Temat: 2D systems - Prolib Integro

Skocz do pozycji: 1.

Tytuł:: Controllability of Nonlinear Discrete Systems
Autorzy:: Klamka, J.
Tematy:: system nieliniowy
nonlinear systems
discrete systems
2D systems
controllability
nonlinear covering operators; Pokaż więcej
Wydawca:: Uniwersytet Zielonogórski. Oficyna Wydawnicza
Powiązania:: https://bibliotekanauki.pl/articles/907994.pdf Link otwiera się w nowym oknie
Opis:: Local constrained controllability problems for nonlinear finite-dimensional discrete 1-D and 2-D control systems with constant coefficients are formulated and discussed. Using some mapping theorems taken from nonlinear functional analysis and linear approximation methods, sufficient conditions for constrained controllability in bounded domains are derived and proved. The paper extends the controllability conditions with unconstrained controls given in the literature to cover both 1-D and 2-D nonlinear discrete systems with constrained controls.
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 2.

Tytuł:: Positivity and stabilization of 2D linear systems
Autorzy:: Kaczorek, Tadeusz
Tematy:: linear 2D systems
general model
positivity
stabilization
state-feedback; Pokaż więcej
Wydawca:: Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Powiązania:: https://bibliotekanauki.pl/articles/729394.pdf Link otwiera się w nowym oknie
Opis:: The problem of finding a gain matrix of the state-feedback of 2D linear system such that the closed-loop system is positive and asymptotically stable is formulated and solved. Necessary and sufficient conditions for the solvability of the problem are established. It is shown that the problem can be reduced to suitable linear programming problem. The proposed approach can be extended to 2D linear system described by the 2D Roesser model.
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 3.

Tytuł:: An Application of the Fourier Transform to Optimization of Continuous 2-D Systems
Autorzy:: Dymkou, V.
Dymkov, M.
Tematy:: informatyka
2D systems
optimization
entire functions
Fourier transform
approximation; Pokaż więcej
Wydawca:: Uniwersytet Zielonogórski. Oficyna Wydawnicza
Powiązania:: https://bibliotekanauki.pl/articles/908254.pdf Link otwiera się w nowym oknie
Opis:: This paper uses the theory of entire functions to study the linear quadratic optimization problem for a class of continuous 2D systems. We show that in some cases optimal control can be given by an analytical formula. A simple method is also proposed to find an approximate solution with preassigned accuracy. Some application to the 1D optimization problem is presented, too. The obtained results form a theoretical background for the design problem of optimal controllers for relevant processes.
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 4.

Tytuł:: Independence of asymptotic stability of positive 2D linear systems with delays of their delays
Autorzy:: Kaczorek, T.
Tematy:: system 2D
stabilność asymptotyczna
system dodatni
opóźnienie
2D systems
systems with delays
asymptotic stability
positive systems; Pokaż więcej
Wydawca:: Uniwersytet Zielonogórski. Oficyna Wydawnicza
Powiązania:: https://bibliotekanauki.pl/articles/907661.pdf Link otwiera się w nowym oknie
Opis:: It is shown that the asymptotic stability of positive 2D linear systems with delays is independent of the number and values of the delays and it depends only on the sum of the system matrices, and that the checking of the asymptotic stability of positive 2D linear systems with delays can be reduced to testing that of the corresponding positive 1D systems without delays. The effectiveness of the proposed approaches is demonstrated on numerical examples.
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 5.

Tytuł:: On the Interaction Between Theory, Experiments, and Simulation in Developing Practical Learning Control Algorithms
Autorzy:: Longman, R. W.
Tematy:: automatyka
robotyka
iterative learning control
ILC
2D systems
learning transients; Pokaż więcej
Wydawca:: Uniwersytet Zielonogórski. Oficyna Wydawnicza
Powiązania:: https://bibliotekanauki.pl/articles/908249.pdf Link otwiera się w nowym oknie
Opis:: Iterative learning control (ILC) develops controllers that iteratively adjust the command to a feedback control system in order to converge to zero tracking error following a specific desired trajectory. Unlike optimal control and other control methods, the iterations are made using the real world in place of a computer model. If desired, the learning process can be conducted both in the time domain during each iteration and in repetitions, making ILC a 2D system. Because ILC iterates with the real world, and aims for zero error, the field pushes the limits of theory, modeling, and simulation, to predict the behavior when applied in the real world. It is the thesis of this paper that in order to make significant progress in this field it is essential that the research effort employ a coordinated simultaneous synergistic effort involving theory, experiments, and serious simulations. Otherwise, one very easily expends effort on something that seems fundamental from the theoretical perspective, but in fact has very little relevance to the performance in real world applications.
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 6.

Tytuł:: Positivity and stabilization of fractional 2D linear systems described by the Roesser model
Autorzy:: Kaczorek, T.
Rogowski, K.
Tematy:: dodatniość
stabilizacja
system ułamkowy
model Roessera
system 2D
positivity
stabilization
fractional systems
Roesser model
2D systems; Pokaż więcej
Wydawca:: Uniwersytet Zielonogórski. Oficyna Wydawnicza
Powiązania:: https://bibliotekanauki.pl/articles/907776.pdf Link otwiera się w nowym oknie
Opis:: A new class of fractional 2D linear discrete-time systems is introduced. The fractional difference definition is applied to each dimension of a 2D Roesser model. Solutions of these systems are derived using a 2D Z-transform. The classical Cayley-Hamilton theorem is extended to 2D fractional systems described by the Roesser model. Necessary and sufficient conditions for the positivity and stabilization by the state-feedback of fractional 2D linear systems are established. A procedure for the computation of a gain matrix is proposed and illustrated by a numerical example.
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 7.

Tytuł:: Parameter estimation of MIMO two-dimensional ARMAX model based on IGLS method
Autorzy:: Hayati, Zohreh
Shafieirad, Mohsen
Zamani, Iman
Amiri Mehra, Amir Hossein
Abbasi, Zohreh
Tematy:: ARMAX model
discrete 2D systems
iterative identification
MIMO system
parameter estimation; Pokaż więcej
Wydawca:: Polska Akademia Nauk. Instytut Badań Systemowych PAN
Powiązania:: https://bibliotekanauki.pl/articles/2183469.pdf Link otwiera się w nowym oknie
Opis:: This paper presents an iterative method for the unbiased identification of linearMultiple-InputMultiple-Output (MIMO) discrete two-dimensional (2D) systems. The system discussed here has Auto-Regressive Moving-Average model with exogenous inputs (ARMAX model). The proposed algorithm functions on the basis of the traditional Iterative Generalized Least Squares (IGLS) method. In summary, this paper proposes a two-dimensional Multiple-Input Multiple-Output Iterative Generalized Least Squares (2DMIGLS) algorithm to estimate the unknown parameters of the ARMAX model. Finally, simulation results show the efficiency and accuracy of the presented algorithm in estimating the unknown parameters of the model in the presence of colored noise.
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 8.

Tytuł:: Robust stabilization of discrete linear repetitive processes with switched dynamics
Autorzy:: Bochniak, J.
Gałkowski, K.
Rogers, E.
Kummert, A.
Tematy:: proces powtarzalny
system 2D
stabilizacja
niepewność
repetitive processes
2D systems
switched dynamics
stabilization
uncertainty; Pokaż więcej
Wydawca:: Uniwersytet Zielonogórski. Oficyna Wydawnicza
Powiązania:: https://bibliotekanauki.pl/articles/908381.pdf Link otwiera się w nowym oknie
Opis:: Repetitive processes constitute a distinct class of 2D systems, i.e., systems characterized by information propagation in two independent directions, which are interesting in both theory and applications. They cannot be controlled by a direct extension of the existing techniques from either standard (termed 1D here) or 2D systems theories. Here we give new results on the design of physically based control laws. These results are for a sub-class of discrete linear repetitive processes with switched dynamics in both independent directions of information propagation.
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 9.

Tytuł:: Względna obserwowalność dodatnich układów ciągło-dyskretnych
Relative observability of positive continuous-discrete time systems
Autorzy:: Trzasko, W.
Tematy:: 2W układy ciągło-dyskretne (hybrydowe)
układy dodatnie
obserwowalność
continuous-discrete 2D systems (hybrid)
positive systems
observability; Pokaż więcej
Wydawca:: Stowarzyszenie Inżynierów i Techników Mechaników Polskich
Powiązania:: https://bibliotekanauki.pl/articles/972178.pdf Link otwiera się w nowym oknie
Opis:: W pracy rozpatrzono problem obserwowalności dodatnich liniowych dwuwymiarowych układów ciągło-dyskretnych. Sformułowano definicje oraz podano warunki konieczne i wystarczające obserwowalności oraz względnej obserwowalności. Podano też metodę wyznaczania nieujemnego stanu początkowego dla dowolnej zadanej odpowiedzi układu. Rozważania zilustrowano przykładem.
In the paper the observability problem for linear 2D positive continuous-discrete time systems described by the differential-difference state equations (formulas (1a) and (1b)) and output equation (1c) with boundary conditions (3) is considered. It should be noted that such a model is called a hybrid system in literature [1, 3, 4]. A 2D hybrid system is a dynamic system that includes both continuous- and discrete-time dynamics. It means that the 2D hybrid system state vector contains continuous-time and discrete-time state variables; its input and output vectors depend on continuous time t and discrete step i. The results presented in this work are based on solving the state equations (formula (4)) given in [1]. For simplicity it is assumed that the vector x2(t):=x2 of boundary conditions (3) is constant in the whole interval The definition and necessary and sufficient conditions for the continuous -discrete system positivity are formulated. There is also introduced the definition of observability at the point and a simple condition of observability (Theorem 3) is given. Moreover, based on the left-inverse of the observability matrix (the formula (16)), a simple method for computing the initial state (10) when assuming the knowledge of the output sequence (15) at the points is proposed. In Section 4 the relative observability with respect to state at the point is investigated. This is the special case of observability, but more useful in practice. The considerations are illustrated by a numerical example. Numerical calculations were performed in the Matlab program environment.
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 10.

Tytuł:: Minimal order deadbeat functional observers for singular 2D linear systems
Autorzy:: Kaczorek, T.
Tematy:: obserwatory
obserwator funkcjonalny
system liniowy singularny
system 2D
observers
minimal order observers
functional observers
singular linear systems
2D systems; Pokaż więcej
Wydawca:: Polska Akademia Nauk. Instytut Badań Systemowych PAN
Powiązania:: https://bibliotekanauki.pl/articles/206246.pdf Link otwiera się w nowym oknie
Opis:: Sufficient conditions for the existence of minimal order deadbeat functional observers for singular 2D linear systems described by the general singular 2D model are established. A procedure for computing matrices of the functional observers is given and illustrated by numerical example.
Dostawca treści:: Biblioteka Nauki

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