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Wyświetlanie 1-15 z 22
Tytuł:
A new fuzzy Lyapunov approach to non-quadratic stabilization of Takagi-Sugeno fuzzy models
Autorzy:
Abdelmalek, I.
Goléa, N.
Hadjili, M. L.
Powiązania:
https://bibliotekanauki.pl/articles/911242.pdf
Data publikacji:
2007
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
liniowe nierówności macierzowe
stabilizacja
funkcja Lapunowa
model Takagi-Sugeno
system rozmyty
T-S fuzzy systems
non-quadratic stability conditions
linear matrix inequalities
parallel distributed compensation
stabilization
Opis:
In this paper, new non-quadratic stability conditions are derived based on the parallel distributed compensation scheme to stabilize Takagi-Sugeno (T-S) fuzzy systems. We use a non-quadratic Lyapunov function as a fuzzy mixture of multiple quadratic Lyapunov functions. The quadratic Lyapunov functions share the same membership functions with the T-S fuzzy model. The stability conditions we propose are less conservative and stabilize also fuzzy systems which do not admit a quadratic stabilization. The proposed approach is based on two assumptions. The first one relates to a proportional relation between multiple Lyapunov functions and the second one considers an upper bound to the time derivative of the premise membership functions. To illustrate the advantages of our proposal, four examples are given.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2007, 17, 1; 39-51
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
A novel robust H1 fuzzy state-feedback control design on nonlinear Markovian jump systems with time-varyin delay
Autorzy:
Assawinchaichote, W.
Powiązania:
https://bibliotekanauki.pl/articles/205767.pdf
Data publikacji:
2014
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
H∞ fuzzy control
Takagi-Sugeno (TS) fuzzy model
linear matrix inequalities (LMIs)
Markovian jump parameters
time-varying delay
Opis:
This paper considers the problem of designing a robust H∞ fuzzy state-feedback controller for a class of nonlinear Markovian jump systems with time-varying delay. A novel design methodology has been proposed for designing a controller that guarantees the L2-gain of the mapping from the exogenous input noise to the regulated output to be less than some prescribed value. Solutions to the problem are provided in terms of linear matrix inequalities. To illustrate the effectiveness of the design developed in this paper, a numerical example is also provided.
Źródło:
Control and Cybernetics; 2014, 43, 2; 227-248
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Generalized reasoning about faults based on the diagnostic matrix
Autorzy:
Bartyś, M.
Powiązania:
https://bibliotekanauki.pl/articles/330190.pdf
Data publikacji:
2013
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
fault isolation
binary diagnostic matrix
fault information system
alternative fault signature
dominant fault signature
matrix of alternative fault signatures
fuzzy diagnosis
lokalizacja uszkodzeń
binarna macierz diagnostyczna
sygnatura alternatywna
Opis:
This paper introduces a set of comprehensive general reasoning rules about single faults based on a diagnostic matrix. The reasoning scheme unifies inference about faults based on a conventional binary diagnostic matrix, a two- and three-valued fault isolation system as well as on their fuzzy counterparts. There are introduced and defined notions of alternative and dominant fault signatures, fuzzy fault signatures as well as a matrix of alternative signatures. This matrix is supposed to be used instead of the classic diagnostic one. It is also shown that dominant fault signatures are transformable into alternative ones. Finally, three variants of concise general reasoning rules of faults are given. Three examples illustrate key point issues of the paper. The first example refers to a medical diagnostic case. It shows an instance of dominant fault signatures and, in fact, proposes a rational approach for planning diagnostic tests. The other examples describe the fuzzy reasoning approach employing a matrix of fuzzy alternative signatures applicable for use with multi-valued fuzzy diagnostic signals. Future works are outlined in the summary section.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2013, 23, 2; 407-417
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Group decision making using interval-valued intuitionistic fuzzy soft matrix and confident weight of experts
Autorzy:
Das, S.
Kar, S.
Pal, T.
Powiązania:
https://bibliotekanauki.pl/articles/91665.pdf
Data publikacji:
2014
Wydawca:
Społeczna Akademia Nauk w Łodzi. Polskie Towarzystwo Sieci Neuronowych
Tematy:
multiple attribute group decision making
MAGDM
interval-valued intuitionistic fuzzy soft matrix
IVIFSM
interval-valued intuitionistic fuzzy soft sets
IVIFSSs
Opis:
This article proposes an algorithmic approach for multiple attribute group decision making (MAGDM) problems using interval-valued intuitionistic fuzzy soft matrix (IVIFSM) and confident weight of experts. We propose a novel concept for assigning confident weights to the experts based on cardinals of interval-valued intuitionistic fuzzy soft sets (IVIFSSs). The confident weight is assigned to each of the experts based on their preferred attributes and opinions, which reduces the chances of biasness. Instead of using medical knowledgebase, the proposed algorithm mainly relies on the set of attributes preferred by the group of experts. To make the set of preferred attributes more important, we use combined choice matrix, which is combined with the individual IVIFSM to produce the corresponding product IVIFSM. This article uses IVIFSMs for representing the experts’ opinions. IVIFSM is the matrix representation of IVIFSS and IVIFSS is a natural combination of interval-valued intuitionistic fuzzy set (IVIFS) and soft set. Finally, the performance of the proposed algorithm is validated using a case study from real life.
Źródło:
Journal of Artificial Intelligence and Soft Computing Research; 2014, 4, 1; 57-77
2083-2567
2449-6499
Pojawia się w:
Journal of Artificial Intelligence and Soft Computing Research
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Air pollution forecasting model control
Autorzy:
Domańska, D.
Wojtylak, M.
Powiązania:
https://bibliotekanauki.pl/articles/333888.pdf
Data publikacji:
2010
Wydawca:
Uniwersytet Śląski. Wydział Informatyki i Nauki o Materiałach. Instytut Informatyki. Zakład Systemów Komputerowych
Tematy:
modele systemu rozmytego
liczby rozmyte
macierz rozmyta
rozmyta prognoza pogody
zanieczyszczenie powietrza
prognozowanie
fuzzy system models
fuzzy numbers
fuzzy matrix
fuzzy weather forecast
air pollution
forecasting
Opis:
In the paper we discuss the analysis of multidimensional data. We consider the relationship between them using a special fuzzy number form. Calculations are kept on set of actual and historical meteorological data. Our model using to forecast pollution concentrations is important in today because pollutions have very big influence on our life in particular pollutions PM10 (particulate matter less than 10 µm in diameter). The effects of inhaling particulate matter have been widely studied in humans and animals and include asthma, lung cancer, cardiovascular issues, and premature death. Because of the size of the particle, they can penetrate the deepest part of the lungs. In Air Pollution Forecasting Model for the chosen weather forecast we find similar weather forecasts. Next, we find real meteorological situations from the historical data which correspond to them and we create fuzzy numbers, that is, the fuzzy weather forecasts. Then we estimate the validity of the weather forecast on the basis of the historical data and its accuracy. We investigate it with the help of a set of indicators, which corresponds to the parameters of the weather forecast, using the similarities rule of the weather forecast to the meteorological situation, a proper distance and data analysis. This comprehensive analysis allows us to investigate the effectiveness of forecasting pollution concentrations, putting the dependence between particular attributes describing the weather forecast in order and proving the legitimacy of the applicable fuzzy numbers in air pollution forecasting. Models are created for data, which are measured and forecasting in Poland. By reason of this data our models are testing in real sets of data and effects are received in active system.
Źródło:
Journal of Medical Informatics & Technologies; 2010, 14; 9-22
1642-6037
Pojawia się w:
Journal of Medical Informatics & Technologies
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Relaxed formulation of the design conditions for Takagi-Sugeno fuzzy virtual actuators
Autorzy:
Filasova, A.
Krokavec, D.
Liscinsky, P.
Powiązania:
https://bibliotekanauki.pl/articles/229418.pdf
Data publikacji:
2016
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
nonlinear dynamic systems
Takagi-Sugeno fuzzy models
fault tolerant control
static output controllers
virtual actuators
linear matrix inequalities
Opis:
The H∞ norm approach to virtual actuators design, intended to Takagi-Sugeno fuzzy continuous-time systems, is presented in the paper. Using the second Ljapunov method, the design conditions are formulated in terms of linear matrix inequalities in adapted bounded real lemma structures. Related to the static output controller, and for systems under influence of single actuator faults, the design steps are revealed for a three-tank system plant.
Źródło:
Archives of Control Sciences; 2016, 26, 2; 199-221
1230-2384
Pojawia się w:
Archives of Control Sciences
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
A practical application of kernel-based fuzzy discriminant analysis
Autorzy:
Gao, J. Q.
Fan, L. Y.
Li, L.
Xu, L. Z.
Powiązania:
https://bibliotekanauki.pl/articles/908344.pdf
Data publikacji:
2013
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
analiza dyskryminacyjna
algorytm najbliższego sąsiada
SVD
kernel fuzzy discriminant analysis
fuzzy k-nearest neighbor
QR decomposition
singular value decomposition (SVD)
fuzzy membership matrix
t-test
Opis:
A novel method for feature extraction and recognition called Kernel Fuzzy Discriminant Analysis (KFDA) is proposed in this paper to deal with recognition problems, e.g., for images. The KFDA method is obtained by combining the advantages of fuzzy methods and a kernel trick. Based on the orthogonal-triangular decomposition of a matrix and Singular Value Decomposition (SVD), two different variants, KFDA/QR and KFDA/SVD, of KFDA are obtained. In the proposed method, the membership degree is incorporated into the definition of between-class and within-class scatter matrices to get fuzzy between-class and within-class scatter matrices. The membership degree is obtained by combining the measures of features of samples data. In addition, the effects of employing different measures is investigated from a pure mathematical point of view, and the t-test statistical method is used for comparing the robustness of the learning algorithm. Experimental results on ORL and FERET face databases show that KFDA/QR and KFDA/SVD are more effective and feasible than Fuzzy Discriminant Analysis (FDA) and Kernel Discriminant Analysis (KDA) in terms of the mean correct recognition rate.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2013, 23, 4; 887-903
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Fuzzy regression : a scalar variable formation
Autorzy:
Guo, R.
Guo, D.
Powiązania:
https://bibliotekanauki.pl/articles/2069559.pdf
Data publikacji:
2008
Wydawca:
Uniwersytet Morski w Gdyni. Polskie Towarzystwo Bezpieczeństwa i Niezawodności
Tematy:
credibility measure
fuzzy variable
fuzzy regression
M-estimator
variance-covariance matrix
Opis:
In reliability, quality control and risk analysis, fuzzy methodologies are more and more involved and inevitably introduced difficulties in seeking fuzzy functional relationship between factors. In this paper, we propose a scalar variable formation of fuzzy regression model based on the credibility measure theoretical foundation. It is expecting our scalar variable treatments on fuzzy regression models will greatly simplify the efforts to seeking fuzzy functional relationship between fuzzy factors. An M-estimator for the regression coefficients is obtained and accordingly the properties and the variance-covariance for the coefficient M-estimators are also investigated in terms of weighted least-squares arguments. Finally, we explore the asymptotic membership function for the coefficient M-estimators.
Źródło:
Journal of Polish Safety and Reliability Association; 2008, 1; 159--167
2084-5316
Pojawia się w:
Journal of Polish Safety and Reliability Association
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Random fuzzy continuous-time Markov chains
Autorzy:
Guo, R.
Nyirenda, J.
Dunne, T.
Guo, D.
Powiązania:
https://bibliotekanauki.pl/articles/2069696.pdf
Data publikacji:
2009
Wydawca:
Uniwersytet Morski w Gdyni. Polskie Towarzystwo Bezpieczeństwa i Niezawodności
Tematy:
stochastic semigroup
rate matrix
credibility measure
repairable system
random fuzzy Markov process
Opis:
Continuous-time Markov chains is an important subclass in stochastic processes, which have facilitated many applications in business decisions, investment risk analysis, insurance policy making and reliability modeling. It should be fully aware that the existing continuous-time Markov chains theory is merely an ideology under which the random uncertainty governs the phenomena. However, the real world phenomena are often revealing the randomness and vagueness co-existence reality and thus the probabilistic continuous-time Markov chains modeling practices may be not adequate. In this paper, we define the random fuzzy continuous-time Markov chains, explore the related average chance distributions, and propose a scheme for the parameter estimation and a simulation scheme as well. It is expecting that a foundational work can be established for reliability modeling and risk analysis, particularly, repairable system modeling.
Źródło:
Journal of Polish Safety and Reliability Association; 2009, 1; 123--132
2084-5316
Pojawia się w:
Journal of Polish Safety and Reliability Association
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
The Assessment of Information Model Adequacy, Realized at the Simulation Aid of Information Model in the Real Poli-Ergatic System
Autorzy:
KOLOTUSHA, Volodymyr
Powiązania:
https://bibliotekanauki.pl/articles/455699.pdf
Data publikacji:
2015
Wydawca:
Uniwersytet Rzeszowski
Tematy:
poli-ergatic system
information model
simulation aid
theory of fuzzy sets
linguistic variables
imitation models
real objects
function of belonging
С-matrix
Opis:
The attempt of the assessment of information model adequacy, realized at the simulation aid of information model in the real poli-ergatic system is described in this article. The theories of fuzzy sets and linguistic variables were used. Its necessary to mention that this article is a realization oа author’s personal professional opinion.
Źródło:
Edukacja-Technika-Informatyka; 2015, 6, 3; 296-301
2080-9069
Pojawia się w:
Edukacja-Technika-Informatyka
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
LMI based fuzzy observer design for Takagi-Sugeno models containing vestigial nonlinear terms
Autorzy:
Krokavec, D.
Filasová, A.
Powiązania:
https://bibliotekanauki.pl/articles/229515.pdf
Data publikacji:
2014
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
Takagi-Sugeno models
fuzzy observer
linear matrix inequality
incremental quadratic inequality
Opis:
The paper deals with the problem of full order fuzzy observer design for the class of continuous-time nonlinear systems, represented by Takagi-Sugeno models containing vestigial nonlinear terms. On the basis of the Lyapunov stability criterion and the incremental quadratic inequalities, two design conditions for this kind of system model are outlined in the terms of linear matrix inequalities. A numerical example is given to illustrate the procedure and to validate the performances of the proposed approach.
Źródło:
Archives of Control Sciences; 2014, 24, 1; 39-52
1230-2384
Pojawia się w:
Archives of Control Sciences
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Delay-dependent generalized H2 control for discrete T-S fuzzy large-scale stochastic systems with mixed delays
Autorzy:
Li, J.
Xia, Z.
Powiązania:
https://bibliotekanauki.pl/articles/930162.pdf
Data publikacji:
2011
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
system stochastyczny
opóźnienie zależne
liniowa nierówność macierzowa
fuzzy large scale stochastic system
delay-dependent
generalized H2 control
infinite distributed delays
linear matrix inequality
Opis:
This paper is concerned with the problem of stochastic stability and generalized H2 control for discrete-time fuzzy largescale stochastic systems with time-varying and infinite-distributed delays. Large-scale interconnected systems consist of a number of discrete-time interconnected Takagi-Sugeno (T-S) subsystems. First, a novel Delay-Dependent Piecewise Lyapunov-Krasovskii Functional (DDPLKF0 is proposed, in which both the upper and the lower bound of delays are considered. Then, two improved delay-dependent stability conditions are established based on this DDPLKF in terms of Linear Matrix Inequalities (LMIs). The merit of the proposed conditions lies in its reduced conservatism, which is achieved by circumventing the utilization of some bounding inequalities for cross products of two vectors and by considering the interactions among the fuzzy subsystems in each subregion. A decentralized generalized H2 state feedback fuzzy controller is designed for each subsystem. It is shown that the mean-square stability for discrete T-S fuzzy large-scale stochastic systems can be established if a DDPLKF can be constructed and a decentralized controller can be obtained by solving a set of LMIs. Finally, an illustrative example is provided to demonstrate the effectiveness of the proposed method.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2011, 21, 4; 585-603
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Risk-based maintenance assessment in the manufacturing industry: minimisation of suboptimal prioritisation
Autorzy:
Ratnayake, R. M. Chandima
Antosz, K.
Powiązania:
https://bibliotekanauki.pl/articles/406817.pdf
Data publikacji:
2017
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
classification
fuzzy logic
manufacturing firms
risk based maintenance
risk matrix
Opis:
Manufacturing firms continuously strive to increase the efficiency and effectiveness in the maintenance management processes. Focus is placed on eliminating the unexpected failures which cause unnecessary costs and the production losses. Risk-based maintenance (RBM) strategies enable to address the above through the identification of probability and consequences of potential failures whilst providing a way for prioritisation of maintenance actions based on the risk of possible failures. Such prioritisations enable to identify the optimal maintenance strategy, intervals of maintenance tasks, and optimal level of spare parts inventory. However, the risk assessment activities are performed with the support of a risk matrix. Suboptimal classifications and/or prioritisations arise due to the inherent nature of the risk matrix. This is caused by the fact that there are no means to incorporate actual circumstances at the boundary of the input ranges or at the levels of linguistic data and risk categories. In this paper, a risk matrix is first developed in collaboration with one of the manufacturing firms in Poland. Then, it illustrates the use of fuzzy logic for minimisation of suboptimal prioritisation and/or classifications using a fuzzy inference system (FIS) together with illustrative membership functions and a rule base. Finally, an illustrative risk assessment is also demonstrated to illustrate the methodology.
Źródło:
Management and Production Engineering Review; 2017, 8, 1; 38-45
2080-8208
2082-1344
Pojawia się w:
Management and Production Engineering Review
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
BIBO stabilisation of continuous-time Takagi–Sugeno systems under persistent perturbations and input saturation
Autorzy:
Salcedo, J. V.
Martínez, M.
García-Nieto, S.
Hilario, A.
Powiązania:
https://bibliotekanauki.pl/articles/330698.pdf
Data publikacji:
2018
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
linear matrix inequalities
fuzzy system
nonlinear system
input saturation
disturbance
liniowe nierówności macierzowe
układ rozmyty
układ liniowy
nasycenie wejściowe
Opis:
This paper presents a novel approach to the design of fuzzy state feedback controllers for continuous-time non-linear systems with input saturation under persistent perturbations. It is assumed that all the states of the Takagi–Sugeno (TS) fuzzy model representing a non-linear system are measurable. Such controllers achieve bounded input bounded output (BIBO) stabilisation in closed loop based on the computation of inescapable ellipsoids. These ellipsoids are computed with linear matrix inequalities (LMIs) that guarantee stabilisation with input saturation and persistent perturbations. In particular, two kinds of inescapable ellipsoids are computed when solving a multiobjective optimization problem: the maximum volume inescapable ellipsoids contained inside the validity domain of the TS fuzzy model and the smallest inescapable ellipsoids which guarantee a minimum *-norm (upper bound of the 1-norm) of the perturbed system. For every initial point contained in the maximum volume ellipsoid, the closed loop will enter the minimum *-norm ellipsoid after a finite time, and it will remain inside afterwards. Consequently, the designed controllers have a large domain of validity and ensure a small value for the 1-norm of closed loop.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2018, 28, 3; 457-472
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
T–S fuzzy BIBO stabilisation of non-linear systems under persistent perturbations using fuzzy Lyapunov functions and non-PDC control laws
Autorzy:
Salcedo, José V.
Martínez, Miguel
García-Nieto, Sergio
Hilario, Adolfo
Powiązania:
https://bibliotekanauki.pl/articles/330030.pdf
Data publikacji:
2020
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
linear matrix inequalities
Takagi–Suegno fuzzy system
fuzzy Lyapunov function
integral delayed Lyapunov function
nonparallel distributed fuzzy controller
generalised inescapable ellipsoids
liniowe nierówności macierzowe
model rozmyty Takagi-Sugeno
funkcja Lapunowa
Opis:
This paper develops an innovative approach for designing non-parallel distributed fuzzy controllers for continuous-time non-linear systems under persistent perturbations. Non-linear systems are represented using Takagi–Sugeno fuzzy models. These non-PDC controllers guarantee bounded input bounded output stabilisation in closed-loop throughout the computation of generalised inescapable ellipsoids. These controllers are computed with linear matrix inequalities using fuzzy Lyapunov functions and integral delayed Lyapunov functions. LMI conditions developed in this paper provide non-PDC controllers with a minimum ⋆-norm (upper bound of the 1-norm) for the T–S fuzzy system under persistent perturbations. The results presented in this paper can be classified into two categories: local methods based on fuzzy Lyapunov functions with guaranteed bounds on the first derivatives of membership functions and global methods based on integral-delayed Lyapunov functions which are independent of the first derivatives of membership functions. The benefits of the proposed results are shown through some illustrative examples.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2020, 30, 3; 529-550
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Wyświetlanie 1-15 z 22

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