  
Vol 2 (2) ◽  
pp. 81-89 ◽  
Author(s):  
C. A. Jones ◽  
E. F. Johnson ◽  
Leon Lapidus ◽  
R. H. Wilhelm
Keyword(s):  
Control Systems ◽  
Dynamic Control ◽  
Nonlinear Processes

A Nonlinear System Research Based on PID General Algorithm Control

2013 ◽  
Vol 740 ◽  
pp. 51-55
Author(s):  
Yu Bao Hou ◽  
Shu Yan Tang
Keyword(s):  
Nonlinear System ◽  
Control Systems ◽  
Predictive Control ◽  
Control Algorithm ◽  
General Algorithm ◽  
Generalized Predictive Control ◽  
System Research ◽  
Control Quality

Generalized predictive control (GPC) algorithm has been applied to all kinds of industry control systems. But systemic and effective method for nonlinear system has not been found.To this problem,this paper integrates the characteristics of PID technology and GPC,present a PID generalized predicitive control algorithm for a class of nonlinear system,and improves the control quality of the system.

Sign in / Sign up

Export Citation Format

Share Document