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Wyświetlanie 1-15 z 33
Tytuł:
Selected models and methods of parameter estimation in growth curves with concomitant variables
Wybrane modele i metody estymacji parametrów w krzywych wzrostu ze zmiennymi towarzyszącymi
Autorzy:
Wesolowska-Janczarek, M.
Powiązania:
https://bibliotekanauki.pl/articles/9779.pdf
Data publikacji:
2009
Wydawca:
Uniwersytet Przyrodniczy w Lublinie. Katedra Zastosowań Matematyki i Informatyki
Tematy:
growth curve model
growth curve method
parameter estimation
growth curve
concomitant variable
data analysis
linear model
Źródło:
Colloquium Biometricum; 2009, 39
1896-7701
Pojawia się w:
Colloquium Biometricum
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Planowanie eksperymentu dla wyznaczania warunku początkowego układu o parametrach rozłożonych
Design of experiments for initial conditions identification in distributed - parameter systems
Autorzy:
Szewczyk, D.
Powiązania:
https://bibliotekanauki.pl/articles/153512.pdf
Data publikacji:
2007
Wydawca:
Stowarzyszenie Inżynierów i Techników Mechaników Polskich
Tematy:
układy o parametrach rozłożonych
rozmieszczenie czujników
estymacja parametrów
równanie różniczkowe cząstkowe
obserwowalność
distributed parameter systems
sensor location
linear parabolic equations
observability
Opis:
W pracy przedstawiony został problem optymalnego rozmieszczenia czujników pomiarowych dla liniowego układu o parametrach rozłożonych opisanego równaniem różniczkowym cząstkowym typu parabolicznego z mieszanymi warunkami brzegowymi. Przedstawiony jest również sposób wyznaczenia przybliżenia funkcyjnego warunku początkowego.
The optimum experimental design problem for linear distributed parameter systems described by linear parabolic equations is considered. The approach, based on appropriate optimization techniques, shows how to construct and determine the initial state.
Źródło:
Pomiary Automatyka Kontrola; 2007, R. 53, nr 10, 10; 7-11
0032-4140
Pojawia się w:
Pomiary Automatyka Kontrola
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Parameter identifiability for nonlinear LPV models
Autorzy:
Srinivasarengan, Krishnan
Ragot, José
Aubrun, Christophe
Maquin, Didier
Powiązania:
https://bibliotekanauki.pl/articles/2134053.pdf
Data publikacji:
2022
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
parameter identifiability
parameter estimation
linear parameter varying model
parity space approach
null space
identyfikacja parametrów
szacowanie parametrów
spacja zerowa
Opis:
Linear parameter varying (LPV) models are being increasingly used as a bridge between linear and nonlinear models. From a mathematical point of view, a large class of nonlinear models can be rewritten in LPV or quasi-LPV forms easing their analysis. From a practical point of view, that kind of model can be used for introducing varying model parameters representing, for example, nonconstant characteristics of a component or an equipment degradation. This approach is frequently employed in several model-based system maintenance methods. The identifiability of these parameters is then a key issue for estimating their values based on which a decision can be made. However, the problem of identifiability of these models is still at a nascent stage. In this paper, we propose an approach to verify the identifiability of unknown parameters for LPV or quasi-LPV state-space models. It makes use of a parity-space like formulation to eliminate the states of the model. The resulting input-output-parameter equation is analyzed to verify the identifiability of the original model or a subset of unknown parameters. This approach provides a framework for both continuous-time and discrete-time models and is illustrated through various examples.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2022, 32, 2; 255--269
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Robust fuzzy model predictive control of an overhead crane
Autorzy:
Smoczek, J.
Szpytko, J.
Powiązania:
https://bibliotekanauki.pl/articles/242944.pdf
Data publikacji:
2015
Wydawca:
Instytut Techniczny Wojsk Lotniczych
Tematy:
overhead crane
model predictive control
linear parameter varying model
fuzzy interpolation
Opis:
The method of controlling an overhead crane with respect to the variation of operating conditions and control constraints is developed using a model predictive control (MPC) and fuzzy interpolation applied in linear parameter varying (LPV) approach to crane dynamic modelling. The proposed control approach is based on the assumption that operating conditions vary within the known range of scheduling variables, and the parameters of a crane dynamic model can be interpolated by a quasi-linear fuzzy model designed through utilizing the P1-TS fuzzy theory. Hence, a crane dynamic is approximated through interpolation between a set of local linear models determined through identification experiments at the local operating points selected within the bounded intervals of scheduling variables. For the modelling assumptions, the control algorithm is developed based on a generalized predictive control (GPC) procedure taking into consideration the constraints on sway angle of a payload and control signal. Feasibility and applicability of the proposed control technique were confirmed during experiments carried out on a laboratory-scaled overhead crane. The results of experiments are presented and compared with performances of a fuzzy logic-based scheduling control scheme.
Źródło:
Journal of KONES; 2015, 22, 2; 205-212
1231-4005
2354-0133
Pojawia się w:
Journal of KONES
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Robust predictive control of an overhead crane
Autorzy:
Smoczek, J.
Szpytko, J.
Powiązania:
https://bibliotekanauki.pl/articles/243833.pdf
Data publikacji:
2017
Wydawca:
Instytut Techniczny Wojsk Lotniczych
Tematy:
overhead crane
predictive control
linear parameter varying model
recursive estimation
fuzzy interpolation
Opis:
The predictive control scheme is developed for an overhead crane using the generalized predictive procedure applied for the discrete time linear parameter-varying model of a crane dynamic. The robust control technique is developed with respect to the constraints of sway angle of a payload and control input signal. The two predictive strategies are presented and compared experimentally. In the first predictive control scheme, the online estimation of the parameters of a crane dynamic model is performed using the recursive least square algorithm. The second approach is a sensorless anti-sway control strategy. The sway angle feedback signal is estimated by a linear parameter-varying model of an unactuated pendulum system with the parameters interpolated using a quasi-linear fuzzy model designed through utilizing the P1-TS fuzzy theory. The fuzzy interpolator is applied to approximate the parameters of a crane discrete-time dynamic model within the range of scheduling variables changes: the rope length and mass of a payload. The experiments carried out on a laboratory scaled overhead crane confirmed effectiveness and feasibility of the proposed solutions. The implementation of control systems was performed using the PAC system with RX3i controller. The series of experiments carried out for different operating points proved robustness of the control approaches presented in the article.
Źródło:
Journal of KONES; 2017, 24, 2; 231-238
1231-4005
2354-0133
Pojawia się w:
Journal of KONES
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
New linear model for optimal cluster size in cluster sampling
Autorzy:
Shukla, Alok Kumar
Yadav, Subhash Kumar
Powiązania:
https://bibliotekanauki.pl/articles/1363544.pdf
Data publikacji:
2020-06-05
Wydawca:
Główny Urząd Statystyczny
Tematy:
Non-linear models
optimum cluster size
four-parameter model
variance function
Opis:
In this paper, a nonlinear model is proposed for improving the relationship between the size of a cluster and the variance within the cluster. This model describes the most appropriate functional relation between the within-cluster variance and the cluster size. Through this model, we can obtain the optimum size of a cluster and an estimate of the variance between clusters. The proposed model leads to further improvement in the estimation of the optimum size of a cluster, and the formula for the determination of optimum cluster size leads to explicit solution of models.
Źródło:
Statistics in Transition new series; 2020, 21, 2; 189-200
1234-7655
Pojawia się w:
Statistics in Transition new series
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
An LMI-based heuristic algorithm for vertex reduction in LPV systems
Autorzy:
Sanjuan, Adrián
Rotondo, Damiano
Nejjari, Fatiha
Sarrate, Ramon
Powiązania:
https://bibliotekanauki.pl/articles/331436.pdf
Data publikacji:
2019
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
linear parameter varying
linear matrix inequality
Gershgorin circles
gain scheduling
controller design
układ liniowy niestacjonarny
liniowa nierówność macierzowa
twierdzenie Gerszgorina
harmonogramowanie wzmocnienia
Opis:
The linear parameter varying (LPV) approach has proved to be suitable for controlling many non-linear systems. However, for those which are highly non-linear and complex, the number of scheduling variables increases rapidly. This fact makes the LPV controller implementation not feasible for many real systems due to memory constraints and computational burden. This paper considers the problem of reducing the total number of LPV controller gains by determining a heuristic methodology that combines two vertices of a polytopic LPV model such that the same gain can be used in both vertices. The proposed algorithm, based on the use of the Gershgorin circles, provides a combinability ranking for the different vertex pairs, which helps in solving the reduction problem in fewer attempts. Simulation examples are provided in order to illustrate the main characteristics of the proposed approach.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2019, 29, 4; 725-737
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
LMI-based robust control of uncertain nonlinear systems via polytopes of polynomials
Autorzy:
Sánchez, Marcelino
Bernal, Miguel
Powiązania:
https://bibliotekanauki.pl/articles/330548.pdf
Data publikacji:
2019
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
robust control
uncertain system
nonlinear system
linear parameter-varying systems
LMIs
sterowanie odporne
układ niepewny
układ nieliniowy
układ liniowy niestacjonarny
Opis:
This investigation is concerned with robust analysis and control of uncertain nonlinear systems with parametric uncertainties. In contrast to the methodologies from the field of linear parameter varying systems, which employ convex structures of the state space representation in order to perform analysis and design, the proposed approach makes use of a polytopic form of a generalisation of the characteristic polynomial, which proves to outperform former results on the subject. Moreover, the derived conditions have the advantage of being cast as linear matrix inequalities under mild assumptions.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2019, 29, 2; 275-283
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Determinants method of explanatory variables set selection to linear model
Autorzy:
Rzymowski, W.
Surowiec, A.
Powiązania:
https://bibliotekanauki.pl/articles/102317.pdf
Data publikacji:
2014
Wydawca:
Stowarzyszenie Inżynierów i Techników Mechaników Polskich
Tematy:
linear regression analysis
least square parameter estimation
relative error
Gram matrix
Opis:
The determinants method of explanatory variables set selection to the linear model is shown in this article. This method is very useful to find such a set of variables which satisfy small relative error of the linear model as well as small relative error of parameters estimation of this model. Knowledge of the values of the parameters of this model is not necessary. An example of the use of the determinants method for world’s population model is also shown in this article. This method was tested for 224 – 1 models for a set of 23 potential explanatory variables. 5 world’s population models with one, two, three, four and five explanatory variables were chosen and analysed.
Źródło:
Advances in Science and Technology. Research Journal; 2014, 8, 23; 80-87
2299-8624
Pojawia się w:
Advances in Science and Technology. Research Journal
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Robust quasi-LPV model reference FTC of a quadrotor UAV subject to actuator faults
Autorzy:
Rotondo, D.
Nejjari, F.
Puig, V.
Powiązania:
https://bibliotekanauki.pl/articles/331147.pdf
Data publikacji:
2015
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
linear parameter varying systems
fault tolerant control
quadrotor
model reference based control
linear matrix inequalities
układ liniowy niestacjonarny
sterowanie tolerujące uszkodzenia
liniowe nierówności macierzowe
Opis:
A solution for fault tolerant control (FTC) of a quadrotor unmanned aerial vehicle (UAV) is proposed. It relies on model reference-based control, where a reference model generates the desired trajectory. Depending on the type of reference model used for generating the reference trajectory, and on the assumptions about the availability and uncertainty of fault estimation, different error models are obtained. These error models are suitable for passive FTC, active FTC and hybrid FTC, the latter being able to merge the benefits of active and passive FTC while reducing their respective drawbacks. The controller is generated using results from the robust linear parameter varying (LPV) polytopic framework, where the vector of varying parameters is used to schedule between uncertain linear time invariant (LTI) systems. The design procedure relies on solving a set of linear matrix inequalities (LMIs) in order to achieve regional pole placement and H∞ norm bounding constraints. Simulation results are used to compare the different FTC strategies.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2015, 25, 1; 7-22
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Approximate controllability of infinite dimensional systems of the n-th order
Autorzy:
Respondek, J. S.
Powiązania:
https://bibliotekanauki.pl/articles/907950.pdf
Data publikacji:
2008
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
odwrotność macierzy Vandermonde'a
wielomian symetryczny
system rozproszony
operator liniowy
inverse Vandermonde matrix
basic symmetrical polynomials
distributed parameter system
linear operators
controllability
Opis:
The objective of the article is to obtain general conditions for several types of controllability at once for an abstract differential equation of arbitrary order, instead of conditions for a fixed order equation. This innovative approach was possible owing to analyzing the n-th order linear system in the Frobenius form which generates a Jordan transition matrix of the Vandermonde form. We extensively used the fact that the knowledge of the inverse of a Jordan transition matrix enables us to directly verify the controllability by Chen’s theorem. We used the explicit analytical form of the inverse Vandermonde matrix. This enabled us to obtain more general conditions for different types of controllability for infinite dimensional systems than the conditions existing in the literature so far. The methods introduced can be easily adapted to the analysis of other dynamic properties of the systems considered.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2008, 18, 2; 199-212
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Free Vibration Analysis of Mindlin Plates Resting on Pasternak Foundation Using Coupled Displacement Method
Autorzy:
Rajesh, K.
Saheb, K. M.
Powiązania:
https://bibliotekanauki.pl/articles/139827.pdf
Data publikacji:
2018
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
fundamental frequency parameter
Mindlin plate
linear free vibrations
computational fluid dynamics
CFD
Pasternak foundation
parametr częstotliwości podstawowej
płyta Mindlina
liniowe drgania swobodne
obliczeniowa mechanika płynów
podłoże Pasternaka
Opis:
The authors developed a simple and efficient method, called the Coupled Displacement method, to study the linear free vibration behavior of the moderately thick rectangular plates in which a single-term trigonometric/algebraic admissible displacement, such as total rotations, are assumed for one of the variables (in both X,Y directions), and the other displacement field, such as transverse displacement, is derived by making use of the coupling equations. The coupled displacement method makes the energy formulation to contain half the number of unknown independent coefficients in the case of a moderately thick plate, contrary to the conventional Rayleigh-Ritz method. The smaller number of undetermined coefficients significantly simplifies the vibration problem. The closed form expression in the form of fundamental frequency parameter is derived for all edges of simply supported moderately thick rectangular plate resting on Pasternak foundation. The results obtained by the present coupled displacement method are compared with existing open literature values wherever possible for various plate boundary conditions such as all edges simply supported, clamped and two opposite edges simply supported and clamped and the agreement found is good.
Źródło:
Archive of Mechanical Engineering; 2018, LXV, 1; 107-128
0004-0738
Pojawia się w:
Archive of Mechanical Engineering
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Analytical synthesis of parameter-varying filter of constant component with application to switching systems
Autorzy:
Piskorowski, J.
Kaszyński, R.
Powiązania:
https://bibliotekanauki.pl/articles/221736.pdf
Data publikacji:
2011
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
data acquisition
analog signal processing
transient behavior
dynamics
switching systems
linear parameter-varying technique (LPV)
linear time-varying systems (LTV)
Opis:
In this paper, we propose a concept of a continuous-time filter of constant component that exhibits a very short response in the time domain if compared to the traditional time-invariant filter. The improvement of the filter dynamics was achieved as a result of the time-varying parameters which were introduced to the filter structure. Such a designed filter is then applied in a system which switches many distorted signals which should be filtered as fast as possible. The paper is of review nature and presents both a theoretical background of the proposed filter and the results of simulations.
Źródło:
Metrology and Measurement Systems; 2011, 18, 3; 471-480
0860-8229
Pojawia się w:
Metrology and Measurement Systems
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Supervisory fault tolerant control of the GTM UAV using LPV methods
Autorzy:
Péni, T.
Vanek, B.
Szabó, Z.
Bokor, J.
Powiązania:
https://bibliotekanauki.pl/articles/330070.pdf
Data publikacji:
2015
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
fault tolerant control
linear parameter varying systems
supervisory architecture
flight control
sterowanie tolerujące uszkodzenia
układ liniowy niestacjonarny
sterowanie lotem
Opis:
A multi-level reconfiguration framework is proposed for fault tolerant control of over-actuated aerial vehicles, where the levels indicate how much authority is given to the reconfiguration task. On the lowest, first level the fault is accommodated by modifying only the actuator/sensor configuration, so the fault remains hidden from the baseline controller. A dynamic reallocation scheme is applied on this level. The allocation mechanism exploits the actuator/sensor redundancy available on the aircraft. When the fault cannot be managed at the actuator/sensor level, the reconfiguration process has access to the baseline controller. Based on the LPV control framework, this is done by introducing fault-specific scheduling parameters. The baseline controller is designed to provide an acceptable performance level along all fault scenarios coded in these scheduling variables. The decision on which reconfiguration level has to be initiated in response to a fault is determined by a supervisor unit. The method is demonstrated on a full six-degrees-of-freedom nonlinear simulation model of the GTM UAV.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2015, 25, 1; 117-131
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
An LPV pole-placement approach to friction compensation as an FTC problem
Autorzy:
Patton, R. J.
Chen, L.
Klinkhieo, S.
Powiązania:
https://bibliotekanauki.pl/articles/331466.pdf
Data publikacji:
2012
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
układ liniowy niestacjonarny
detekcja uszkodzeń
diagnostyka uszkodzeń
liniowa nierówność macierzowa
lokowanie biegunów
friction
linear parameter varying
fault detection
fault diagnosis
linear matrix inequality
pole placement
Opis:
The concept of combining robust fault estimation within a controller system to achieve active Fault Tolerant Control (FTC) has been the subject of considerable interest in the recent literature. The current study is motivated by the need to develop model-based FTC schemes for systems that have no unique equilibria and are therefore difficult to linearise. Linear Parameter Varying (LPV) strategies are well suited to model-based control and fault estimation for such systems. This contribution involves pole-placement within suitable LMI regions, guaranteeing both stability and performance of a multi-fault LPV estimator employed within an FTC structure. The proposed design strategy is illustrated using a nonlinear two-link manipulator system with friction forces acting simultaneously at each joint. The friction forces, regarded as a special case of actuator faults, are estimated and their effect is compensated within a polytope controller system, yielding a robust form of active FTC that is easy to apply to real robot systems.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2012, 22, 1; 149-160
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Wyświetlanie 1-15 z 33

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