An Algorithm for Approximate Solutions to Weakly Filtered Synchronous Control Systems and Nonlinear Renewal Processes

1983 ◽  
Vol 43 (4) ◽  
pp. 834-843 ◽  
Author(s):  
F. C. Hoppensteadt
Keyword(s):  
Control Systems ◽  
Approximate Solutions ◽  
Renewal Processes ◽  
Synchronous Control

scholarly journals Analysis of the different locomotive wireless multi-traction synchronous control systems for heavy-haul combined trains and their performance

2020 ◽  
Vol 2 (3) ◽  
pp. 202-215
Author(s):  
Wei Li ◽  
Chunyang Chen ◽  
Hui Li ◽  
Kai Wang ◽  
Liang Xie ◽  
...  
Keyword(s):  
Control System ◽  
Control Systems ◽  
Information Transfer ◽  
Optimization Strategy ◽  
Traction Control ◽  
Synchronous Control ◽  
Train Control ◽  
Different Types ◽  
Markov Decision ◽  
Heavy Haul

Abstract This paper looks at the heavy-haul combined train composed of different types of locomotives and its distributed power control system with a combination of 800 MHz and TD-LTE wireless communication. It analyses some key characteristic parameters that affect the synchronism and communication of the differential wireless multi-traction synchronous control systems for heavy-haul combined trains. At the same time, in order to reduce the latency of instruction and information transfer between different types of locomotives, improve the time-limit certainty of wireless transmission and optimize the control quality of multi-traction control systems for heavy-haul combined trains, a synchronism optimization strategy based on the Markov decision process on the basis of Petri networkconstruction is proposed. Relevant experiments and tests are carried out to verify the effectiveness of the synchronism optimization of the control system, which provides a guarantee for improving the differential wireless multi-traction synchronous control system for combined trains and optimizing train control.

scholarly journals Dichotomy. Dichotomy? Dichotomy! Basic provisions, problems of terminology and inspection analysis of the method of dichotomy

2020 ◽  
pp. 93-110
Author(s):  
Andrey Maistrenko ◽  
◽  
Konstantin Maistrenko ◽  
Anatoliy Svetlakov ◽  
◽  
...  
Keyword(s):  
Convergence Rate ◽  
Automatic Control ◽  
Control Systems ◽  
Nonlinear Equations ◽  
Approximate Solutions ◽  
Distinctive Features ◽  
Automatic Control Systems ◽  
Modified Method ◽  
Scalar Equations ◽  
Low Rate

When creating modern systems of automatic control of various processes and objects operating in real time, very often one has to face the problem of solving various kinds of nonlinear scalar equations. Currently, there are a number of computational methods and algorithms for its solution, one of which is the dichotomy method. This method has a number of advantages in comparison with other known methods for solving nonlinear equations, but at present it has not found wide practical use. The main reason for its low popularity is the low rate of convergence of the sequence of approximate solutions and a large amount of computation required to obtain sufficiently accurate solutions. The purpose of the study is to consider in detail distinctive features of the dichotomy method and show the preference of its use in comparison with other known methods. We propose a modified version of the dichotomy method that allows one to obtain more rapidly converging sequences of approximate solutions to nonlinear scalar equations and requires significantly fewer computations required to obtain solutions with the desired accuracy. By solving a number of specific nonlinear equations, it is possible to illustrate the higher convergence rate of the sequence of approximate solutions calculated using the modified dichotomy method and, thereby, to substantiate the advantage of the new method for its use in creating various automatic control and regulation systems. Based on the results obtained a modification of the method for segment bisection is proposed. It has all the main advantages of the modified method. The research results can be used in the development of modern automatic control systems for various technological processes and objects.

Research of Synthesis Loop Experiment Simulation System

2013 ◽  
Vol 816-817 ◽  
pp. 739-742
Author(s):  
He Fei Wang ◽  
Jian Wen Wu ◽  
Yuan Jiang
Keyword(s):  
Control Systems ◽  
Simulation System ◽  
Synchronous Control ◽  
Working Principle

To save the experiments cost of verifying the synchronous control systems performance, a set of synthesis loop experiment simulation system is designed in this paper. Firstly, on the basis of analysis the working principle of the synthesis loop, the components used for the various parts of the synthesis loop simulation system are designed. Secondly, according to the characteristics of the two experimental loop, Will experiment, High-Closing experiment, circuit diagrams are designed respectively, software is debugged, and finally get the simulation system which meet the requirements.

scholarly journals Dichotomy. Dichotomy? Dichotomy! A modified method of dichotomy for solution of nonlinear scalar equations and some results of its investigation

2021 ◽  
pp. 85-102
Author(s):  
Andrey Maistrenko ◽  
◽  
Konstantin Maistrenko ◽  
Anatoliy Svetlakov ◽  
◽  
...  
Keyword(s):  
Automatic Control ◽  
Rate Of Convergence ◽  
Control Systems ◽  
Nonlinear Equations ◽  
Approximate Solutions ◽  
Practical Significance ◽  
Automatic Control Systems ◽  
Modified Method ◽  
Proposed Modification ◽  
Scalar Equations

Introduction: when creating modern automatic control systems for various processes and objects operating in real time, very often one has to face the problem of solving various kinds of nonlinear scalar equations. In the first part of this work entitled “Dichotomy. Dichotomy? Dichotomy!: fundamentals, terminology problems and inspection analysis of the dichotomy method”, a modified version of the dichotomy method was proposed, which has all the main advantages of the modified method. This method has a number of advantages in comparison with other methods for solving nonlinear equations, but at present it has not found wide practical use. The main reason for its low popularity is a low rate of convergence of the sequence of approximate solutions, and a large amount of computation required to obtain sufficiently accurate solutions. Purpose of the study: to propose a modified version of the dichotomy method, which allows one to obtain more rapidly converging sequences of approximate solutions to nonlinear scalar equations and requires significantly less computations required to obtain solutions with the desired accuracy, to illustrate, a higher convergence rate of the sequence of approximate solutions calculated using the modified dichotomy method by solving a number of specific nonlinear equations and, thereby, to substantiate the advantage of the new method for its use in creating various automatic control and regulation systems. Results: a modification of the method for dividing a segment in half is proposed, which has all the main advantages of the modified method. The results of solving 4 nonlinear equations are presented illustrating a higher rate of convergence of solutions calculated using the proposed modification. Practical significance: the research results can be used in the development of modern automatic control systems for various technological processes and objects.

Sign in / Sign up

Export Citation Format

Share Document