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    Wyświetlanie 1-14 z 14
    Tytuł:
    Further results on robust fuzzy dynamic systems with LMI D-stability constraints
    Autorzy:
    Assawinchaichote, W.
    Powiązania:
    https://bibliotekanauki.pl/articles/331041.pdf
    Data publikacji:
    2014
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    fuzzy controller
    robust control
    LMI approach
    D-stability
    Takagi-Sugeno fuzzy model
    regulator rozmyty
    sterowanie odporne
    stabilność
    model Takagi-Sugeno
    Opis:
    This paper examines the problem of designing a robust H∞ fuzzy controller with D-stability constraints for a class of nonlinear dynamic systems which is described by a Takagi–Sugeno (TS) fuzzy model. Fuzzy modelling is a multi-model approach in which simple sub-models are combined to determine the global behavior of the system. Based on a linear matrix inequality (LMI) approach, we develop a robust H∞ fuzzy controller that guarantees (i) the L2-gain of the mapping from the exogenous input noise to the regulated output to be less than some prescribed value, and (ii) the closed-loop poles of each local system to be within a specified stability region. Sufficient conditions for the controller are given in terms of LMIs. Finally, to show the effectiveness of the designed approach, an example is provided to illustrate the use of the proposed methodology.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2014, 24, 4; 785-794
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Fuzzy adaptive control of a class of MISO nonlinear systems
    Autorzy:
    Lagrat, I.
    Ouakka, H.
    Boutnhidi, I.
    Powiązania:
    https://bibliotekanauki.pl/articles/971004.pdf
    Data publikacji:
    2008
    Wydawca:
    Polska Akademia Nauk. Instytut Badań Systemowych PAN
    Tematy:
    identyfikacja
    sterowanie adaptacyjne
    układ nieliniowy
    MISO systems
    identification
    fuzzy clustering
    Takagi-Sugeno fuzzy model
    adaptive control
    nonlinear system
    Opis:
    This paper presents a fuzzy adaptive control of a class of MISO nonlinear systems. The dynamic behaviour of each MISO systems is composed of a nonlinear term, interactions effect between the inputs, and disturbances. In these circumstances, adaptive control becomes very difficult to implement and not always an evident task. Thus, the MISO system is approximated by the Takagi-Sugeno fuzzy model. The advantage of this approximation is beneficial in the sense that it allows for converting the nonlinear problem into a linear one. In this respect, the coupling, nonlinearity and unmodeled dynamics are easily compensated. The identification and the control are conducted at the level of each local linear model based on fuzzy approach. The computational load and the complexity of nonlinear approach are reduced and permit wide applicability. The validity and the performance are tested numerically.
    Źródło:
    Control and Cybernetics; 2008, 37, 1; 177-190
    0324-8569
    Pojawia się w:
    Control and Cybernetics
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Beta Fuzzy Logic Systems: Approximation Properties in the mimo Case
    Autorzy:
    Alimi, A. M.
    Hassine, R.
    Selmi, M.
    Powiązania:
    https://bibliotekanauki.pl/articles/908193.pdf
    Data publikacji:
    2003
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    informatyka
    beta function
    universal approximation property
    best approximation property
    interpolation property
    Sugeno fuzzy model
    MIMO systems
    Opis:
    Many researches have been interested in the approximation properties of Fuzzy Logic Systems (FLS), which, like neural networks, can be seen as approximation schemes. Almost all of them tackled the Mamdani fuzzy model, which was shown to have many interesting approximation features. However, only in few cases the Sugeno fuzzy model was considered. In this paper, we are interested in the zero-order Multi-Input-Multi-Output (MIMO) Sugeno fuzzy model with Beta membership functions. This leads to Beta Fuzzy Logic Systems (BFLS). We show that BFLSs are universal approximators. We also prove that they possess the best approximation property and the interpolation characteristic.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2003, 13, 2; 225-238
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Beta neuro-fuzzy systems
    Autorzy:
    Alimi, A. M.
    Powiązania:
    https://bibliotekanauki.pl/articles/1931568.pdf
    Data publikacji:
    2003
    Wydawca:
    Politechnika Gdańska
    Tematy:
    beta function
    kernel based neural networks
    Sugeno fuzzy model
    neuro-fuzzy systems
    universal approximation property
    learning algorithms
    incremental learning
    Opis:
    In this paper we present the Beta function and its main properties. A key feature of the Beta function, which is given by the central-limit theorem, is also given. We then introduce a new category of neural networks based on a new kernel: the Beta function. Next, we investigate the use of Beta fuzzy basis functions for the design of fuzzy logic systems. The functional equivalence between Beta-based function neural networks and Beta fuzzy logic systems is then shown with the introduction of Beta neuro-fuzzy systems. By using the SW theorem and expanding the output of the Beta neuro-fuzzy system into a series of Beta fuzzy-based functions, we prove that one can uniformly approximate any real continuous function on a compact set to any arbitrary accuracy. Finally, a learning algorithm of the Beta neuro-fuzzy system is described and illustrated with numerical examples.
    Źródło:
    TASK Quarterly. Scientific Bulletin of Academic Computer Centre in Gdansk; 2003, 7, 1; 23-41
    1428-6394
    Pojawia się w:
    TASK Quarterly. Scientific Bulletin of Academic Computer Centre in Gdansk
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Beta Fuzzy Logic Systems: Approximation Properties in the Siso Case
    Autorzy:
    Alimi, A. M.
    Hassine, R.
    Selmi, M.
    Powiązania:
    https://bibliotekanauki.pl/articles/911157.pdf
    Data publikacji:
    2000
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    funkcja beta
    własność aproksymacyjna
    model rozmyty
    beta function
    universal approximation property
    best approximation property
    interpolation property
    Sugeno fuzzy model
    SISO systems
    Opis:
    In this paper, a Single-Input Single-Output (SISO) Sugeno fuzzy model of the zeroth order with Beta membership functions for input variables is adopted. After the introduction of Beta Fuzzy Logic Systems (BFLS) a constructive theory is developed to establish the fact that they are universal approximators. Based on this theory, an algorithm, which can actually construct a BFLS approximating a given continuous function with an arbitrary degree of accuracy, is described. We then show that BFLSs satisfy more critical properties which are the best approximation property and the interpolation property. We complete the paper with a series of numerical comparisons between the approximation performances of BFLSs and other classes of widely used fuzzy logic systems. These comparisons confirm that BFLSs perform best in all the cases studied.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2000, 10, 4; 857-875
    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:
    Block-structured models composed of nonlinear fuzzy dynamic and static parts : a case study
    Autorzy:
    Bazydło, P.
    Marusak, P.
    Powiązania:
    https://bibliotekanauki.pl/articles/384609.pdf
    Data publikacji:
    2018
    Wydawca:
    Sieć Badawcza Łukasiewicz - Przemysłowy Instytut Automatyki i Pomiarów
    Tematy:
    block-structured model
    Takagi-Sugeno model
    identification
    modelling
    fuzzy logic
    model blokowy
    modele Takagi-Sugeno
    identyfikacja
    modelowanie
    logika rozmyta
    Opis:
    The paper addresses issues of the dynamic fuzzy Takagi- Sugeno models identification for multi-step ahead prediction. In the case of highly nonlinear models, standard Takagi-Sugeno models may be hard to identify if they should be designed for recurrent prediction generation. In such a case, alternative fuzzy block-structured models composed of fuzzy dynamic and fuzzy static parts may be useful. Two main benefits of the proposed models are: (1) possibility to speed-up model tuning procedure, (2) potential to fine-tune an already available, standard Takagi-Sugeno model. The benefits offered by the proposed models are illustrated using the example of identification of a nonlinear process – a system consisting of two tanks of different shapes (cylindrical and conical ones).
    Źródło:
    Journal of Automation Mobile Robotics and Intelligent Systems; 2018, 12, 1; 50-60
    1897-8649
    2080-2145
    Pojawia się w:
    Journal of Automation Mobile Robotics and Intelligent Systems
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Design and Stability of Fuzzy Logic Multi-Regional Output Controllers
    Autorzy:
    Domański, P.
    Brdyś, M. A.
    Tatjewski, P.
    Powiązania:
    https://bibliotekanauki.pl/articles/908274.pdf
    Data publikacji:
    1999
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    sterowanie nieliniowe
    sterowanie wewnętrzne
    zbiór rozmyty
    model Takagi-Sugeno
    nonlinear output control
    fuzzy logic
    Takagi-Sugeno models
    stability conditions
    Opis:
    Design and stability analysis of fuzzy multi-regional digital controllers is considered in the paper. The controllers are based on a notion of NARMAX systems, very similar to the Takagi-Sugeno fuzzy model. The nonlinear system is approximated by a number of linear subsystems. Linear controllers are designed for all subsystems. It can be made in a classical way due to the subsystems linearity. The controllers are blended into one controller by employing fuzzy logic, the result being the fuzzy multi-regional controller (FuMR). The stability analysis of nonlinear systems with FuMR controllers composed of dynamic output feedback local linear controllers is provided. Examples illustrate the design procedure and the meaning of the stability criterion.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 1999, 9, 4; 883-897
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    A novel fuzzy c-regression model algorithm using a new error measure and particle swarm optimization
    Autorzy:
    Soltani, M.
    Chaari, A.
    Ben Hmida, F.
    Powiązania:
    https://bibliotekanauki.pl/articles/330134.pdf
    Data publikacji:
    2012
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    model rozmyty Takagi-Sugeno
    algorytm grupowania
    metoda najmniejszych kwadratów
    optymalizacja rojem cząstek
    Takagi-Sugeno fuzzy models
    noise clustering algorithm
    fuzzy c-regression model
    orthogonal least squares
    particle swarm optimization (PSO)
    Opis:
    This paper presents a new algorithm for fuzzy c-regression model clustering. The proposed methodology is based on adding a second regularization term in the objective function of a Fuzzy C-Regression Model (FCRM) clustering algorithm in order to take into account noisy data. In addition, a new error measure is used in the objective function of the FCRM algorithm, replacing the one used in this type of algorithm. Then, particle swarm optimization is employed to finally tune parameters of the obtained fuzzy model. The orthogonal least squares method is used to identify the unknown parameters of the local linear model. Finally, validation results of two examples are given to demonstrate the effectiveness and practicality of the proposed algorithm.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2012, 22, 3; 617-628
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Nonlinear actuator fault estimation observer: an inverse system approach via a T-S fuzzy model
    Autorzy:
    Xu, D.
    Jiang, B.
    Shi, P.
    Powiązania:
    https://bibliotekanauki.pl/articles/331464.pdf
    Data publikacji:
    2012
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    model rozmyty Takagi-Sugeno
    obserwator ślizgowy
    system odwrotny
    actuator fault estimation
    Takagi-Sugeno fuzzy models
    robust sliding mode observer
    inverse system method
    Opis:
    Based on a Takagi-Sugeno (T-S) fuzzy model and an inverse system method, this paper deals with the problem of actuator fault estimation for a class of nonlinear dynamic systems. Two different estimation strategies are developed. Firstly, T-S fuzzy models are used to describe nonlinear dynamic systems with an actuator fault. Then, a robust sliding mode observer is designed based on a T-S fuzzy model, and an inverse system method is used to estimate the actuator fault. Next, the second fault estimation strategy is developed. Compared with some existing techniques, such as adaptive and sliding mode methods, the one presented in this paper is easier to be implemented in practice. Finally, two numerical examples are given to demonstrate the efficiency of the proposed techniques.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2012, 22, 1; 183-196
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Comparision of Two Construction Algorithms for Takagi-Sugeno Fuzzy Models
    Autorzy:
    Nelles, O.
    Fink, A.
    Babuska, R.
    Setnes, M.
    Powiązania:
    https://bibliotekanauki.pl/articles/911156.pdf
    Data publikacji:
    2000
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    modelowanie
    identyfikacja
    model rozmyty
    turbosprężarka doładowująca
    modeling
    identification
    Takagi-Sugeno fuzzy models
    local linear models
    turbocharger
    Opis:
    This paper compares two different approaches to the construction of Takagi-Sugeno fuzzy models from data. These models approximate nonlinear systems by means of interpolation between local linear models. The main issue in the construction of Takagi-Sugeno models is the decomposition of the operating space into validity regions for the local models. The way this decomposition is done influences the complexity, accuracy and transparency of the obtained model. The first of the presented methods, the local linear model tree (LOLIMOT) algorithm generates incrementally the fuzzy model by axis-orthogonal decomposition of the input space. In the other method, product-space fuzzy clustering (the Gustafson-Kessel algorithm) is used to partition the available data into fuzzy subsets. The fundamental advantages and drawbacks of both the alternative strategies are pointed out. Their properties and real-world applicability are illustrated by building a dynamic model of a truck Diesel engine turbocharger.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2000, 10, 4; 835-855
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Stability analysis and H∞ control of discrete T–S fuzzy hyperbolic systems
    Autorzy:
    Duan, R.
    Li, J.
    Zhang, Y.
    Yang, Y.
    Chen, G.
    Powiązania:
    https://bibliotekanauki.pl/articles/331173.pdf
    Data publikacji:
    2016
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    discrete T–S fuzzy hyperbolic model
    parallel distributed compensation
    positive diagonally dominant matrices
    robust stability
    model Takagi-Sugeno
    kompensacja rozproszona
    sterowanie odporne
    Opis:
    This paper focuses on the problem of constraint control for a class of discrete-time nonlinear systems. Firstly, a new discrete T–S fuzzy hyperbolic model is proposed to represent a class of discrete-time nonlinear systems. By means of the parallel distributed compensation (PDC) method, a novel asymptotic stabilizing control law with the “soft” constraint property is designed. The main advantage is that the proposed control method may achieve a small control amplitude. Secondly, for an uncertain discrete T–S fuzzy hyperbolic system with external disturbances, by the proposed control method, the robust stability and H∞ performance are developed by using a Lyapunov function, and some sufficient conditions are established through seeking feasible solutions of some linear matrix inequalities (LMIs) to obtain several positive diagonally dominant (PDD) matrices. Finally, the validity and feasibility of the proposed schemes are demonstrated by a numerical example and a Van de Vusse one, and some comparisons of the discrete T–S fuzzy hyperbolic model with the discrete T–S fuzzy linear one are also given to illustrate the advantage of our approach.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2016, 26, 1; 133-145
    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
    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
      Wyświetlanie 1-14 z 14

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