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Wyświetlanie 1-15 z 33
Tytuł:
Feedback Stabilization of Continuous Systems by Adding an Integrator
Autorzy:
Outbib, R.
Aggoune, W.
Powiązania:
https://bibliotekanauki.pl/articles/908264.pdf
Data publikacji:
1999
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
feedback stabilization
nonlinear systems
continuous systems
Lyapunov function
Opis:
This note is devoted to the problem of global stabilization of continuous systems by adding an integrator. The goal is to prove that if a continuous non-linear system dot x =f(x,u) is globally asymptotically stable at the origin for u equiv 0, then the augmented system obtained by adding an integrator is stabilizable by means of a continuous feedback.
Źródło:
International Journal of Applied Mathematics and Computer Science; 1999, 9, 4; 871-881
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
State estimation for miso non-linear systems in controller canonical form
Autorzy:
Schwaller, B.
Ensminger, D.
Dresp-Langley, B.
Ragot, J.
Powiązania:
https://bibliotekanauki.pl/articles/331350.pdf
Data publikacji:
2016
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
nonlinear system
state observer
continuous time
układ nieliniowy
obserwator stanu
układ ciągły
Opis:
We propose a new observer where the model, decomposed in generalized canonical form of regulation described by Fliess, is dissociated from the part assuring error correction. The obtained stable exact estimates give direct access to state variables in the form of successive derivatives. The dynamic response of the observer converges exponentially, as long as the nonlinearities are locally of Lipschitz type. In this case, we demonstrate that a quadratic Lyapunov function provides a number of inequalities which guarantee at least local stability. A synthesis of gains is proposed, independent of the observation time scale. Simulations of a Düffing system and a Lorenz strange attractor illustrate theoretical developments.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2016, 26, 3; 569-583
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
State estimation for a class of nonlinear systems
Autorzy:
Schwaller, B.
Ensminger, D.
Dresp-Langley, B.
Ragot, J.
Powiązania:
https://bibliotekanauki.pl/articles/330611.pdf
Data publikacji:
2013
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
nonlinear system
state observer
continuous time
układ nieliniowy
obserwator stanu
układ ciągły
Opis:
We propose a new type of Proportional Integral (PI) state observer for a class of nonlinear systems in continuous time which ensures an asymptotic stable convergence of the state estimates. Approximations of non-linearity are not necessary to obtain such results, but the functions must be, at least locally, of the Lipschitz type. The obtained state variables are exact and robust against noise. Naslin’s damping criterion permits synthesizing gains in an algebraically simple and efficient way. Both the speed and damping of the observer response are controlled in this way. Model simulations based on a Sprott strange attractor are discussed as an example.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2013, 23, 2; 383-394
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Controllability, Observability and Optimal Control of Continuous-Time 2-D Systems
Autorzy:
Jank, G.
Powiązania:
https://bibliotekanauki.pl/articles/907997.pdf
Data publikacji:
2002
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
informatyka
2-D continuous-time systems
controllability
observability
optimal control
quadratic cost
Opis:
We consider linear 2-D systems of Fornasini-Marchesini type in the continuous-time case with non-constant coefficients. Using an explicit representation of the solutions by utilizing the Riemann-kernel of the equation under consideration, we obtain controllability and observability criteria in the case of the inhomogeneous equation, where control is obtained by choosing the inhomogeneity appropriately, but also for the homogeneous equation, where control is obtained by steering with Goursat data. The optimal control problem with a quadratic cost functional is also solved.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2002, 12, 2; 181-195
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
A realization problem for positive continuous-time systems with reduced numbers of delays
Autorzy:
Kaczorek, T.
Powiązania:
https://bibliotekanauki.pl/articles/908389.pdf
Data publikacji:
2006
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
czas ciągły
opóźnienie
istnienie
obliczanie
positive realization
continuous-time system
delay
existence
computation
Opis:
A realization problem for positive, continuous-time linear systems with reduced numbers of delays in state and in control is formulated and solved. Sufficient conditions for the existence of positive realizations with reduced numbers of delays of a given proper transfer function are established. A procedure for the computation of positive realizations with reduced numbers of delays is presented and illustrated by an example.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2006, 16, 3; 325-331
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Advances in parallel heterogeneous genetic algorithms for continuous optimization
Autorzy:
Alba, E.
Luna, F.
Nebro, A. J.
Powiązania:
https://bibliotekanauki.pl/articles/907622.pdf
Data publikacji:
2004
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
algorytm genetyczny
optymalizacja ciągła
konwergencja przedwczesna
parallel genetic algorithms
continuous optimization
premature convergence
heterogeneity
Opis:
In this paper we address an extension of a very efficient genetic algorithm (GA) known as Hy3, a physical parallelization of the gradual distributed real-coded GA (GD-RCGA). This search model relies on a set of eight subpopulations residing in a cube topology having two faces for promoting exploration and exploitation. The resulting technique has been shown to yield very accurate results in continuous optimization by using crossover operators tuned to explore and exploit the solutions inside each subpopulation. We introduce here a further extension of Hy3, called Hy4, that uses 16 islands arranged in a hypercube of four dimensions. Thus, two new faces with different exploration/exploitation search capabilities are added to the search performed by Hy3. We analyze the importance of running a synchronous versus an asynchronous version of the models considered. The results indicate that the proposed Hy4 model overcomes the Hy3 performance because of its improved balance between exploration and exploitation that enhances the search. Finally, we also show that the async Hy4 model scales better than the sync one.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2004, 14, 3; 317-333
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Realization problem for a class of positive continuous-time systems with delays
Autorzy:
Kaczorek, T.
Powiązania:
https://bibliotekanauki.pl/articles/908444.pdf
Data publikacji:
2005
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
realizacja dodatnia
układ ciągły
opóźnienie
obliczanie
positive realization
continuous-time system
delay
existence
computation
Opis:
The realization problem for a class of positive, continuous-time linear SISO systems with one delay is formulated and solved. Sufficient conditions for the existence of positive realizations of a given proper transfer function are established. A procedure for the computation of positive minimal realizations is presented and illustrated by an example.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2005, 15, 4; 447-453
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
A Novel Continuous Model to Approximate Time Petri Nets: Modelling and Analysis
Autorzy:
Gu, T.
Dong, R.
Powiązania:
https://bibliotekanauki.pl/articles/908478.pdf
Data publikacji:
2005
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
sieć Petriego
system hybrydowy
system dyskretny
continuous Petri nets
hybrid systems
discrete event systems
Opis:
In order to approximate discrete-event systems in which there exist considerable states and events, David and Alla define a continuous Petri net (CPN). So far, CPNs have been a useful tool not only for approximating discrete-event systems but also for modelling continuous processes. Due to different ways of calculating instantaneous firing speeds of transitions, various continuous Petri net models, such as the CCPN (constant speed CPN), VCPN (variable speed CPN) and the ACPN (asymptotic CPN), have been proposed, where the continuous flow is specified uniquely by maximal firing speeds. However, in applications such as chemical processes there exist situations where the continuous flow must be above some minimal speed or in the range of minimal and maximal speeds. In this paper, from the point of view of approximating a time Petri net, the CPN is augmented with maximal and minimal firing speeds, and a novel continuous model, i.e., the Interval speed CPN (ICPN) is defined. The enabling and firing semantics of transitions of the ICPN are discussed, and the facilitating of continuous transitions is classified into three levels: 0-level, 1-level and 2-level. Some policies to resolve the conflicts and algorithms to undertake the behavioural analysis for the ICPN are developed. In addition, a chemical process example is presented.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2005, 15, 1; 141-150
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Positivity and linearization of a class of nonlinear continuous-time systems by state feedbacks
Autorzy:
Kaczorek, T.
Powiązania:
https://bibliotekanauki.pl/articles/329778.pdf
Data publikacji:
2015
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
positive
nonlinear
continuous-time system
linearization
state feedback
układ dodatni
układ ciągły
sprzężenie zwrotne
Opis:
The positivity and linearization of a class of nonlinear continuous-time system by nonlinear state feedbacks are addressed. Necessary and sufficient conditions for the positivity of the class of nonlinear systems are established. A method for linearization of nonlinear systems by nonlinear state feedbacks is presented. It is shown that by a suitable choice of the state feedback it is possible to obtain an asymptotically stable and controllable linear system, and if the closed-loop system is positive then it is unstable.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2015, 25, 4; 827-831
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Convergence analysis of piecewise continuous collocation methods for higher index integral algebraic equations of the Hessenberg type
Autorzy:
Shiri, B.
Shahmorad, S.
Hojjati, G.
Powiązania:
https://bibliotekanauki.pl/articles/330726.pdf
Data publikacji:
2013
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
piecewise continuous collocations methods
Volterra integral equations
integral algebraic equations
równania całkowe Volterry
równanie algebraiczne
Opis:
In this paper, we deal with a system of integral algebraic equations of the Hessenberg type. Using a new index definition, the existence and uniqueness of a solution to this system are studied. The well-known piecewise continuous collocation methods are used to solve this system numerically, and the convergence properties of the perturbed piecewise continuous collocation methods are investigated to obtain the order of convergence for the given numerical methods. Finally, some numerical experiments are provided to support the theoretical results.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2013, 23, 2; 341-355
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Scheduling preemptable jobs on identical processors under varying availability of an additional continuous resource
Autorzy:
Różycki, R.
Waligóra, G.
Węglarz, J.
Powiązania:
https://bibliotekanauki.pl/articles/330888.pdf
Data publikacji:
2016
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
machine scheduling
preemptable jobs
continuous resource
makespan
mathematical programming
szeregowanie zadań
zasób ciągły
programowanie matematyczne
Opis:
In this work we consider a problem of scheduling preemptable, independent jobs, characterized by the fact that their processing speeds depend on the amounts of a continuous, renewable resource allocated to jobs at a time. Jobs are scheduled on parallel, identical machines, with the criterion of minimization of the schedule length. Since two categories of resources occur in the problem: discrete (set of machines) and continuous, it is generally called a discrete-continuous scheduling problem. The model studied in this paper allows the total available amount of the continuous resource to vary over time, which is a practically important generalization that has not been considered yet for discrete-continuous scheduling problems. For this model we give some properties of optimal schedules on a basis of which we propose a general methodology for solving the considered class of problems. The methodology uses a two-phase approach in which, firstly, an assignment of machines to jobs is defined and, secondly, for this assignment an optimal continuous resource allocation is found by solving an appropriate mathematical programming problem. In the approach various cases are considered, following from assumptions made on the form of the processing speed functions of jobs. For each case an iterative algorithm is designed, leading to an optimal solution in a finite number of steps.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2016, 26, 3; 693-706
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Computer methods for stability analysis of the Roesser type model of 2D continuous-discrete linear systems
Autorzy:
Busłowicz, M.
Ruszewski, A.
Powiązania:
https://bibliotekanauki.pl/articles/331316.pdf
Data publikacji:
2012
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
układ ciągło-dyskretny
system hybrydowy
metoda komputerowa
continuous-discrete system
hybrid system
stability
computer methods
Opis:
Asymptotic stability of models of 2D continuous-discrete linear systems is considered. Computer methods for investigation of the asymptotic stability of the Roesser type model are given. The methods require computation of eigenvalue-loci of complex matrices or evaluation of complex functions. The effectiveness of the stability tests is demonstrated on numerical examples.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2012, 22, 2; 401-408
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Minimum energy control of positive continuous-time linear systems with bounded inputs
Autorzy:
Kaczorek, T.
Powiązania:
https://bibliotekanauki.pl/articles/329898.pdf
Data publikacji:
2013
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
positive system
continuous time
minimum energy control
bounded inputs
system dodatni
układ ciągły
sterowanie energooszczędne
Opis:
The minimum energy control problem for positive continuous-time linear systems with bounded inputs is formulated and solved. Sufficient conditions for the existence of a solution to the problem are established. A procedure for solving the problem is proposed and illustrated with a numerical example.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2013, 23, 4; 725-730
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Identification of Low-Order Continuous-Time Models Via Discrete-Time Trends of Measurements
Autorzy:
Janiszowski, K. B.
Powiązania:
https://bibliotekanauki.pl/articles/908268.pdf
Data publikacji:
1999
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
czas ciągły
funkcja przenoszenia
model dyskretny
identyfikacja
continuous time
transfer function
discrete-time model
identification
Opis:
The paper deals with the problem of continuous-time (CT) identification of parameters in transfer functions for low-order linear systems, based on recorded discrete-time (DT) data. Algorithms for direct estimation of CT parameters are developed from rules for transformation of a CT transferfunction controlled via a zero-order sampling-and-hold unit into a DT representation.Two schemes are derived and tested: the first is based on the Goodwin transformation and the other is derived from the modified Tustin transformation. Both the approaches result in relations which can be used for direct estimationof CT parameters in a model of the investigated system. The numerical schemes contain some expressions that are reminiscent of DT differences and consequently they may magnify disturbances. Therefore the results of extensively testing both the schemes including different types of disturbances, measurement noise, slow varying drifts, measurement resolution errors together with changes in the sampling time are presented. A model of a pneumatic servomechanism system was used as a test plant.
Źródło:
International Journal of Applied Mathematics and Computer Science; 1999, 9, 4; 839-853
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
New stability conditions for positive continuous-discrete 2D linear systems
Autorzy:
Kaczorek, T.
Powiązania:
https://bibliotekanauki.pl/articles/907592.pdf
Data publikacji:
2011
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
system dodatni
system liniowy
układ ciągło-dyskretny
positive systems
2D linear system
continuous-discrete systems
Opis:
New necessary and sufficient conditions for asymptotic stability of positive continuous-discrete 2D linear systems are established. Necessary conditions for the stability are also given. The stability tests are demonstrated on numerical examples.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2011, 21, 3; 521-524
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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