Decomposition of Mathematical Model of Complex Dynamic Object for Integrated Testing of its Technical Condition

The mathematical model is considered for the formation and implementation of development strategies of the stock of control and measuring instruments (CMI) applied in construction and housing and communal services(HCS), and step-by-step control of efficiency target values of the stock. The model is based on a system of finite - difference equations describing the change of number of the CMI samples with different levels of technical perfection and technical condition at each planning interval. The model allows calculating the required number of CMI for procurement and repairs in the various groups for provide target values of efficiency indices at each planning interval. Controller is number of modern CMI samples for procurement and number of modern and obsolete faulty CMI samples for the repairs. The results of calculations are presented.

Download Full-text

DEVELOPMENT OF A SYSTEM FOR ASSESSING PASSENGER TRAFFIC BASED ON FUZZY LOGIC

Technology Transfer fundamental principles and innovative technical solutions ◽

10.21303/2585-6847.2020.001528 ◽

2020 ◽

Vol 4 ◽

pp. 18-21

Author(s):

Olha Pronina

Keyword(s):

Mathematical Model ◽

Fuzzy Logic ◽

Public Transport ◽

Fuzzy Inference ◽

Technical Condition ◽

Time Of Day ◽

Output Variable ◽

Passenger Traffic ◽

Transportation Service ◽

The City

A methodology has been developed for assessing public transport passenger traffic in the city. A mathematical model based on fuzzy logic is presented. The main criteria for assessing the attractiveness of passenger traffic are: the interval between vehicles, technical condition of the vehicle, route length, time of day. In the mathematical model, all input linguistic variables and output variable, their terms and membership functions are described. A fragment of a fuzzy knowledge base presented in the form of production rules is presented. At the exit, the dispatcher receives an output variable – the degree of confidence in the attractiveness of the route. Based on this assessment, the dispatcher can make a number of necessary changes to improve the functioning of the route. The software is implemented as a web service. This software will be convenient for dispatchers to use for planning public transport routes. Fifteen selected routes were taken for research, which are the most popular in the city. These routes were proposed for evaluation by three controllers. The results obtained from dispatchers were compared with the results of the fuzzy inference implemented in the software. The main advantage of using this software product is the ability to build a dynamic schedule based on the analysis of the dispatcher. This, in turn, will allow passengers to receive a better transportation service within the city

Download Full-text

MATHEMATICAL MODEL OF THE WORKING PROCESS OF THE TRACK SWEEPING MACHINE AS A COMPLEX DYNAMIC SYSTEM

Dynamics of Systems Mechanisms and Machines ◽

10.25206/2310-9793-7-1-111-116 ◽

2019 ◽

Vol 7 (1) ◽

pp. 111-116

Author(s):

M. S. Korytov ◽

◽

V. S. Shcherbakov ◽

V. V. Titenko ◽

S. D. Ignatov ◽

...

Keyword(s):

Mathematical Model ◽

Dynamic System ◽

Working Process ◽

Complex Dynamic ◽

Complex Dynamic System

Download Full-text

Information dualism of the problem of optimum terminal control of dynamic object

Informatization and communication ◽

10.34219/2078-8320-2021-12-2-85-90 ◽

2021 ◽

pp. 85-90

Author(s):

V.P. Ivanov

Keyword(s):

Mathematical Model ◽

Optimal Control ◽

Control Law ◽

Computational Algorithms ◽

Terminal Control ◽

Dynamic Object ◽

Nonlinear Mathematical Model ◽

Dynamical Object

The article deals with the problem of synthesis of terminal control. A functional, a nonlinear mathematical model of a dynamic object, restrictions on the maximum permissible values of control are given. The control law is synthesized. The following statement is proved: the synthesis of the optimal control is carried out using the entire initial mathematical model of the dynamical object, but to calculate the control at any particular moment of time, it is possible to use a reduced (truncated) model, which simplifies the computational algorithms. Thus, there is an informational dualism of the manage- ment task. The approach is an extension of the principle of information redefinition of Yu.B. Germeier to the area of optimal terminal control.

Download Full-text

Diagnostics of supercapacitors

MATEC Web of Conferences ◽

10.1051/matecconf/201818201009 ◽

2018 ◽

Vol 182 ◽

pp. 01009 ◽

Cited By ~ 3

Author(s):

Valeriy Martynyuk ◽

Oleksander Eromenko ◽

Juliy Boiko ◽

Tomasz Kałaczyński

Keyword(s):

Mathematical Model ◽

Mathematical Models ◽

Methodological Approach ◽

Frequency Dispersion ◽

Technical Condition ◽

Transient Processes ◽

Nonlinear Frequency ◽

Diagnostic Reliability ◽

General Reliability ◽

The Mathematical Model

The paper represents the mathematical model for diagnostics of supercapacitors. The research objectives are the problem of determining a supercapacitor technical condition during its operation. The general reliability of diagnostics is described as the methodological and instrumental reliabilities of diagnostics. The instrumental diagnostic reliability of supercapacitor includes the probabilities of errors of the first and second kind, α and β respectively. The methodological approach to increasing the reliability of supercapacitor diagnostic has been proposed, in terms of multi-parameter supercapacitor diagnostic by applying nonlinear, frequency dependent mathematical models of supercapacitors that take into account nonlinearity, frequency dispersion of parameters and the effect of transient processes in supercapacitors. The more frequencies, operating voltages and currents are applied in the supercapacitor diagnostics, the more methodological reliability of diagnostics will increase in relation to the methodological reliability of supercapacitor diagnostics when only one frequency, voltage and current are applied.

Download Full-text

Determination of the type of repair work based on the results of survey and monitoring of the technical condition of buildings

E3S Web of Conferences ◽

10.1051/e3sconf/202015706023 ◽

2020 ◽

Vol 157 ◽

pp. 06023 ◽

Cited By ~ 1

Author(s):

Aleksandr Birjukov ◽

Anatoly Lebedkin ◽

Yurii Birjukov ◽

Viktor Pchelkin

Keyword(s):

Mathematical Model ◽

Fuzzy Logic ◽

Set Theory ◽

Fuzzy Set Theory ◽

Technical Condition ◽

Capital Investments ◽

Repair Work ◽

Fuzzy Logic Method ◽

Maintenance Work

This article is devoted to structural scrutiny of a building. The technical condition of buildings affects such characteristics of a building as safety, reliability, durability and maintainability. However, in the absence of reliable information on the technical condition of buildings, structural survey or monitoring of а building in order to determine the category of technical condition is necessary. The purpose of this work is to develop an economic and mathematical model for determining the type of maintenance work based on the results of structural scrutiny and monitoring of a building. The article is of importance because the final stage of the survey gives a qualified opinion on the level of structural scrutiny of a building, and on the basis of this opinion repair work eliminating physical and moral deterioration and providing in accordance with specifications renovation of the building are planned. The scientific novelty of the economic and mathematical model developed by the authors on the results of building structural scrutiny lies in the application of the fuzzy set theory and fuzzy logic method for determining of the level of physical and moral deterioration of a building consistent with a certain type of repair work and followed by the necessary capital investments.

Download Full-text

Production Control as a Complex Dynamic Object

IFAC Proceedings Volumes ◽

10.1016/s1474-6670(17)41847-7 ◽

1998 ◽

Vol 31 (20) ◽

pp. 517-520

Author(s):

Peter Groumpos ◽

Bary Ilyasov ◽

Larisa Ismagilova ◽

Roza Valeeva

Keyword(s):

Production Control ◽

Dynamic Object ◽

Complex Dynamic

Download Full-text