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    Wyświetlanie 1-13 z 13
    Tytuł:
    Iterative estimators of parameters in linear models with partially variant coefficients
    Autorzy:
    Hu, S.
    Meinke, K.
    Chen, R.
    Huajiang, O.
    Powiązania:
    https://bibliotekanauki.pl/articles/929607.pdf
    Data publikacji:
    2007
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    model liniowy
    estymacja parametrów
    algorytm iteracyjny
    współczynnik zmienności
    linear model
    parameter estimation
    iterative algorithms
    variant coefficients
    Opis:
    A new kind of linear model with partially variant coefficients is proposed and a series of iterative algorithms are introduced and verified. The new generalized linear model includes the ordinary linear regression model as a special case. The iterative algorithms efficiently overcome some difficulties in computation with multidimensional inputs and incessantly appending parameters. An important application is described at the end of this article, which shows that this new model is reasonable and applicable in practical fields.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2007, 17, 2; 179-187
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    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:
    Analysis of the descriptor Roesser model with the use of the Drazin inverse
    Autorzy:
    Kaczorek, T.
    Powiązania:
    https://bibliotekanauki.pl/articles/329922.pdf
    Data publikacji:
    2015
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    Drazin inverse
    descriptor
    Roesser model
    descriptor time
    2D linear system
    odwrotność Drazina
    deskryptor
    model Roessera
    układ liniowy 2D
    Opis:
    A method of analysis for a class of descriptor 2D discrete-time linear systems described by the Roesser model with a regular pencil is proposed. The method is based on the transformation of the model to a special form with the use of elementary row and column operations and on the application of a Drazin inverse of matrices to handle the model. The method is illustrated with a numerical example.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2015, 25, 3; 539-546
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    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:
    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:
    Computation of realizations composed of dynamic and static parts of improper transfer matrices
    Autorzy:
    Kaczorek, T.
    Powiązania:
    https://bibliotekanauki.pl/articles/911238.pdf
    Data publikacji:
    2007
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    model minimalny
    macierz przejścia
    system liniowy singularny
    minimal realization
    decomposition
    improper transfer matrix
    singular linear system
    Opis:
    The problem of computing minimal realizations of a singular system decomposed into a standard dynamical system and a static system of a given improper transfer matrix is formulated and solved. A new notion of the minimal dynamical-static realization is introduced. It is shown that there always exists a minimal dynamical-static realization of a given improper transfer matrix. A procedure for the computation of a minimal dynamical-static realization for a given improper transfer matrix is proposed and illustrated by a numerical example.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2007, 17, 1; 23-25
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Predictive control for trajectory tracking and decentralized navigation of multi-agent formations
    Autorzy:
    Prodan, I.
    Olaru, S.
    Stoica, C.
    Niculescu, S. I.
    Powiązania:
    https://bibliotekanauki.pl/articles/330700.pdf
    Data publikacji:
    2013
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    multi-agent system
    linear system
    model predictive control
    potential function
    polyhedral function
    system wieloagentowy
    system linearny
    sterowanie predykcyjne
    funkcja potencjału
    Opis:
    This paper addresses a predictive control strategy for a particular class of multi-agent formations with a time-varying topology. The goal is to guarantee tracking capabilities with respect to a reference trajectory which is pre-specified for an agent designed as the leader. Then, the remaining agents, designed as followers, track the position and orientation of the leader. In real-time, a predictive control strategy enhanced with the potential field methodology is used in order to derive a feedback control action based only on local information within the group of agents. The main concern is that the interconnections between the agents are time-varying, affecting the neighborhood around each agent. The proposed method exhibits effective performance validated through some illustrative examples.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2013, 23, 1; 91-102
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Adaptive control through on-line optimization. The MPCI paradigm and variants
    Autorzy:
    Nikolaou, M.
    Eker, S. A.
    Powiązania:
    https://bibliotekanauki.pl/articles/908314.pdf
    Data publikacji:
    1999
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    sterowanie adaptacyjne
    sterowanie predykcyjne
    wzbudzanie trwałe
    adaptive control
    model predictive control
    closed-loop identification
    persistent excitation
    linear matrix inequalities
    semidefinite programming
    Opis:
    A new variant of Model Predictive Control and Identification (MPCI) is proposed. The on-line objective is not to minimize the sum of square errors, but to maximize on-line the sum of the lower bounds on the minimum eigenvalues of the information matrices over finite horizons. In that way, inputs to the controlled process are allowed to excite the process highly enough to generate as much modelling information as possible, while the process goes off-spec as little as possible. Constraints can be loosened or tightened according to the need for identification. The effectiveness of the proposed new methodology is illustrated through a number of simulations.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 1999, 9, 1; 25-52
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    A geometric approach to structural model matching by output feedback in linear impulsive systems
    Autorzy:
    Zattoni, E.
    Powiązania:
    https://bibliotekanauki.pl/articles/330301.pdf
    Data publikacji:
    2018
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    linear impulsive system
    hybrid system
    model matching
    disturbance decoupling
    geometric approach
    structural properties
    układ liniowy impulsowy
    układ hybrydowy
    dopasowanie modelu
    właściwości strukturalne
    Opis:
    This paper provides a complete characterization of solvability of the problem of structural model matching by output feedback in linear impulsive systems with nonuniformly spaced state jumps. Namely, given a linear impulsive plant and a linear impulsive model, both subject to sequences of state jumps which are assumed to be simultaneous and measurable, the problem consists in finding a linear impulsive compensator that achieves exact matching between the respective forced responses of the linear impulsive plant and of the linear impulsive model, by means of a dynamic feedback of the plant output, for all the admissible input functions and for all the admissible sequences of jump times. The solution of the stated problem is achieved by reducing it to an equivalent problem of structural disturbance decoupling by dynamic feedforward. Indeed, this latter problem is formulated for the so-called extended linear impulsive system, which consists of a suitable connection between the given plant and a modified model. A necessary and sufficient condition for the solution of the structural disturbance decoupling problem is first shown. The proof of sufficiency is constructive, since it is based on the synthesis of the compensator that solves the problem. The proof of necessity is based on the definition and the geometric properties of the unobservable subspace of a linear impulsive system subject to unequally spaced state jumps. Finally, the equivalence between the two structural problems is formally established and proven.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2018, 28, 1; 25-38
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Fractional order tube model reference adaptive control for a class of fractional order linear systems
    Autorzy:
    Balaska, Hanane
    Ladaci, Samir
    Djouambi, Abdelbaki
    Schulte, Horst
    Bourouba, Bachir
    Powiązania:
    https://bibliotekanauki.pl/articles/330930.pdf
    Data publikacji:
    2020
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    fractional order system
    linear system
    model reference adaptive control
    fractional adaptive control
    performance tube
    fractional order TMRAC
    system ułamkowego rzędu
    system liniowy
    sterowanie adaptacyjne
    Opis:
    We introduce a novel fractional order adaptive control design based on the tube model reference adaptive control (TMRAC) scheme for a class of fractional order linear systems. By considering an adaptive state feedback control configuration, the main idea is to replace the classical reference model with a single predetermined trajectory by a fractional order performance tube guidance model allowing a set of admissible trajectories. Besides, an optimization problem is formulated to compute an on-line correction control signal within specified bounds in order to update the system performance while minimizing a control cost criterion. The asymptotic stability of the closed loop fractional order control system is demonstrated using an extension of the Lyapunov direct method. The dynamical performance of the fractional order tube model reference adaptive control (FOTMRAC) is compared with the standard fractional order model reference adaptive control (FOMRAC) strategy, and the simulation results show the effectiveness of the proposed control method.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2020, 30, 3; 501-515
    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
    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:
    J-energy preserving well-posed linear systems
    Autorzy:
    Staffans, O. J.
    Powiązania:
    https://bibliotekanauki.pl/articles/908123.pdf
    Data publikacji:
    2001
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    układ zachowawczy
    system liniowy
    równanie Lyapunova
    równanie różniczkowe Riccatiego
    well-posed linear systems
    system node
    transfer function
    Lax-Phillips semigroup
    dissipative systems
    conservative system
    model theory
    conservative realization
    J-energy-preserving system
    Lyapunov equations
    Riccati equation
    Opis:
    The following is a short survey of the notion of a well-posed linear system. We start by describing the most basic concepts, proceed to discuss dissipative and conservative systems, and finally introduce J-energy-preserving systems, i.e., systems that preserve energy with respect to some generalized inner products (possibly semi-definite or indefinite) in the input, state and output spaces. The class of well-posed linear systems contains most linear time-independent distributed parameter systems: internal or boundary control of PDE's, integral equations, delay equations, etc. These systems have existed in an implicit form in the mathematics literature for a long time, and they are closely connected to the scattering theory by Lax and Phillips and to the model theory by Sz.-Nagy and Foias. The theory has been developed independently by many different schools, and it is only recently that these different approaches have begun to converge. One of the most interesting objects of the present study is the Riccati equation theory for this class of infinite-dimensional systems (H2- and Hinfty-theories).
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2001, 11, 6; 1361-1378
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
      Wyświetlanie 1-13 z 13

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