On Uniqueness of Filippov’s Solutions for Non-Smooth Systems Having Multiple Discontinuity Surfaces With Applications to Control Engineering

2004 ◽  
Author(s):  
Qiong Wu ◽  
Hairong Zeng ◽  
Nariman Sepehri
Keyword(s):  
Control System ◽  
State Space ◽  
Control Systems ◽  
Convex Sets ◽  
Discontinuity Surface ◽  
Control Engineering ◽  
Smooth Control ◽  
Discontinuity Surfaces ◽  
Uniqueness Of The Solution

The analysis of the uniqueness of Filippov’s solutions to non-smooth control systems is important before the solutions can be sought. Such an analysis is extremely challenging when the discontinuity surface is the intersecting discontinuity surfaces. The key step is to study the intersections of the convex sets from Filippov’s inclusions and the sets containing vectors tangent to the discontinuity surfaces. Due to the fact that all the elements of these sets are functions of the states and time and their numerical values can not be obtained before the uniqueness of the solution is analyzed, the determination of such intersections, symbolically, is extremely difficult. In this paper, we propose to firstly transform the control system to a new state space where the discontinuity surfaces can be written in special forms. Secondly, we expand the sets associated with Filippov’s inclusion such that the determinations of the intersections become feasible. Two examples of practical non-smooth control systems are presented to demonstrate the efficacy of the method.

ON UNIQUENESS OF FILIPPOV’S SOLUTIONS FOR NON-SMOOTH SYSTEMS HAVING MULTIPLE DISCONTINUITY SURFACES WITH APPLICATIONS TO ROBOTIC CONTROL SYSTEMS

2007 ◽  
Vol 31 (2) ◽  
pp. 191-206
Author(s):  
Q. Wu ◽  
H. Zeng
Keyword(s):  
Mathematical Model ◽  
Control Systems ◽  
Convex Sets ◽  
Numerical Solutions ◽  
Robotic Systems ◽  
Robotic Control ◽  
Physical Systems ◽  
Discontinuity Surfaces ◽  
The Mathematical Model

Analysis of the uniqueness of Filippov's solutions to non-smooth robotic control systems is important before the solutions can be sought. Such an analysis is extremely challenging when the discontinuity surface is the intersection of multiple discontinuity surfaces. The key step is to study the intersections of the convex sets from Filippov's inclusions and their associated sets containing vectors tangent to the discontinuity surfaces. For practical non-smooth robotic systems, due to their complexities, the determination of the intersections of these sets symbolically is extremely difficult if not impossible. In this paper, we propose a method such that the determinations of the intersections become feasible. Two examples of practical non-smooth robotic control systems are presented to demonstrate the efficacy of the method. The work contributes significantly to the analysis of non-smooth systems where the proof of the uniqueness of Filippov’s solution is crucial to keep the mathematical model relevant to physical systems and to ensure the numerical solutions can be sought.

scholarly journals Pengaruh Integritas dan Moralitas Individu pada Kecurangan Akuntansi dengan Sistem Pengendalian Internal sebagai Variabel Mediasi

2020 ◽  
Vol 30 (9) ◽  
pp. 2296
Author(s):  
I Kadek Yogi Anggara ◽  
Herkulanus Bambang Suprasto
Keyword(s):  
Control System ◽  
Control Systems ◽  
Internal Control ◽  
Accounting Fraud ◽  
Regional Organizations ◽  
Purposive Sampling ◽  
Internal Control System ◽  
Negative Effect ◽  
Positive Effect

This study aims to determine the effect of integrity and morality of individuals on accounting fraud with internal control systems as a mediating variable. The population in this study are 37 Regional Organizations in Badung. Determination of the sample using purposive sampling with 74 respondents. The results showed that individual integrity and morality had a negative effect on accounting fraud, integrity and morality of individuals had a positive effect on the internal control system and the internal control system had a negative effect on accounting fraud. Internal control system partially mediates the negative effect of Integrity on accounting fraud. Internal control system does not mediate the negative effect of Individual Morality on Accounting Fraud. The results are expected to be able to provide insight for relevant parties to pay more attention to internal control systems because they can influence mediating integrity against accounting fraud. Keywords: Cheating; Aaccounting Fraud; Regional Organizations.

Symbolic Array Programming for Control System Analysis by Digital Computer

1968 ◽  
Vol 1 (6) ◽  
pp. 226-230 ◽  
Author(s):  
F. L. N-Nagy ◽  
O. Bar
Keyword(s):  
Control System ◽  
Control Systems ◽  
Digital Computer ◽  
System Analysis ◽  
Flow Diagram ◽  
Control Engineering ◽  
Loop Control ◽  
Novel Approach ◽  
Main Programme ◽  
Computational Form

A novel approach is provided for the analysis of multi-loop control systems by a digital computer introducing operational arrays, in which all the instructions are given through the data input. Changing parameters for optimisation purposes or the introducing of additional networks becomes a matter of changing the operational array in the data, leaving the main programme untouched. Although the method is general, only the frequency response of a control system is considered, but at the same time the way has been left open to expand the method as experience reveals the need for further facilities, i.e. root locus, time response, etc. The programme has been written in Algol, but the basic flow diagram can be easily converted into any other language. Whatever the language is, the programme provides the necessary software design facilities translated into control engineering terms in a readily usable computational form.

scholarly journals The Transfer Function of the SARS-CoV-2 Spread in Different Countries with Stability, Observability, and Controllability Analysis

2021 ◽  
Author(s):  
Jasmina Lozanović Šajić ◽  
Sonja Langthaler ◽  
Sara Stoppacher ◽  
Christian Baumgartner
Keyword(s):  
Differential Equation ◽  
System Theory ◽  
Control System ◽  
System Identification ◽  
Transfer Function ◽  
State Space ◽  
Separate System ◽  
The Stability ◽  
Controllability And Observability

Abstract This paper presents the determination of the transfer function of the spreading pandemic caused by SARS-CoV-2 in different countries. The methodology of system identification, well known in control system theory, based on the number of infected was used. Appropriate hypotheses have been adopted to determine the transfer function of the system. Each country is viewed as a separate system, and comparisons of determined systems are given. The systems are also presented in the state space, the stability of the systems is analysed, and the matrices of controllability and observability are determined. After analysis, it is shown that the spread of the SARS-CoV-2, for each country, can be described with the same order of transfer function and differential equation.

Linearization and Boundary Trajectories of Nonsmooth Control Systems

1988 ◽  
Vol 40 (3) ◽  
pp. 589-609 ◽  
Author(s):  
H. Frankowska ◽  
B. Kaśkosz
Keyword(s):  
Control System ◽  
Control Systems ◽  
Differential Inclusions ◽  
Necessary Condition ◽  
Time Interval ◽  
Control Pair ◽  
Smooth Control ◽  
First Order ◽  
Image Position ◽  
Nonsmooth Control Systems

This paper deals with boundary trajectories of non-smooth control systems and differential inclusions.Consider a control system(1.1)and denote by R(t) its reachable set at time t. Let (z, u*) be a trajectory-control pair. If for every t from the time interval [0, 1], z(t) lies on the boundary of R(t) then z is called a boundary trajectory. It is known that for systems with Lipschitzian in x right-hand side, z is a boundary trajectory if and only if z(1) belongs to the boundary of the set R(1). If z is not a boundary trajectory, that is, z(1) ∊ Int R(1) then the system is said to be locally controllable around z at time 1.A first-order necessary condition for boundary trajectories of smooth systems comes from the Pontriagin maximum principle, (see e.g. [12]).

scholarly journals The Analysis of the State Space of Management Process in the Industry Applying Expert Systems

2017 ◽  
Vol 21 (2) ◽  
pp. 81-90
Author(s):  
Irina Dmitrevna Ivanova ◽  
Andreev Viktorovich Sergutenko ◽  
Jan Radosław Kamiński ◽  
Maciej Kuboń
Keyword(s):  
Artificial Intelligence ◽  
Control System ◽  
Expert System ◽  
State Space ◽  
System Application ◽  
Point Of View ◽  
Management Process ◽  
Production Processes ◽  
Factor State

AbstractThe article includes analysis of expert system application possibilities in the environment of production processes control. Such concepts as artificial intelligence, expert system, intellectual factor, state space were used. The object of the research consisted of the mechanism of controlling an enterprise (manager). These mechanisms were analysed from the point of view of state space. The graph method was used to visualize information presentation. Analysis of control processes of an enterprise was carried out by determination of their state space. The concept of state space itself is completed with numerous measurement values (parameters) under influence of which the process of task solution takes place. Moreover, the concept of static and dynamic elements of state space of the control system is applied. It was shown that dynamic elements enable the quality presentation of space, which without including other restrictions leads to extension of its impact, which confirms that a given system has an intelligent factor.

Determination of YAV-8B Reaction Control System bleed flow usage

1992 ◽  
Author(s):  
PAUL BORCHERS ◽  
ERNESTO MORALEZ, III ◽  
VERNON MERRICK ◽  
MICHAEL STORTZ ◽  
DAVID EAMES
Keyword(s):  
Control System ◽  
Reaction Control System

Pengaruh Sistem Pengendalian Internal Pemerintah dan Kompetensi Pegawai Terhadap Kinerja Instansi Pemerintah Kabupaten Karimun

2020 ◽  
Vol 5 (1) ◽  
pp. 101-106
Author(s):  
Doni Putra Utama
Keyword(s):  
Control System ◽  
Control Systems ◽  
Internal Control ◽  
Statistical Tests ◽  
Government Agencies ◽  
Government Performance ◽  
Significant Positive Effect ◽  
Internal Control System ◽  
Employee Competencies ◽  
Positive Effect

This research is a causality study with the title "Effect of Government Internal Control Systems and Employee Competence on the Performance of Government Agencies in Karimun Regency." The purpose of this study was to determine the effect of the implementation of the Government's Internal Control System on the performance of Karimun Regency government agencies and to determine the effect of employee competence on the performance of Karimun Regency government agencies. Data collection using a questionnaire where the questionnaire contained questions about the Government's Internal Control System, employee competencies and agency performance. Data were tested using multiple linear regression statistical tests. Based on the results of the study, it can be concluded that the governmental internal control system has a significant positive effect on Government Agency Performance with the results of statistical tests that show a sig value of 0.016 <0.05 (alpha 5%). Employee Competency has a significant positive effect on Government Performance with the results of statistical tests showing a sig value of 0,000.

DETERMINATION OF THE JUICE EVAPORATION MATHEMATICAL MODELS EFFICIENCY FOR AUTOMATED PROCESS CONTROL SYSTEMS

2019 ◽  
Vol 9 (1) ◽  
Author(s):  
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Keyword(s):  
Process Control ◽  
Mathematical Models ◽  
Control Systems ◽  
Process Control Systems ◽  
Automated Process
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