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    Wyświetlanie 1-8 z 8
    Tytuł:
    Analytic Interpolation and the Degree Constraint
    Autorzy:
    Georgiou, T. T.
    Powiązania:
    https://bibliotekanauki.pl/articles/908329.pdf
    Data publikacji:
    2001
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    interpolacja analityczna
    szereg czasowy
    analytic interpolation
    uniformly optimal control
    spectral analysis of time-series
    Opis:
    Analytic interpolation problems arise quite naturally in a variety of engineering applications. This is due to the fact that analyticity of a (transfer) function relates to the stability of a corresponding dynamical system, while positive realness and contractiveness relate to passivity. On the other hand, the degree of an interpolant relates to the dimension of the pertinent system, and this motivates our interest in constraining the degree of interpolants. The purpose of the present paper is to make an overview of recent developments on the subject as well as to highlight an application of the theory.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2001, 11, 1; 271-279
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Quantitative Lp stability analysis of a class of linear time-varying feedback systems
    Autorzy:
    Gurfil, P.
    Powiązania:
    https://bibliotekanauki.pl/articles/908206.pdf
    Data publikacji:
    2003
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    automatyka
    robotyka
    Lp stability
    time-varying Lur'e systems
    functional analysis
    Opis:
    The Lp stability of linear feedback systems with a single time-varying sector-bounded element is considered. A sufficient condition for Lp stability, with 1LpL Y, is obtained by utilizing the well-known small gain theorem. Based on the stability measure provided by this theorem, quantitative results that describe output-to-input relations are obtained. It is proved that if the linear time-invariant part of the system belongs to the class of proper positive real transfer functions with a single pole at the origin, the upper bound on the output-to-input ratio is constant. Thus, an explicit closed-form calculation of this bound for some simple particular case provides a powerful generalization for the more complex cases. The importance of the results is illustrated by an example taken from missile guidance theory.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2003, 13, 2; 179-184
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Modeling and Control of a 4-wheel Skid-steering Mobile Robot
    Autorzy:
    Kozłowski, K.
    Pazderski, D.
    Powiązania:
    https://bibliotekanauki.pl/articles/907961.pdf
    Data publikacji:
    2004
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    robot mobilny
    backstepping
    analiza Lyapunova
    mobile robots
    skid-steering vehicles
    time-varying control laws
    Lyapunov analysis
    Opis:
    A mathematical model of a 4-wheel skid-steering mobile robot is presented in a systematic way. The robot is considered as a subsystem consisting of kinematic, dynamic and drive levels. Next, a designing process of a kinematic controller based on the algorithm introduced by (Dixon et al., 2001) is shown. An extension of the kinematic control law at the dynamic and motor levels using the Lyapunov analysis and the backstepping technique is developed. To validate the designed algorithm, extensive simulation results for trajectory tracking and set-point cases are discussed. Some deliberations concerning the tuning of the controller are presented, too.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2004, 14, 4; 477-496
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Stability analysis of interconnected discrete-time fractional-order LTI state-space systems
    Autorzy:
    Grzymkowski, Łukasz
    Trofimowicz, Damian
    Stefański, Tomasz P.
    Powiązania:
    https://bibliotekanauki.pl/articles/1838161.pdf
    Data publikacji:
    2020
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    stability analysis
    discrete time system
    fractional order system
    analiza stabilności
    układ czasu dyskretnego
    układ rzędu ułamkowego
    Opis:
    In this paper, a stability analysis of interconnected discrete-time fractional-order (FO) linear time-invariant (LTI) state-space systems is presented. A new system is formed by interconnecting given FO systems using cascade, feedback, parallel interconnections. The stability requirement for such a system is that all zeros of a non-polynomial characteristic equation must be within the unit circle on the complex z-plane. The obtained theoretical results lead to a numerical test for stability evaluation of interconnected FO systems. It is based on modern root-finding techniques on the complex plane employing triangulation of the unit circle and Cauchy’s argument principle. The developed numerical test is simple, intuitive and can be applied to a variety of systems. Furthermore, because it evaluates the function related to the characteristic equation on the complex plane, it does not require computation of state-matrix eigenvalues. The obtained numerical results confirm the efficiency of the developed test for the stability analysis of interconnected discrete-time FO LTI state-space systems.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2020, 30, 4; 649-658
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Maintaining the feasibility of hard real-time systems with a reduced number of priority levels
    Autorzy:
    Qureshi, M. B.
    Alrashed, S.
    Min-Allah, N.
    Kołodziej, J.
    Arabas, P.
    Powiązania:
    https://bibliotekanauki.pl/articles/330305.pdf
    Data publikacji:
    2015
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    real time system
    feasibility analysis
    fixed priority scheduling
    rate monotonic algorithm
    online scheduling
    system czasu rzeczywistego
    analiza wykonalności
    algorytm szeregowania
    Opis:
    When there is a mismatch between the cardinality of a periodic task set and the priority levels supported by the underlying hardware systems, multiple tasks are grouped into one class so as to maintain a specific level of confidence in their accuracy. However, such a transformation is achieved at the expense of the loss of schedulability of the original task set. We further investigate the aforementioned problem and report the following contributions: (i) a novel technique for mapping unlimited priority tasks into a reduced number of classes that do not violate the schedulability of the original task set and (ii) an efficient feasibility test that eliminates insufficient points during the feasibility analysis. The theoretical correctness of both contributions is checked through formal verifications. Moreover, the experimental results reveal the superiority of our work over the existing feasibility tests by reducing the number of scheduling points that are needed otherwise.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2015, 25, 4; 709-722
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    A new sufficient schedulability analysis for hybrid scheduling
    Autorzy:
    Zhang, F.
    Zhai, Y.
    Liao, J.
    Powiązania:
    https://bibliotekanauki.pl/articles/330353.pdf
    Data publikacji:
    2016
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    scheduling algorithm
    real time system
    schedulability analysis
    preemptive scheduling
    earliest deadline first
    fixed priority
    algorytm szeregowania
    system czasu rzeczywistego
    analiza szeregowalności
    Opis:
    Earliest deadline first (EDF) and fixed priority (FP) are the most commonly used and studied scheduling algorithms for real-time systems. This paper focuses on combining the EDF and FP strategies in one system. We provide a new sufficient schedulability analysis for real-time hybrid task systems which are scheduled by EDF and FP. The proposed analysis has a polynomial time complexity and no restrictions on task parameters, where the relative deadline of each task could be less than, equal to, or greater than its period. By extensive experiments, we show that our proposed analysis significantly improves the acceptance ratio compared with the existing results of the sufficient schedulability test for hybrid scheduling systems.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2016, 26, 3; 683-692
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Forecasting models for chaotic fractional-order oscillators using neural networks
    Autorzy:
    Bingi, Kishore
    Prusty, B Rajanarayan
    Powiązania:
    https://bibliotekanauki.pl/articles/2055150.pdf
    Data publikacji:
    2021
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    chaotic oscillators
    data driven forecasting
    fractional order system
    model free analysis
    neural network
    time series prediction
    oscylator chaotyczny
    układ rzędu ułamkowego
    sieć neuronowa
    prognozowanie szeregów czasowych
    Opis:
    This paper proposes novel forecasting models for fractional-order chaotic oscillators, such as Duffing’s, Van der Pol’s, Tamaševičius’s and Chua’s, using feedforward neural networks. The models predict a change in the state values which bears a weighted relationship with the oscillator states. Such an arrangement is a suitable candidate model for out-of-sample forecasting of system states. The proposed neural network-assisted weighted model is applied to the above oscillators. The improved out-of-sample forecasting results of the proposed modeling strategy compared with the literature are comprehensively analyzed. The proposed models corresponding to the optimal weights result in the least mean square error (MSE) for all the system states. Further, the MSE for the proposed model is less in most of the oscillators compared with the one reported in the literature. The proposed prediction model’s out-of-sample forecasting plots show the best tracking ability to approximate future state values.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2021, 31, 3; 387--398
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Observer-based fault-tolerant control against sensor failures for fuzzy systems with time delays
    Autorzy:
    Tong, S.
    Yang, G.
    Zhang, W.
    Powiązania:
    https://bibliotekanauki.pl/articles/930168.pdf
    Data publikacji:
    2011
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    sterowanie rozmyte
    sterowanie z opóźnieniem
    obserwator stanu
    sterowanie tolerujące uszkodzenia
    liniowa nierówność macierzowa
    analiza stateczności
    fuzzy time delay systems
    sensor faults
    state observer
    fault tolerant control
    linear matrix inequalities
    stability analysis
    Opis:
    This paper addresses the problems of robust fault estimation and fault-tolerant control for Takagi-Sugeno (T-S) fuzzy systems with time delays and unknown sensor faults. A fuzzy augmented state and fault observer is designed to achieve the system state and sensor fault estimates simultaneously. Furthermore, based on the information of on-line fault estimates, an observer-based dynamic output feedback fault-tolerant controller is developed to compensate for the effect of faults by stabilizing the resulting closed-loop system. Sufficient conditions for the existence of both a state observer and a fault-tolerant controller are given in terms of linear matrix inequalities. A simulation example is given to illustrate the effectiveness of the proposed approach.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2011, 21, 4; 617-627
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
      Wyświetlanie 1-8 z 8

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