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Tytuł:
Stereovision System for 3D Analysis of the Geometrical Properties of Fabrics
Stereowizyjny system do trójwymiarowej geometrycznej analizy właściwości tkanin
Autorzy:
Więcek, P.
Polipowski, M.
Więcek, B.
Powiązania:
https://bibliotekanauki.pl/articles/232290.pdf
Data publikacji:
2015
Wydawca:
Sieć Badawcza Łukasiewicz - Instytut Biopolimerów i Włókien Chemicznych
Tematy:
stereovision
direct linear transformation (DLT)
3D analysis
geometrical properties
non-destructive testing
stereowizyjny system
bezpośrednie przekształcenie liniowe (DLT)
analiza 3D
cechy geometryczne
badania nieniszczące
Opis:
In this paper, a stereovision system for measuring the geometrical properties of fabrics is presented. Measurement of the parameter of spacings between the yarns is the main application of the system proposed. The algorithms implemented are described in detail which explain how one can measure the area of the front of the spacing as well as its orientation in a 3D space. The calibration procedure, using a specially prepared calibrator, is outlined. An accuracy analysis is presented both for the area and angle measurements. Exemplary results of measuring the areas and angles for 100 spacings between the yarns are presented in the form of histograms and tables.
W pracy przedstawiono stereowizyjny system do pomiaru właściwości geometrycznych tkanin. Głównym zastosowaniem proponowanego systemu jest pomiar parametrów prześwitów międzynitkowych. Praca zawiera szczegółowy opis wykorzystanych algorytmów przetwarzania geometrycznego, który wyjaśnia zasadę pomiaru pola powierzchni oraz orientacji kanału w przestrzeni 3D. Przedstawiono procedurę kalibracji systemu przy użyciu opracowanego kalibratora. Przeprowadzono analizę niepewności pomiaru zarówno dla pola powierzchni jak i kąta orientacji kanału. Wykonano wstępne badania eksperymentalne dla 100 prześwitów międzynitkowych i wyniki zaprezentowano w formie histogramów i tabel.
Źródło:
Fibres & Textiles in Eastern Europe; 2015, 1 (109); 61-67
1230-3666
2300-7354
Pojawia się w:
Fibres & Textiles in Eastern Europe
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Impact of pre-stress on stability and vibration of geometric nonlinear column at a load force directed to the positive pole
Autorzy:
Szmidla, J.
Cieślińska-Gąsior, I.
Powiązania:
https://bibliotekanauki.pl/articles/127836.pdf
Data publikacji:
2014
Wydawca:
Politechnika Poznańska. Instytut Mechaniki Stosowanej
Tematy:
free vibrations
geometrically non-linear system
prestressing
drgania swobodne
układ geometrycznie nieliniowy
sprężanie
Opis:
The subject of the results of theoretical and numerical studies measures to designate the effect of pre-stress on the vibration of geometrically non-linear column exposed to the load force directed to the positive pole. Considering the total mechanical energy of the system the equation of motion and the boundary conditions necessary to solve the boundary problem were determined. Based on the kinetic stability criterion the range of values of internal compression forces was determined in which the growth of critical load of the column above the local loss of stability was achieved. In the research the geometrically non-linear system was analysed with variable asymmetry of bending stiffness and at selected values of geometrical parameters of the head realizing the load.
Źródło:
Vibrations in Physical Systems; 2014, 26; 289-296
0860-6897
Pojawia się w:
Vibrations in Physical Systems
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Stabilization of Second-order Systems by Non-linear Feedback
Autorzy:
Skruch, P.
Powiązania:
https://bibliotekanauki.pl/articles/907952.pdf
Data publikacji:
2004
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
układ drugiego rzędu
teoria stabilności
sterowanie nieliniowe
second-order system
stability theory
non-linear feedback
Opis:
A stabilization problem of second-order systems by non-linear feedback is considered. We discuss the case when only position feedback is available. The non-linear stabilizer is constructed by placing actuators and sensors in the same location and by using a parallel compensator. The stability of the closed-loop system is proved by LaSalle's theorem. The distinctive feature of the solution is that no transformation to a first-order system is invoked. The results of analytic and numerical computations are included to verify the theoretical analysis and the mathematical formulation.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2004, 14, 4; 455-460
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Estimation of discharge correction factor of modified Parshall flume using ANFIS and ANN
Autorzy:
Saran, D.
Tiwari, N. K.
Powiązania:
https://bibliotekanauki.pl/articles/1818494.pdf
Data publikacji:
2020
Wydawca:
Stowarzyszenie Komputerowej Nauki o Materiałach i Inżynierii Powierzchni w Gliwicach
Tematy:
Discharge Correction Factor
Adaptive Neuro-Fuzzy Inference System
artificial neural network
Multiple Non-linear Regression
parshall flumes
współczynnik korygujący wyładowania
adaptacyjny system neuronowo-rozmyty
sztuczna sieć neuronowa
regresja wielokrotna nieliniowa
Opis:
Purpose: To evaluate and compare the capability of ANFIS (Adaptive Neuro-Fuzzy-Inference System), ANN (Artificial Neural Network), and MNLR (Multiple Non-linear Regression) techniques in the estimation and formulation of Discharge Correction Factor (Cd) of modified Parshall flumes as based on linear relations and errors between input and output data. Design/methodology/approach: Acknowledging the necessity of further research in this field, experiments were conducted in the Hydraulics Laboratory of Civil Engineering Department, National Institute of Technology, Kurukshetra, India. The Parshall flume characteristics, associated longitudinal slopes and the discharge passing through the flume were varied. Consequent water depths at specific points in Parshall flumes were noted and the values of Cd were computed. In this manner, a data set of 128 observations was acquired. This was bifurcated arbitrarily into a training dataset consisting of 88 observations and a testing dataset consisting of 40 observations. Models developed using the training dataset were checked on the testing dataset for comparison of the performance of each predictive model. Further, an empirical relationship was formulated establishing Cd as a function of flume characteristics, longitudinal slope, and water depth at specific points using the MNLR technique. Moreover, Cd was estimated using soft computing tools; ANFIS and ANN. Finally, a sensitivity analysis was done to find out the flume variable having the greatest influence on the estimation of Cd. Findings: The predictive accuracy of the ANN-based model was found to be better than the model developed using ANFIS, followed by the model developed using the MNLR technique. Further, sensitivity analysis results indicated that primary depth reading (Ha) as input parameter has the greatest influence on the prediction capability of the developed model. Research limitations/implications: Since the soft computing models are data based learning, hence the prediction capability of these models may dwindle if data is selected beyond the current data range, which is based on the experiments conducted under specific conditions. Further, since the present study has faced time and facility constraints, hence there is still a huge scope of research in this field. Different lateral slopes, combined lateral- longitudinal slopes, and more modified Parshall flume models of larger sizes can be added to increase the versatility of the current research. Practical implications: Cd of modified Parshall flumes can be predicted using the ANN- based prediction model more accurately as compared to other considered techniques. Originality/value: The comparative analysis of prediction models, as well as the formulation of relation, has been conducted in this study. In all the previous works, little to no soft computing techniques have been applied for the analysis of Parshall flumes. Even the regression techniques have been applied only on Parshall flumes of standard sizes. However, this paper includes not only Parshall flume of standard size but also a modified Parshall flume in its pursuit of predicting Cd with the help of ANN and ANFIS based prediction models along with MNLR technique.
Źródło:
Archives of Materials Science and Engineering; 2020, 105, 1; 17--30
1897-2764
Pojawia się w:
Archives of Materials Science and Engineering
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Mass transfer effects on an unsteady MHD free convective flow of an incompressible viscous dissipative fluid past an infinite vertical porous plate
Autorzy:
Reddy, B. P.
Powiązania:
https://bibliotekanauki.pl/articles/264683.pdf
Data publikacji:
2016
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
przepływ konwekcyjny
magnetohydrodynamika
równanie różniczkowe
free convection flow
MHD
non-linear system
partial differential equation
Ritz FEM
Opis:
In this paper, a numerical solution of mass transfer effects on an unsteady free convection flow of an incompressible electrically conducting viscous dissipative fluid past an infinite vertical porous plate under the influence of a uniform magnetic field considered normal to the plate has been obtained. The non-dimensional governing equations for this investigation are solved numerically by using the Ritz finite element method. The effects of flow parameters on the velocity, temperature and concentration fields are presented through the graphs and numerical data for the skin-friction, Nusselt and Sherwood numbers are presented in tables and then discussed.
Źródło:
International Journal of Applied Mechanics and Engineering; 2016, 21, 1; 143-155
1734-4492
2353-9003
Pojawia się w:
International Journal of Applied Mechanics and Engineering
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Modelling of non-linear losses in an integrated contactless power supply for magnetically levitated elevator systems using discrete circuit elements
Autorzy:
Putri, A. K.
Appunn, R.
Hameyer, K.
Powiązania:
https://bibliotekanauki.pl/articles/141742.pdf
Data publikacji:
2015
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
contactless energy transmission
electromagnetic guiding system
equivalent circuit model
ferromagnetic material at high frequency
magnetically levitated elevator
modelling of non-linear losses
Opis:
A contactless energy transmission system is essential to supply onboard systems of electromagnetically levitated vehicles without physical contact to the guide rail. One of the possibilities to realise a contactless power supply (CPS) is by integrating the primary actuator into the guide rail of an electromagnetic guiding system (MGS). The secondary actuator is mounted on the elevator car. During the energy transmission, load dependent non-linear losses occur in the guide rail. The additional losses, which are caused by the leakage flux penetrating into the guide rail, cannot be modelled using the classical approach of iron losses in the equivalent circuit of a transformer, which is a constant parallel resistance to the mutual inductance. This paper introduces an approach for modelling the load dependent non-linear losses occurring in the guide rail using additional variable discrete circuit elements.
Źródło:
Archives of Electrical Engineering; 2015, 64, 2; 177-187
1427-4221
2300-2506
Pojawia się w:
Archives of Electrical Engineering
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Stabilizacja wahadła odwróconego z napędem inercyjnym przy pomocy regulatora LQR
Stabilization control for the interia wheel pendulum based on LQR controller
Autorzy:
Owczarkowski, A.
Gośliński, J.
Powiązania:
https://bibliotekanauki.pl/articles/408173.pdf
Data publikacji:
2012
Wydawca:
Politechnika Lubelska. Wydawnictwo Politechniki Lubelskiej
Tematy:
wahadło odwrócone
regulacja liniowo-kwadratowa LQR
system nieliniowy
sterowanie optymalne
wahadło z napędem inercyjnym IWP
LQR (Linear Quadratic Regulator)
IWP (Inertia Wheel Pendulum)
optimal control
underactuated system
non-linear system
inverted pendulum
Opis:
Niniejszy artykuł opisuje metodę stabilizacji obiektu zwanego wahadłem odwróconym z napędem inercyjnym IWP (ang. Interia Wheel Pendulum). Jest to nieliniowy układ mechaniczny w postaci wahadła odwróconego składającego się z masztu i kola zamachowego umieszczonego na szczycie napędzanego silnikiem prądu stałego. Autorzy zaproponowali stabilizację przy pomocy regulacji LQR, która do funkcjonowania wymaga linearyzacji i dyskretyzacji równań matematycznych obiektu. Wykonano działania symulacyjno-eksperymentalne potwierdzające poprawność działania proponowanej metody.
Work is about stabilizing the inverted pendulum object called IWP (Inertia Wheel Pendulum). It is a non-linear mechanical system in the form of an inverted pendulum containing a flywheel mounted on top accelerated by DC motor. The authors suggested stabilization by LQR control, which requires the linearization and discretization of the mathematical equations of the object. Simulation and experiment have confirmed proper operation of the proposed method.
Źródło:
Informatyka, Automatyka, Pomiary w Gospodarce i Ochronie Środowiska; 2012, 4a; 7-10
2083-0157
2391-6761
Pojawia się w:
Informatyka, Automatyka, Pomiary w Gospodarce i Ochronie Środowiska
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Systemy wnioskowania rozmytego (FIS) jako narzędzie nieliniowej generalizacji numerycznego modelu terenu
Fuzzy inference systems (FIS) as a tool of non-linear generalization of digital terrain models
Autorzy:
Olszewski, R.
Powiązania:
https://bibliotekanauki.pl/articles/204380.pdf
Data publikacji:
2006
Wydawca:
Polskie Towarzystwo Geograficzne
Tematy:
generalizacja
filtracja nieliniowa
system wnioskowania rozmytego
FIS
numeryczny model terenu
generalization
non-linear filtering
fuzzy inference system
digital terrain model (DTM)
Opis:
W artykule omówiono zagadnienie zastosowania systemów generalizacji danych przestrzennych opartych na logice rozmytej do modelowania rzeźby terenu na różnym poziomie uogólnienia.
Classic filtering methods of raster data (e.g. digital terrain model), such as median or gaussian filtering level the result surface, and consequently flatten the end results. A significant modification of results' range, understood as narrowing of the scope of relative altitudes in the test area, is not the only side effect of the process of DTM generalization. Gaussian filtering, and especially non-linear median filtering leads to non-linear morphometric modifications of generalized terrain relief. Structural forms common for high mountain relief, such as ridge lines and deeply cut river valleys are flattened more than other forms. In the article the author attempts to elaborate a non-linear method of raster data filtering by defining the objective generalization rules of local character. These rules determine the global process of cartographic generalization of raster-type data. In order to build a database which would enable the realization of the process of spatial data generalization, fuzzy inference systems (FIS) are applied. Application of fuzzy logic makes it possible to define generalization rules for non-linear filtering of a digital terrain model recorded in the form of an altitude matrix. In the discussed context FIS can be interpreted as a non-linear digital terrain model transformation. Compared to other non-linear modeling techniques FIS has many advantages: - it keeps the parameters of source data distribution (slant, range, etc.,) - enables open and easy to interpret definition of rules in the data base (in relation to scale, purpose, cartographic school, etc.), - it bases on linguistic variables, which facilitates the understanding of the generalization process, - it facilitates scalability of the results through parametrization of the membership function. Application of fuzzy logic and generalization systems using fuzzy inference makes it possible to automatize the generalization process while preserving subjectivity of cartographic generalization. The final effects depend on the FIS database created by the researcher.
Źródło:
Polski Przegląd Kartograficzny; 2006, T. 38, nr 4, 4; 316-325
0324-8321
Pojawia się w:
Polski Przegląd Kartograficzny
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Dynamic balance research of protected systems
Autorzy:
Naumeyko, I.
Alja'afreh, M.
Powiązania:
https://bibliotekanauki.pl/articles/411213.pdf
Data publikacji:
2015
Wydawca:
Polska Akademia Nauk. Oddział w Lublinie PAN
Tematy:
Non-linear system
singular points
eigenvalues
asymptotic behavior
first approximation
linearization
Opis:
The dynamic models of the complex ergatic objects' behavior, presented in the form of differentia equations and their systems were studied. The stability and other properties are researched. The methods of analysis and reduce of harmful factors and their impact on people were theoretically proved. The methods of analysis and critical points removal in dynamic models of hazards distribution are offered. The object of study is the system of the harmful external factors protection. Subject of research is the system of two nonlinear differential equations as a model of technical systems with protection. The object of protection is described by logistic equation. and defense system - by non-linear differential equation with a security functions of rather general form. This paper describes critical modes analysis and stationary states’ stability of protected systems with harmful influences. Numerical solution of general problem and also the analytical solution for the case of fixed expected harmful effects have been obtained. Various types of general models for "Man-machine-environment" systems were studied. Each of describes some kind of the practically important quality of object in an appropriate way. And All together they describe the object in terms of it’s safe operation. Their further detailing process results to either well-known, or some new subsystems’ models. Systems with "fast" protection at a relatively slow dynamics of the object were studied. This leads to the models with small parameter and asymptotic solutions of differentia equations. Some estimates for protection cost in different price-functional and for different functions in the right part of equation, which describes the dynamics of defense were obtained. For calculations, analysis and graphical representations some of mathematical packages was applied.
Źródło:
ECONTECHMOD : An International Quarterly Journal on Economics of Technology and Modelling Processes; 2015, 4, 3; 85-90
2084-5715
Pojawia się w:
ECONTECHMOD : An International Quarterly Journal on Economics of Technology and Modelling Processes
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Investigation of the dynamics of singular protected systems
Autorzy:
Naumeyko, I.
Alja'afreh, M.
Powiązania:
https://bibliotekanauki.pl/articles/411040.pdf
Data publikacji:
2016
Wydawca:
Polska Akademia Nauk. Oddział w Lublinie PAN
Tematy:
"Man-Machine-Environment" model
non-linear system
singular equations
asymptotic
linearization
Opis:
The analysis of asymptotic representations of the systems protected from harmful influences is carried out. Various types of general models of the "manmachineenvironment" with protection are considered. Each of them adequately describes some of the practically important qualities of the object, and they all together describe the object in terms of its safe operation. The dynamic properties of complex ergonomic systems, presented in the form of systems of differential equations with a small parameter at the derivative are investigated The methods of reducing the impact on the person of harmful factors are theoretically substantiated. The dynamic protection response speed is considered to be significantly greater than the harmful factor production rate. Numerical solution of the general problem and the analytical solution for autonomous case is obtained for harmful effects. By using asymptotic the system of equations has been solved in closed form not only for autonomous case, but also for parameters smoothly changing in time. The estimates of the cost of protection was obtained for the various cost-functionals and for different functions in the right-hand side of the equation describing the dynamics of protection. To assess the accuracy of model calculations and for graphic representation of the results mathematical package MAXIMA is used.
Źródło:
ECONTECHMOD : An International Quarterly Journal on Economics of Technology and Modelling Processes; 2016, 5, 4; 37-42
2084-5715
Pojawia się w:
ECONTECHMOD : An International Quarterly Journal on Economics of Technology and Modelling Processes
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Detection and Control Problems for Non-Linear Distributed-Parameter Systems With Delays
Autorzy:
Namir, A.
Lahmidi, F.
Labriji, E. H.
Powiązania:
https://bibliotekanauki.pl/articles/911203.pdf
Data publikacji:
2000
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
system z rozproszonymi parametrami
detekcja
sterowanie
distributed-parameter systems
non-linear discrete-time systems
detection
control
fixed-point theorems
Opis:
First, we consider non-linear discrete-time and continuous-time systems with unknown inputs. The problem of reconstructing an input using the information given by an output equation is investigated. Then we examine a control problem for non-linear discrete-time hereditary systems, i.e. the problem of finding a control which drives the state of the system from its initial value to a given desired final state. The methods used to solve these problems are based on the state-space technique and fixed-point theorems. To illustrate the outlined ideas, various numerical simulation results are presented.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2000, 10, 3; 437-464
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Nonlinear homogeneous dynamical system of fully cracked concrete beam
Autorzy:
Mohan, G.
Pandey, U. K.
Powiązania:
https://bibliotekanauki.pl/articles/1818788.pdf
Data publikacji:
2021
Wydawca:
Stowarzyszenie Komputerowej Nauki o Materiałach i Inżynierii Powierzchni w Gliwicach
Tematy:
non-linear dynamics
two-DOF systems
homogeneous dynamical systems
bilinearity ratio
cracked concrete beams
fixed beam
dynamika nieliniowa
układ dynamiczny
system homogeniczny
belka betonowa
Opis:
Purpose: Purpose of this paper is the theoretical formulation of elasto-dynamics behaviour of fully cracked concrete beams for two-degree of freedom (DOF) dynamical system. Such modelled system is demonstrated by a new class of two-DOF conservative, fully-nonlinear systems known as nonlinear homogeneous dynamical (NHD) systems. Design/methodology/approach: The theoretical formulation of Two-DOF dynamical system has been developed by using the fundamental concept of structural analysis. Further, the behaviour of such class of conservative dynamical system has been concluded by using MATLAB. Findings: Findings can be distinguished into two aspects. First, when subjected to service loads, reinforced concrete structures possess tension cracks. Due to load variation with time leads the breathing action (opening-closing-reopening) of existing cracks and the behaviour of such structures are nonlinearly-elastic. Second, such class of fully nonlinear dynamical system possess dependence of stiffness coefficients on nodal displacements. Research limitations/implications: The mechanism behind such class of fully nonlinear dynamical system is not yet fully explored. Practical implications: Practical implications are related to the structural response of fully cracked concrete beam to different earthquake excitation, especially to understand the response of such nonlinear homogeneous elasto-dynamical system with two-DOF concrete beam. Originality/value: Elasto-dynamics of fully cracked concrete beams.
Źródło:
Journal of Achievements in Materials and Manufacturing Engineering; 2021, 106, 1; 5--19
1734-8412
Pojawia się w:
Journal of Achievements in Materials and Manufacturing Engineering
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Influences of system parameters on energy harvesting from autoparametric absorber. Experimental research
Autorzy:
Mitura, A.
Kecik, K.
Powiązania:
https://bibliotekanauki.pl/articles/127927.pdf
Data publikacji:
2016
Wydawca:
Politechnika Poznańska. Instytut Mechaniki Stosowanej
Tematy:
non-linear autoparametric system
energy harvester
experimental research
magnetic levitation
nieliniowy układ autoparametryczny
odzyskiwanie energii
badania eksperymentalne
lewitacja magnetyczna
Opis:
In the paper an experimental analysis of an autoparametric system dedicated to vibration suppression and energy recovery is presented. The main part is an electromagnetic energy harvester. Its properties were defined by quasi static and dynamic tests. The obtained results show influence of selected parameters on energy recovery level. The experimentally identification of electromechanical coupling coefficient which couples mechanical and electrical systems is done.
Źródło:
Vibrations in Physical Systems; 2016, 27; 287-291
0860-6897
Pojawia się w:
Vibrations in Physical Systems
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Influences of system parameters on energy harvesting from autoparametric absorber. Numerical research
Autorzy:
Mitura, A.
Kecik, K.
Powiązania:
https://bibliotekanauki.pl/articles/127873.pdf
Data publikacji:
2016
Wydawca:
Politechnika Poznańska. Instytut Mechaniki Stosowanej
Tematy:
non-linear autoparametric system
energy harvester
vibration absorption
magnetic induction
nieliniowy układ autoparametryczny
układ pozyskiwania energii
absorpcja drgań
indukcja magnetyczna
Opis:
In the paper a numerical analysis of an autoparametric system is presented. The two main elements of a tested system are the pendulum (tuned mass absorber) and an energy harvester. The electromechanical model takes into account these both effects. Numerical simulations are made in a MATLAB software environment. The obtained results allowed estimation of influence of the system parameters on efficiency of energy harvesting.
Źródło:
Vibrations in Physical Systems; 2016, 27; 281-286
0860-6897
Pojawia się w:
Vibrations in Physical Systems
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Discrete identification of continuous non-linear andnon-stationary dynamical systems that is insensitive to noise correlation and measurement outliers
Autorzy:
Kozłowski, Janusz
Kowalczuk, Zdzisław
Powiązania:
https://bibliotekanauki.pl/articles/27312014.pdf
Data publikacji:
2023
Wydawca:
Polska Akademia Nauk. Czasopisma i Monografie PAN
Tematy:
instrumental variable
non-linear continuous-time models
optimization
supervisory systems
security systems
system identification
Opis:
The paper uses specific parameter estimation methods to identify the coefficients of continuous-time models represented by linear and non-linear ordinary differential equations. The necessary approximation of such systems in discrete time in the form of utility models is achieved by the use of properly tuned ‘integrating filters’ of the FIR type. The resulting discrete-time descriptions retain the original continuous parameterization and can be identified, for example, by the classical least squares procedure. Since in the presence of correlated noise, the estimated parameter values are burdened with an unavoidable systematic error (manifested by asymptotic bias of the estimates), in order to significantly improve the identification consistency, the method of instrumental variables is used here. In our research we use an estimation algorithm based on the least absolute values (LA) criterion of the least sum of absolute values, which is optimal in identifying linear and non-linear systems in the case of sporadic measurement errors. In the paper, we propose a procedure for determining the instrumental variable for a continuous model with non-linearity (related to the Wienerian system) in order to remove the evaluation bias, and a recursive sub-optimal version of the LA estmator. This algorithm is given in a simple (LA) version and in an instrumental variable version (IV-LA), which is robust to outliers, removes evaluation bias, and is suited to the task of identifying processes with non-linear dynamics (semi-Wienerian/NLID). In conclusion, the effectiveness of the proposed algorithmic solutions has been demonstrated by numerical simulations of the mechanical system, which is an essential part of the suspension system of a wheeled vehicle.
Źródło:
Archives of Control Sciences; 2023, 33, 2; 391--411
1230-2384
Pojawia się w:
Archives of Control Sciences
Dostawca treści:
Biblioteka Nauki
Artykuł
Wyświetlanie 1-15 z 23

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