scholarly journals Operational Optimization of the Electromechanical System in Non-deterministic Conditions

2020 ◽  
Vol 19 ◽  
Keyword(s):  
Mathematical Model ◽  
Control System ◽  
Technical Problem ◽  
Control Object ◽  
Electromechanical System ◽  
Operational Optimization ◽  
The Moment ◽  
Definition Of ◽  
The Impact ◽  
The Mathematical Model

On the basis of theoretical and practical studies of the electromechanical system, the scientific and technical problem of improving the control system of the electromechanical system during the impact on it of multi-vector perturbations is solved. The result of the study is the integration of differential equations with coefficients dependent on the oscillations of the control object. In the theoretical part, the mathematical model of the electromechanical system was synthesized, which made it possible to investigate ways of minimizing the deviation angles and time intervals required to stabilize the motion of the electromechanical system, which allowed indirectly to realize the associated signal with the stochastic nature of the moment of oscillation of the control object on the coordinate plane. The method of parametric optimization of the mathematical model of the electromechanical system in the function of the angle of inclination is also improved and investigated. Based on the definition of the structure and algorithms of work, the efficiency of the control system of the electromechanical system increases in terms of reducing the stabilization time of the control object.

scholarly journals MATHEMATICAL MODEL OF UNDERWATER DEMINING BY DIPPER DIVERS OF THE SESU

2021 ◽  
Vol 6 (166) ◽  
pp. 175-183
Author(s):  
I. Soloviev
Keyword(s):  
Mathematical Model ◽  
Emergency Response ◽  
Emergency Situation ◽  
Response Process ◽  
Special Means ◽  
Operational Activities ◽  
Definition Of ◽  
The Impact ◽  
The Mathematical Model ◽  
Technical Recommendations

It is shown that the problem of improving the effectiveness of prevention of emergencies related to the underwater location of explosive objects is relevant. An important and unresolved part of the problem is the lack of a mathematical model of the emergency response process associated with the underwater location of an explosive device in general. Based on this, the object of the study was the elimination of an emergency situation related to the underwater location of explosive objects, and the subject of the study – the process of operational activities of personnel of the underwater demining department of a group of special diving rescue team. The aim of the work is to develop a mathematical model of the emergency response process related to the underwater location of an explosive object as a process of functioning of the system "emergency – special means of underwater demining – diver-sapper", which should be the basis for substantiation of operational and technical recommendations. increasing the efficiency of underwater demining by diver sappers without reducing their level of safety. It is shown that the mathematical model of underwater demining by a diver-sapper is a system of three analytical dependences. The first is a functional that describes the process of underwater demining in the form of a three-factor polynomial model. The second allows us to present this functionality as a set of one-factor models. The third provides the definition of weights in solving a multifactor problem. It is noted that such a model allows to proceed to the substantiation of operational and technical recommendations to the management of the group of special diving works. The advantage of the new scientific result is the ability to obtain both quantitative estimates of the impact of the direct components of the system "diver-sapper – special means of underwater demining – underwater location of an explosive object" and their relationship. The disadvantage is the large number of experimental results that must be obtained to implement the selected plan.

scholarly journals IMPLEMENTATION OF THE METHODS OF IDENTIFICATION OF STATIC CONTROL OBJECTS

2017 ◽  
pp. 72-78
Author(s):  
Sergey Pachkin ◽  
Sergey Pachkin ◽  
Roman Kotlyarov ◽  
Roman Kotlyarov
Keyword(s):  
Mathematical Model ◽  
Control System ◽  
Automatic Control ◽  
Automatic Control System ◽  
Mathematical Description ◽  
Control Object ◽  
Parametric Identification ◽  
Identification Problem ◽  
Temperature Control System ◽  
The Mathematical Model

One of the main tasks solved in the development of automatic control systems is the identification of the control object, which consists in obtaining its mathematical description. The nature and type of the mathematical model is determined by the goals and tasks for which it will be used. In the present case, the aim of obtaining the model is the synthesis of an automatic control system. Proceeding from the requirements of control problems, the identification problem consists in determining the structure and parameters of the mathematical model that ensure the best similarity of the model and object responses to the same input action. The article considers the experimental method of obtaining a mathematical description of the control object based on the results of measuring its input and output parameters and then processing the obtained results. The control object is the EP10 emulator made by the Oven Company, which is a miniature furnace. The emulator is used in experimental research in the process of commissioning using thermostat controls, and also applicable for educational purposes as part of training and research stands. As a result of structural identification with subsequent adjustment of the coefficients with the help of parametric identification, a model of the control object in the form of a second order aperiodic link is obtained. Parameters and type of the mathematical model allowed to make calculations and determine the parameters of adjustment of the TRM251 PID-controller. The software implementation of the automatic control system in the MatLAB environment made it possible to evaluate transient processes in a closed system. Thus, the calculation and analysis of the automatic control system in the first approximation were made. The final result can be obtained at the stage of commissioning the automatic temperature control system in the EP10 emulator using adaptation algorithms.

scholarly journals Vibration Control of Load for Jib Crane by using PID Controller

2020 ◽  
Vol 27 (3) ◽  
pp. 89-96
Author(s):  
Fares Abbas ◽  
Tawfik Al Massoud
Keyword(s):  
Mathematical Model ◽  
Control System ◽  
Vibration Control ◽  
Mechanical Model ◽  
Pid Controller ◽  
Integrated Production ◽  
Production Processes ◽  
Matlab Program ◽  
The Impact ◽  
The Mathematical Model

Jib Crane is a type of machinery used mainly to raise or lower materials or heavy objects and to carrying them to other places. It is used in construction and in the installation of large machines such as wind turbines and harbors, and is an essential component of integrated production processes. Because of the large loads carried by these cranes it became necessary to know their behavior before investment by studying their movements and studying the vibration of payloads and work to reduce them as much as possible and thus prolong the life of the crane components and increase their efficiency. Hence the need to design a control system to dampen load vibration to reduce the impact of dynamics affecting the parts of the crane. In this research, the mathematical model similar to the mechanical model of the crane was prepared and solving the model using MATLAB program, and then design a proportional integral differential controller for jib crane

scholarly journals DEVELOPMENT OF MATHEMATICAL MODEL OF THE CONTROL SYSTEM OF LINKS OF THE SNAKE LIKE ROBOT

2016 ◽  
Vol 2 (1) ◽  
pp. 150-154
Author(s):  
Гладышев ◽  
Andrey Gladyshev ◽  
Алейников ◽  
Andrey Aleynikov ◽  
Афонин ◽  
...  
Keyword(s):  
Differential Equation ◽  
Mathematical Model ◽  
Control System ◽  
Transfer Function ◽  
Transfer Functions ◽  
Modular Control ◽  
The Moment ◽  
External Forces ◽  
The Mathematical Model ◽  
Angle Of Rotation

The mathematical model of a modular control system of links of the snake like robot for realization of the wave movement considering the moments of the external forces created by adjacent links and external indignations is given in work. As model of the electric drive of a direct current the differential equation of the second order connecting tension of u(t) given on the electric motor, the moment of loading of Mn (t) and an output angle of rotation of a shaft θ(t) is used. Transfer functions of separate links are calculated, and transfer function of a control system in general is received.

scholarly journals Mathematical modeling of the grain trajectory in the workspace of the sheller with rotating decks

2020 ◽  
Vol 17 ◽  
pp. 00093 ◽  
Author(s):  
Ravil Ibyatov ◽  
Andrey Dmitriev ◽  
Bulat Ziganshin ◽  
Damir Khaliullin ◽  
Alsu Zinnatullina
Keyword(s):  
Mathematical Model ◽  
Rotation Angle ◽  
Angular Rotation ◽  
Disk Rotation ◽  
Working Space ◽  
Cereal Grain ◽  
The Moment ◽  
The Right ◽  
The Impact ◽  
The Mathematical Model

The purpose of the work is to determine the possibility of controlling the operation of cereal grain husks by changing the angular rotation speed of the disk (rotor) and deck to provide optimal conditions for peeling (removal of the flower shell from the grain). For this purpose, the movement of grain in the working space of the husk between the disk and the rotating deck is considered. The mathematical model of grain movement in the working space of the husk, taking into account the real aerodynamics of the rotating air flow, where the efficiency of peeling is determined by the speed and direction of the grain flight, is presented. To study the nature of the influence of structural and regime parameters of the desiccant on the efficiency of work, on the basis of the obtained mathematical model, numerical calculations and graphical dependences are made. On the basis of the analysis of the received graphs it is revealed that the direction of the grain impact on the deck is strongly influenced by the direction of the grain velocity vector at the moment of its tearing from the disk edge and the deck rotation angle speed. At the same time, the right angle impact of the grain can be achieved at low speeds of the deck rotation, and the speed of the grain during the impact is mainly determined by the speed of the disk rotation and practically does not depend on the speed of the deck rotation.

The adaptive sliding mode control using improved genetic algorithm tuning PID controller for the planetary rover

2021 ◽  
Vol 93 (1) ◽  
pp. 218-226
Author(s):  
Tiger Yuan ◽  
Guanyou Guo ◽  
Baiyu Du ◽  
Zhiping Zhao ◽  
Weikai Xu
Keyword(s):  
Mathematical Model ◽  
Control System ◽  
Sliding Mode ◽  
Control Object ◽  
Improved Genetic Algorithm ◽  
Planetary Rover ◽  
Content Type ◽  
Planetary Rovers ◽  
The Mathematical Model ◽  
Pid Sliding Surface

Purpose The purpose of this paper is to resolve the problem of the dynamic response performance of the driving control system for a six-wheeled planetary rover. An adaptive sliding mode controller based on an improved genetic algorithm (IGA) to tune PID sliding surface parameters was used in the driving control system of the planetary rover. Design/methodology/approach First, the mathematical model of planetary rover driving control is established. Second, according to sliding mode variable structure control, an equivalent controller and a disturbance controller are constructed to solve the problem of a multi-disturbance nonlinear driving control system of planetary rovers and an IGA is used to tune PID parameters. Findings Simulation results show that the proposed control algorithm improves the accuracy of the driving control system and optimizes the smoothness of rover motion control. Practical implications The controller based on the IGA to tune PID sliding surface parameters has good self-adaptability and real-time controllability for the control object which is difficult to present a precise mathematical model. Originality/value The advanced control method is adopted to solve the uncertainty and external interference of planetary rovers in a complex environment. The mathematical model of the six-wheeled rover is established as the control object and the uncertainty and external disturbance of the model are considered. The controller based on IGA has good adaptability and real-time performance and the control algorithm can be used to drive robots in complex environments.

scholarly journals Modelling the impact of delaying vaccination against SARS-CoV-2 assuming unlimited vaccine supply

2021 ◽  
Vol 18 (1) ◽  
Author(s):  
Marcos Amaku ◽  
Dimas Tadeu Covas ◽  
Francisco Antonio Bezerra Coutinho ◽  
Raymundo Soares Azevedo ◽  
Eduardo Massad
Keyword(s):  
Mathematical Model ◽  
Vaccination Campaign ◽  
Vaccination Rate ◽  
Sao Paulo ◽  
The State ◽  
São Paulo ◽  
Health Authorities ◽  
The World ◽  
The Moment ◽  
The Impact

Abstract Background At the moment we have more than 177 million cases and 3.8 million deaths (as of June 2021) around the world and vaccination represents the only hope to control the pandemic. Imperfections in planning vaccine acquisition and difficulties in implementing distribution among the population, however, have hampered the control of the virus so far. Methods We propose a new mathematical model to estimate the impact of vaccination delay against the 2019 coronavirus disease (COVID-19) on the number of cases and deaths due to the disease in Brazil. We apply the model to Brazil as a whole and to the State of Sao Paulo, the most affected by COVID-19 in Brazil. We simulated the model for the populations of the State of Sao Paulo and Brazil as a whole, varying the scenarios related to vaccine efficacy and compliance from the populations. Results The model projects that, in the absence of vaccination, almost 170 thousand deaths and more than 350 thousand deaths will occur by the end of 2021 for Sao Paulo and Brazil, respectively. If in contrast, Sao Paulo and Brazil had enough vaccine supply and so started a vaccination campaign in January with the maximum vaccination rate, compliance and efficacy, they could have averted more than 112 thousand deaths and 127 thousand deaths, respectively. In addition, for each month of delay the number of deaths increases monotonically in a logarithmic fashion, for both the State of Sao Paulo and Brazil as a whole. Conclusions Our model shows that the current delay in the vaccination schedules that is observed in many countries has serious consequences in terms of mortality by the disease and should serve as an alert to health authorities to speed the process up such that the highest number of people to be immunized is reached in the shortest period of time.

scholarly journals The Impact of Elongation on Change in Electrical Resistance of Electrically Conductive Yarns Woven into Fabric

Materials ◽  
2021 ◽  
Vol 14 (12) ◽  
pp. 3390
Author(s):  
Željko Knezić ◽  
Željko Penava ◽  
Diana Šimić Penava ◽  
Dubravko Rogale
Keyword(s):  
Mathematical Model ◽  
Electrical Resistance ◽  
Electrically Conductive ◽  
Textile Materials ◽  
Measurement Results ◽  
Conductive Yarns ◽  
Yarn Count ◽  
As Relationship ◽  
The Impact ◽  
The Mathematical Model

Electrically conductive yarns (ECYs) are gaining increasing applications in woven textile materials, especially in woven sensors suitable for incorporation into clothing. In this paper, the effect of the yarn count of ECYs woven into fabric on values of electrical resistance is analyzed. We also observe how the direction of action of elongation force, considering the position of the woven ECY, effects the change in the electrical resistance of the electrically conductive fabric. The measurements were performed on nine different samples of fabric in a plain weave, into which were woven ECYs with three different yarn counts and three different directions. Relationship curves between values of elongation forces and elongation to break, as well as relationship curves between values of electrical resistance of fabrics with ECYs and elongation, were experimentally obtained. An analytical mathematical model was also established, and analysis was conducted, which determined the models of function of connection between force and elongation, and between electrical resistance and elongation. The connection between the measurement results and the mathematical model was confirmed. The connection between the mathematical model and the experimental results enables the design of ECY properties in woven materials, especially textile force and elongation sensors.

A Model Improvement of a Supercritical Unit Coordination Control System

2013 ◽  
Vol 680 ◽  
pp. 488-494
Author(s):  
Hai Ming Niu ◽  
Zhong Xu Han ◽  
Huan Pao Huang ◽  
Hong Min Zhang
Keyword(s):  
Mathematical Model ◽  
Control System ◽  
Coordinated Control ◽  
Coordination Control ◽  
Model Improvement ◽  
Unit Coordination ◽  
The Mathematical Model ◽  
Controlled Object

Base on the mathematical model of a common coordinated control system in field of thermal, by analyzing characteristics of the controlled object supercritical once-through boiler coordinated control system, the article puts forward suggestions for improvement, and verifies the results of the analysis by test.

The Control of Vibration Transmissibility Using an Electrodynamic Actuator –Close-Loop Solution

2013 ◽  
Vol 436 ◽  
pp. 166-173
Author(s):  
A. Mihaela Mîţiu ◽  
Daniel Constantin Comeagă ◽  
Octavian G. Donţu
Keyword(s):  
Mathematical Model ◽  
Control System ◽  
Mechanical System ◽  
Closed Loop ◽  
Mechanical Systems ◽  
Vibration Transmissibility ◽  
Technical Solutions ◽  
The Mathematical Model

In this paper are presented some aspects of transmissibility control of mechanical systems with 1 DOF so that the effects of vibration on their action to be minimized. Some technical solutions that can be used for this purpose is analyzed. Starting from the mathematical model of an electro-mechanical system with 1 DOF, are identified the parameters which influence the effectiveness of the transmissibility control system using an electrodynamic actuator who work in "closed loop".

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