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Wyszukujesz frazę "State system" wg kryterium: Temat


Tytuł:
Sturm-Liouville Systems Are Riesz-Spectral Systems
Autorzy:
Delattre, C.
Dochain, D.
Winkin, J.
Powiązania:
https://bibliotekanauki.pl/articles/908100.pdf
Data publikacji:
2003
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
matematyka
Sturm-Liouville system
Riesz-spectral system
infinite-dimensional state-space system
Co-semigroup
Opis:
The class of Sturm-Liouville systems is defined. It appears to be a subclass of Riesz-spectral systems, since it is shown that the negative of a Sturm-Liouville operator is a Riesz-spectral operator on L2(a,b) and the infinitesimal generator of a C0-semigroup of bounded linear operators.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2003, 13, 4; 481-484
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Zeros in linear systems with time delay in state
Autorzy:
Tokarzewski, J.
Powiązania:
https://bibliotekanauki.pl/articles/929955.pdf
Data publikacji:
2009
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
system liniowy
opóźnienie czasowe
opóźnienie w stanie
zera niezmienne
linear system
time delay in state
state-space methods
output-zeroing problem
invariant zeros
Opis:
The concept of invariant zeros in a linear time-invariant system with state delay is considered. In the state-space framework, invariant zeros are treated as triples: complex number, nonzero state-zero direction, input-zero direction. Such a treatment is strictly related to the output-zeroing problem and in that spirit the zeros can be easily interpreted. The problem of zeroing the system output is discussed. For systems of uniform rank, the first nonzero Markov parameter comprises a certain amount of information concerning invariant zeros, output-zeroing inputs and zero dynamics. General formulas for output-zeroing inputs and zero dynamics are provided.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2009, 19, 4; 609-617
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:
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:
An adaptive identification method based on the modulating functions technique and exact state observers for modeling and simulation of a nonlinear MISO glass melting process
Autorzy:
Byrski, Witold
Drapała, Michał
Byrski, Jędrzej
Powiązania:
https://bibliotekanauki.pl/articles/907805.pdf
Data publikacji:
2019
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
continuous system
modulating functions
system identification
exact state observer
glass forehearths
układ ciągły
identyfikacja systemu
dokładny obserwator stanu
Opis:
The paper presents new concepts of the identification method based on modulating functions and exact state observers with its application for identification of a real continuous-time industrial process. The method enables transformation of a system of differential equations into an algebraic one with the same parameters. Then, these parameters can be estimated using the least-squares approach. The main problem is the nonlinearity of the MISO process and its noticeable transport delays. It requires specific modifications to be introduced into the basic identification algorithm. The main goal of the method is to obtain on-line a temporary linear model of the process around the selected operating point, because fast methods for tuning PID controller parameters for such a model are well known. Hence, a special adaptive identification approach with a moving window is proposed, which involves using on-line registered input and output process data. An optimal identification method for a MISO model assuming decomposition to many inner SISO systems is presented. Additionally, a special version of the modulating functions method, in which both model parameters and unknown delays are identified, is tested on real data sets collected from a glass melting installation.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2019, 29, 4; 739-757
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Observability and controllability analysis for sandwich systems with backlash
Autorzy:
Luo, N.
Tan, Y.
Dong, R.
Powiązania:
https://bibliotekanauki.pl/articles/330501.pdf
Data publikacji:
2015
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
backlash
sandwich system
non smooth system
state space equation
observability
controllability
luz mechaniczny
układ warstwowy
równanie stanu
obserwowalność
sterowalność
Opis:
In this paper, an approach to analyze the observability and controllability of sandwich systems with backlash is proposed. In this method, a non-smooth state-space function is used to describe the sandwich systems with backlash which are also non-smooth non-linear systems. Then, a linearization method based on non-smooth optimization is proposed to derive a linearized state-space function to approximate the non-smooth sandwich systems within a bounded region around the equilibrium point that we are interested in. Afterwards, both observability and controllability matrices are constructed and the methods to analyze the observability as well as controllability of sandwich system with backlash are derived. Finally, numerical examples are presented to validate the proposed method.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2015, 25, 4; 803-814
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Hybrid stabilization of discrete-time LTI systems with two quantized signals
Autorzy:
Zhai, G.
Matsumoto, Y.
Chen, X.
Imae, J.
Kobayashi, T.
Powiązania:
https://bibliotekanauki.pl/articles/908451.pdf
Data publikacji:
2005
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
system czasu dyskretnego
strategia stabilizacji
kwantyzator
sprzężenie zwrotne
discrete-time LTI system
hybrid stabilization strategy
quantizer
state feedback
output feedback
Opis:
We consider stabilizing a discrete-time LTI (linear time-invariant) system via state feedback where both the quantized state and control input signals are involved. The system under consideration is stabilizable and stabilizing state feedback has been designed without considering quantization, but the system’s stability is not guaranteed due to the quantization effect. For this reason, we propose a hybrid quantized state feedback strategy asymptotically stabilizing the system, where the values of the quantizer parameters are updated at discrete time instants. We also extend the result to the case of static output feedback.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2005, 15, 4; 509-516
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:
Asynchronous distributed state estimation for continuous-time stochastic processes
Autorzy:
Kowalczuk, Z.
Domżalski, M.
Powiązania:
https://bibliotekanauki.pl/articles/331193.pdf
Data publikacji:
2013
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
continuous time
stochastic processes
distributed system
state estimation
Kalman filtering
układ ciągły
układ stochastyczny
system rozproszony
estymacja stanu
filtracja Kalmana
Opis:
The problem of state estimation of a continuous-time stochastic process using an Asynchronous Distributed multi-sensor Estimation (ADE) system is considered. The state of a process of interest is estimated by a group of local estimators constituting the proposed ADE system. Each estimator is based, e.g., on a Kalman filter and performs single sensor filtration and fusion of its local results with the results from other/remote processors to compute possibly the best state estimates. In performing data fusion, however, two important issues need to be addressed namely, the problem of asynchronism of local processors and the issue of unknown correlation between asynchronous data in local processors. Both the problems, along with their solutions, are investigated in this paper. Possible applications and effectiveness of the proposed ADE approach are illustrated by simulated experiments, including a non-complete connection graph of such a distributed estimation system.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2013, 23, 2; 327-339
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Similarity transformation of matrices to one common canonical form and its applications to 2D linear systems
Autorzy:
Kaczorek, T.
Powiązania:
https://bibliotekanauki.pl/articles/929586.pdf
Data publikacji:
2010
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
postać kanoniczna
podobieństwo
stan sprzężenia zwrotnego
system 2D
common canonical form
similarity transformation
2D linear system
state feedback
Opis:
The notion of a common canonical form for a sequence of square matrices is introduced. Necessary and sufficient conditions for the existence of a similarity transformation reducing the sequence of matrices to the common canonical form are established. It is shown that (i) using a suitable state vector linear transformation it is possible to decompose a linear 2D system into two linear 2D subsystems such that the dynamics of the second subsystem are independent of those of the first one, (ii) the reduced 2D system is positive if and only if the linear transformation matrix is monomial. Necessary and sufficient conditions are established for the existence of a gain matrix such that the matrices of the closed-loop system can be reduced to the common canonical form.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2010, 20, 3; 507-512
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Novel optimal recursive filter for state and fault estimation of linear stochastic systems with unknown disturbances
Autorzy:
Khémiri, K.
Ben Hmida, F.
Ragot, J.
Gossa, M.
Powiązania:
https://bibliotekanauki.pl/articles/930170.pdf
Data publikacji:
2011
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
filtracja Kalmana
estymacja stanu
zakłócenie nieznane
system liniowy
system dyskretno-czasowy
Kalman filtering
minimum variance estimation
state estimation
fault estimation
unknown disturbances
linear discrete time systems
Opis:
This paper studies recursive optimal filtering as well as robust fault and state estimation for linear stochastic systems with unknown disturbances. It proposes a new recursive optimal filter structure with transformation of the original system. This transformation is based on the singular value decomposition of the direct feedthrough matrix distribution of the fault which is assumed to be of arbitrary rank. The resulting filter is optimal in the sense of the unbiased minimum-variance criteria. Two numerical examples are given in order to illustrate the proposed method, in particular to solve the estimation of the simultaneous actuator and sensor fault problem and to make a comparison with the existing literature results.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2011, 21, 4; 629-637
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Analysis of safeness in a Petri net-based specification of the control part of cyber-physical systems
Autorzy:
Wojnakowski, Marcin
Wiśniewski, Remigiusz
Bazydło, Grzegorz
Popławski, Mateusz
Powiązania:
https://bibliotekanauki.pl/articles/2055147.pdf
Data publikacji:
2021
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
safeness
control part
cyber physical system
Petri net
state machine cover
place invariant
bezpieczeństwo baz danych
część kontrolna
system cyberfizyczny
sieć Petriego
maszyna stanów
niezmiennik miejsca
Opis:
The paper proposes an algorithm for safeness verification of a Petri net-based specification of the control part of cyber-physical systems. The method involves a linear algebra technique and is based on the computation of the state machine cover of a Petri net. Contrary to the well-known methods, the presented idea does not require obtaining all sequential components, nor the computation of all reachable states in the system. The efficiency and effectiveness of the proposed method have been verified experimentally with a set of 243 test modules (Petri net-based systems). The results of experiments show high efficiency of the proposed method since a solution has been found even for such nets where popular techniques are not able to analyze the safeness of the system. Finally, the presented algorithm is explained in detail using a real-life case-study example of the control part of a cyber-physical system.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2021, 31, 4; 647--657
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Controllability and observability of linear discrete-time fractional-order systems
Autorzy:
Guermah, S.
Djennoune, S.
Bettayeb, M.
Powiązania:
https://bibliotekanauki.pl/articles/907951.pdf
Data publikacji:
2008
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
modelowanie systemu
osiągalność
gramian sterowalności
gramian obserwowalności
system modeling
discrete fractional state-space systems
reachability
controllability and observability gramians
Opis:
In this paper we extend some basic results on the controllability and observability of linear discrete-time fractional-order systems. For both of these fundamental structural properties we establish some new concepts inherent to fractional-order systems and we develop new analytical methods for checking these properties. Numerical examples are presented to illustrate the theoretical results.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2008, 18, 2; 213-222
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Distributed fault estimation of multi-agent systems using a proportional-integral observer: A leader-following application
Autorzy:
Farrera, Beltrán
López-Estrada, Francisco-Ronay
Chadli, Mohammed
Valencia-Palomo, Guillermo
Gómez-Peñate, Samuel
Powiązania:
https://bibliotekanauki.pl/articles/330554.pdf
Data publikacji:
2020
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
multiagent systems
fault estimation
state observer
fault observer
linear matrix inequalities
system wieloagentowy
estymacja błędu
obserwator stanu
liniowe nierówności macierzowe
Opis:
This paper proposes a methodology for observer-based fault estimation of leader-following linear multi-agent systems subject to actuator faults. First, a proportional-integral distributed fault estimation observer is developed to estimate both actuator faults and states of each follower agent by considering directed and undirected graph topologies. Second, based on the proposed quadratic Lyapunov equation, sufficient conditions for the asymptotic convergence of the observer are obtained as a set of linear matrix inequalities. Finally, a numerical example is provided to illustrate the proposed approach.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2020, 30, 3; 551-560
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Design of the state predictive model following control system with time-delay
Autorzy:
Wang, D.
Wu, S.
Okubo, S.
Powiązania:
https://bibliotekanauki.pl/articles/907660.pdf
Data publikacji:
2009
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
sterowanie predykcyjne
opóźnienie
kontrola przeciążeń
state predictive control
time delay
model following control system (MFCS)
TCP/AQM network
congestion control
Opis:
Time-delay systems exist in many engineering fields such as transportation systems, communication systems, process engineering and, more recently, networked control systems. It usually results in unsatisfactory performance and is frequently a source of instability, so the control of time-delay systems is practically important. In this paper, a design of the state predictive model following control system (PMFCS) with time-delay is discussed. The bounded property of the internal states for the control is given, and the utility of this control design is guaranteed. Finally, examples are given to illustrate the effectiveness of the proposed method, and state predictive control techniques are applied to congestion control synthesis problems for a TCP/AQM network.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2009, 19, 2; 247-254
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł

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