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Tytuł:
Minimax decisions in some problems of control with many sources of disturbances
Autorzy:
Grzybowski, Andrzej
Powiązania:
https://bibliotekanauki.pl/articles/747681.pdf
Data publikacji:
1989
Wydawca:
Polskie Towarzystwo Matematyczne
Tematy:
Optimal stochastic control
Discrete-time systems
Opis:
.
In the paper, a stochastic system with many sources of disturbances is considered. These disturbances have distributions belonging to the exponential family with some unknown parameters. Moreover, it is assumed that a control is disturbed too. A horizon of control is a random variable with a known distribution. Under some additional assumptions the problem of Bayes and minimax control of such system is solved.
Źródło:
Mathematica Applicanda; 1989, 17, 31
1730-2668
2299-4009
Pojawia się w:
Mathematica Applicanda
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Computation of positive realizations for descriptor linear discrete-time systems
Autorzy:
Kaczorek, T.
Powiązania:
https://bibliotekanauki.pl/articles/116668.pdf
Data publikacji:
2019
Wydawca:
Uniwersytet Morski w Gdyni. Wydział Nawigacyjny
Tematy:
algorithm
computation
computation of positive realizations
descriptor lnear discrete-time systems
linear discrete-time systems
Discrete-time Systems
transfer matrices
method for determination of positive realizations
Opis:
A new method for computation of positive realizations of given transfer matrices of descriptor linear discrete‐time linear systems is proposed. Necessary and sufficient conditions for the existence of positive realizations of transfer matrices are given. A procedure for computation of the positive realizations for descriptor discrete‐time linear systems is proposed and illustrated by examples.
Źródło:
TransNav : International Journal on Marine Navigation and Safety of Sea Transportation; 2019, 13, 3; 545-551
2083-6473
2083-6481
Pojawia się w:
TransNav : International Journal on Marine Navigation and Safety of Sea Transportation
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Regular design equations for the discrete reduced-order Kalman filter
Autorzy:
Hippe, P.
Powiązania:
https://bibliotekanauki.pl/articles/229814.pdf
Data publikacji:
2012
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
optimal estimation
polynomials
multivariable systems
discrete-time systems
Opis:
In the presence of white Gaussian noises at the input and the output of a system Kalman filters provide a minimum-variance state estimate. When part of the measurements can be regarded as noise-free, the order of the filter is reduced. The filter design can be carried out both in the time domain and in the frequency domain. In the case of full-order filters all measurements are corrupted by noise and therefore the design equations are regular. In the presence of noise-free measurements, however, they are not regular so that standard software cannot readily be applied in a time-domain design. In the frequency domain the spectral factorization of the non-regular polynomial matrix equation causes no problems. However, the known proof of optimality of the factorization result requires a regular measurement covariance matrix. This paper presents regular (reduced-order) design equations for the reduced-order discrete-time Kalman filter in the time and in the frequency domains so that standard software is applicable. They also allow to formulate the conditions for the stability of the filter and to prove the optimality of the existing solutions.
Źródło:
Archives of Control Sciences; 2012, 22, 2; 161-174
1230-2384
Pojawia się w:
Archives of Control Sciences
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Local Controllability of Fractional Discrete-Time Semilinear Systems
Autorzy:
Klamka, J.
Powiązania:
https://bibliotekanauki.pl/articles/387282.pdf
Data publikacji:
2011
Wydawca:
Politechnika Białostocka. Oficyna Wydawnicza Politechniki Białostockiej
Tematy:
sterowanie
możliwość kontroli
discrete-time systems
controllability
Opis:
In the paper unconstrained local controllability problem of finite-dimensional fractional discrete-time semilinear systems with constant coefficients is addressed. Using general formula of solution of difference state equation sufficient condition for local unconstrained controllability in a given number of steps is formulated and proved. Simple illustrative example is also presented.
Źródło:
Acta Mechanica et Automatica; 2011, 5, 2; 55-58
1898-4088
2300-5319
Pojawia się w:
Acta Mechanica et Automatica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Positive fractional linear systems
Dodatnie układy liniowe niecałkowitego rzędu
Autorzy:
Kaczorek, T.
Powiązania:
https://bibliotekanauki.pl/articles/277019.pdf
Data publikacji:
2011
Wydawca:
Sieć Badawcza Łukasiewicz - Przemysłowy Instytut Automatyki i Pomiarów
Tematy:
układy liniowe
układy dyskretne
linear systems
discrete-time systems
Opis:
An overview of some recent published and unpublished results on positive fractional continuous-time and discrete-time linear systems is given. The first part of the paper is devoted to the positive continuous-time fractional systems. For those systems the solutions to the fractional state equations are proposed. Necessary and sufficient conditions for the positivity, reachability and stability are established. In the second part similar problems are considered for positive discrete-time fractional systems.
W pracy dokonano syntetycznego przeglądu nowych publikowanych i niepublikowanych wyników dotyczących dodatnich ciągłych i dyskretnych układów liniowych niecałkowitego rzędu. W części pierwszej poświęconej układom ciągłym podano rozwiązanie układu równań stanu, warunki konieczne i wystarczające dodatniości, osiągalności i stabilności układów dodatnich. W części drugiej przedstawiono podobne wyniki dla układów dyskretnych.
Źródło:
Pomiary Automatyka Robotyka; 2011, 15, 2; 91-112
1427-9126
Pojawia się w:
Pomiary Automatyka Robotyka
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Nonlinear optimal control problem with constraints for general 2-D systems
Autorzy:
Biły, Barbara
Powiązania:
https://bibliotekanauki.pl/articles/747365.pdf
Data publikacji:
1993
Wydawca:
Polskie Towarzystwo Matematyczne
Tematy:
Problems involving ordinary differential equations
Discrete-time systems
Opis:
W pracy rozpatruje się zadanie sterowania optymalnego dla modelu 2-D przy nieliniowym wskaźniku jakości, przy ograniczeniach na wektory stanu i sterowania. W oparciu o Twierdzenie Podstawowe programowania matematycznego formułuje się warunki konieczne dla tego zadania. Idee zawarte w tej pracy wykorzystywane już były w artykułach [1], [3] przy nieco innych modelach i bez warunków ograniczających.
In this paper a optimal, nonlinear problem for general two-dimensional, stationary, discrete systems is presented. The state and control vectors are subject to restrictions in this optimal problem. Using a method of transformation for the system and the performance index, the problem of finding the optimal sequence of control vectors is solved by a method of ma-thematical programming. The necessary conditions are formulated. The simple numerical example illustrates the presented method.
Źródło:
Mathematica Applicanda; 1993, 22, 36
1730-2668
2299-4009
Pojawia się w:
Mathematica Applicanda
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Relationships Between Two Definitions of Fading Memory for Discrete-Time Systems
Autorzy:
Borys, A.
Powiązania:
https://bibliotekanauki.pl/articles/226448.pdf
Data publikacji:
2015
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
discrete-time systems
time-invariant operators
fading memory property
Opis:
In this paper, we refer to two definitions of fading memory property, which were published in the literature, for discrete-time circuits and systems. One of these definitions relates to systems working with signals (sequences) defined for both the positive and negative integers, expanding from minus infinity to plus infinity. On the other hand, the second one refers to systems processing sequences defined only for nonnegative integers, that is starting at the discrete-time point equal to zero and expanding to plus infinity. We show here that the second definition follows from the first one. That is they are not independent. Moreover, we also show that if an operator describing a system possesses a fading memory according to the second definition, then its associated operator has this property, too, but in accordance with the first definition.
Źródło:
International Journal of Electronics and Telecommunications; 2015, 61, 4; Bibliogr. 8 poz.
2300-1933
Pojawia się w:
International Journal of Electronics and Telecommunications
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Fuzzy Predictive Control of Fractional-Order Nonlinear Discrete-Time Systems
Autorzy:
Domek, S.
Powiązania:
https://bibliotekanauki.pl/articles/387296.pdf
Data publikacji:
2011
Wydawca:
Politechnika Białostocka. Oficyna Wydawnicza Politechniki Białostockiej
Tematy:
model
sterowanie
system dyskretno-czasowy
discrete-time systems
control
Opis:
At the end of the 19th century Liouville and Riemann introduced the notion of a fractional-order derivative, and in the latter half of the 20th century the concept of the so-called Grünewald-Letnikov fractional-order discrete difference has been put forward. In the paper a predictive controller for MIMO fractional-order discrete-time systems is proposed, and then the concept is extended to nonlinear processes that can be modelled by Takagi-Sugeno fuzzy models. At first nonlinear and linear fractional-order discrete-time dynamical models are described. Then a generalized nonlinear fractional-order TS fuzzy model is defined, for which equations of a predictive controller are derived.
Źródło:
Acta Mechanica et Automatica; 2011, 5, 2; 23-26
1898-4088
2300-5319
Pojawia się w:
Acta Mechanica et Automatica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Positive continuous-discrete time linear systems with delays in state vector
Dodatnie liniowe układy ciągło-dyskretne z opóźnieniem w wektorze stanu
Autorzy:
Sajewski, Ł.
Powiązania:
https://bibliotekanauki.pl/articles/277385.pdf
Data publikacji:
2011
Wydawca:
Sieć Badawcza Łukasiewicz - Przemysłowy Instytut Automatyki i Pomiarów
Tematy:
dodatnie układy ciągło-dyskretne
positive continuous-discrete time systems
Opis:
A new class of positive continuous-discrete time linear systems with delays in state vector is addressed. Three state space model of this class of linear systems are considered. Necessary and sufficient conditions for the positivity of continuous-discrete time systems with delays in state vector are established. The proper transfer matrix of this class of linear systems is given.
Zaprezentowana zostanie nowa klasa dodatnich układów ciągło-dyskretnych z opóźnieniem w wektorze stanu. Rozpatrzone zostaną trzy modele opisujące tę klasę układów w przestrzeni stanu. Podane zostaną warunki konieczne i wystarczające dodatniości liniowych układów ciągło-dyskretnych z opóźnieniem w wektorze stanu. Podana zostanie postać operatorowej macierzy transmitancji właściwych rozpatrywanej klasy układów.
Źródło:
Pomiary Automatyka Robotyka; 2011, 15, 2; 522-527
1427-9126
Pojawia się w:
Pomiary Automatyka Robotyka
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Quasi-Sliding Mode Control of Discrete-Time Systems
Autorzy:
Bartoszewicz, A.
Powiązania:
https://bibliotekanauki.pl/articles/908266.pdf
Data publikacji:
1999
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
sterowanie
system dyskretny
sliding-mode control
discrete-time systems
Opis:
A reaching law approach to the design of discrete-time quasi-sliding mode control systems is considered. First the required position of the system representative point with reference to the sliding plane is specified, and then novel control strategies, which drive the system in such a way that the position actually changes according to the specification, are proposed. The strategies are linear and consequently the undesirable chattering and high-frequency switching between different values of the control signal are avoided. Furthermore, the state of the controlled system is driven to the narrowest possible band around the sliding plane. The strategies, when compared with previously published results, are simpler and they guarantee favourable performance of the controlled systems while using essentially reduced control effort.
Źródło:
International Journal of Applied Mathematics and Computer Science; 1999, 9, 4; 801-810
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Generalized feedback stability for periodic linear time-varying, discrete-time systems
Autorzy:
Orłowski, P.
Powiązania:
https://bibliotekanauki.pl/articles/201050.pdf
Data publikacji:
2012
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
discrete-time systems
time-varying systems
non-stationary systems
feedback stability
frequency analysis
Opis:
The paper proposes a novel method for feedback stability evaluation for linear time-varying, discrete-time control systems. It is assumed that the time-varying system can be described by the general discrete-time, time-varying state space model and by the equivalent linear input-output (transfer) operator. The method extends feedback stability concepts for systems given in a general linear time-varying, discrete-time form, not only in the Lurie form. In the paper selected short-time stability concepts are employed for inference about feedback stability of systems defined on an infinite time-horizon. Theoretical considerations are complemented by numerical examples.
Źródło:
Bulletin of the Polish Academy of Sciences. Technical Sciences; 2012, 60, 1; 171-178
0239-7528
Pojawia się w:
Bulletin of the Polish Academy of Sciences. Technical Sciences
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Motion control algorithm and tuning rules for mechanical devices with low sampling-rate electronics
Autorzy:
Gil, Jorge Juan
Diaz, Inaki
Powiązania:
https://bibliotekanauki.pl/articles/229549.pdf
Data publikacji:
2020
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
motion control
cascade control loops
discrete-time systems
stability
mechatronic systems
Opis:
Controlling mechanical systems with position and velocity cascade loops is one of the most effective methods to operate this type of systems. However, when using low-rate sampling electronics, the implementation is not trivial and the resulting performance can be poor. This paper proposes effective tuning rules that only require establishing the bandwidth of the inner velocity loop and an estimation of the inertia of the mechanism. Since discrete-time mechatronic systems can also exhibit unstable behavior, several stability conditions are also derived. By using the proposed methodology, a P-PI control algorithm is developed for a desktop haptic device, obtaining good experimental performance with low sampling-rate electronics.
Źródło:
Archives of Control Sciences; 2020, 30, 1; 123-138
1230-2384
Pojawia się w:
Archives of Control Sciences
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Reducibility condition for nonlinear discrete-time systems: behavioral approach
Autorzy:
Bartosiewicz, Z.
Kotta, U.
Pawłuszewicz, E.
Tonso, M.
Wyrwas, M.
Powiązania:
https://bibliotekanauki.pl/articles/206211.pdf
Data publikacji:
2013
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
nonlinear discrete-time systems reducibility
behavioral approach
left difference polynomials
Opis:
The paper addresses the problem of reducibility of nonlinear discrete-time systems, described by implicit higher order difference equations where no a priori distinction is made between input and output variables. The reducibility definition is based on the concept of autonomous element. We prove necessary reducibility condition, presented in terms of the left submodule, generated by the row matrix, describing the behavior of the linearized system, over the ring of left difference polynomials. Then the reducibility of the system implies the closedness of the submodule, like in the linear time-invariant case. In the special case, when the variables may be specified as inputs and outputs and the system equations are Niven in the explicit form, the results of this paper yield the known results.
Źródło:
Control and Cybernetics; 2013, 42, 2; 329-346
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Optimal control problem for Roesser systems
Autorzy:
Biły, Barbara
Powiązania:
https://bibliotekanauki.pl/articles/747892.pdf
Data publikacji:
1990
Wydawca:
Polskie Towarzystwo Matematyczne
Tematy:
Methods of nonlinear programming type
Computational methods
Discrete-time systems
Opis:
.
The quadratic performance index in a fixed rectangle for the Roesser model of two-dimensional, linear, stationary, discrete systems is considered. Using a method of transformation for the System and the performance index, the problem of finding the optimal sequence of control vectors is solved by a method of mathematical programming. The simple numerical example illustrates the presented method.
Źródło:
Mathematica Applicanda; 1990, 18, 32
1730-2668
2299-4009
Pojawia się w:
Mathematica Applicanda
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Comparison of approximation methods of positive stable continuous-time linear systems by positive stable discrete-time systems
Autorzy:
Kaczorek, T.
Powiązania:
https://bibliotekanauki.pl/articles/377291.pdf
Data publikacji:
2013
Wydawca:
Politechnika Poznańska. Wydawnictwo Politechniki Poznańskiej
Tematy:
continuous-time linear systems
discrete-time linear systems
Opis:
The positive asymptotically stable continuous-time linear systems are approximated by corresponding asymptotically stable discrete-time linear systems. Two methods of the approximation are presented and the comparison of the methods is addressed. The considerations are illustrated by three numerical examples and an example of positive electrical circuit.
Źródło:
Poznan University of Technology Academic Journals. Electrical Engineering; 2013, 73; 9-20
1897-0737
Pojawia się w:
Poznan University of Technology Academic Journals. Electrical Engineering
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Fixed final time and free final state optimal control problem for fractional dynamic systems – linear quadratic discrete-time case
Autorzy:
Dzieliński, A.
Czyronis, P. M.
Powiązania:
https://bibliotekanauki.pl/articles/201358.pdf
Data publikacji:
2013
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
fractional order systems
discrete-time systems
optimal control
linear quadratic performance index
Opis:
The optimization problem for fractional discrete-time systems with a quadratic performance index has been formulated and solved. The case of fixed final time and a free final state has been considered. A method for numerical computation of optimization problems has been presented. The presented method is a generalization of the well-known method for discrete-time systems of integer order. The efficiency of the method has been demonstrated on numerical examples and illustrated by graphs. Graphs also show the differences between the fractional and classical (standard) systems theory. Results for other cases of the fractional system order (coefficient ) and not illustrated with numerical examples have been obtained through a computer algorithm written for this purpose.
Źródło:
Bulletin of the Polish Academy of Sciences. Technical Sciences; 2013, 61, 3; 681-690
0239-7528
Pojawia się w:
Bulletin of the Polish Academy of Sciences. Technical Sciences
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Reduction and Decomposition of Singular Fractional Discrete-Time Linear Systems
Autorzy:
Kaczorek, T.
Powiązania:
https://bibliotekanauki.pl/articles/386227.pdf
Data publikacji:
2011
Wydawca:
Politechnika Białostocka. Oficyna Wydawnicza Politechniki Białostockiej
Tematy:
redukcja
system dyskretno-czasowy
system liniowy
reduction
discrete-time systems
linear systems
Opis:
Reduction of singular fractional systems to standard fractional systems and decomposition of singular fractional discrete-time linear systems into dynamic and static parts are addressed. It is shown that if the pencil of singular fractional linear discrete-time system is regular then the singular system can be reduced to standard one and it can be decomposed into dynamic and static parts The proposed procedures are based on modified version of the shuffle algorithm and illustrated by numerical examples.
Źródło:
Acta Mechanica et Automatica; 2011, 5, 4; 62-66
1898-4088
2300-5319
Pojawia się w:
Acta Mechanica et Automatica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Sufficient conditions for uniform global asymptotic stabilization of affine discrete-time systems with periodic coefficients
Autorzy:
Czornik, Adam
Makarov, Evgenii
Niezabitowski, Michał
Popova, Svetlana
Zaitsev, Vasilii
Powiązania:
https://bibliotekanauki.pl/articles/2083470.pdf
Data publikacji:
2021
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
discrete-time systems
periodic systems
affine systems
uniform global asymptotic stabilization
state feedback
Opis:
Affine discrete-time control periodic systems are considered. The problem of global asymptotic stabilization of the zero equilibrium of the closed-loop system by state feedback is studied. It is assumed that the free dynamic system has the Lyapunov stable zero equilibrium. The method for constructing a damping control is extended from time-invariant systems to time varying periodic affine discrete-time systems. By using this approach, sufficient conditions for uniform global asymptotic stabilization for those systems are obtained. Examples of using the obtained results are presented.
Źródło:
Archives of Control Sciences; 2021, 31, 1; 81-98
1230-2384
Pojawia się w:
Archives of Control Sciences
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Robust Flow Controllers for a Single Virtual Circuit in Data Transmission Networks with Lossy Links
Autorzy:
Bartoszewicz, A.
Leśniewski, P.
Powiązania:
https://bibliotekanauki.pl/articles/108780.pdf
Data publikacji:
2012
Wydawca:
Społeczna Akademia Nauk w Łodzi
Tematy:
data transmission networks
congestion control
sliding-mode control
discrete-time systems
Opis:
The paper concerns an application of regulation theory methods to modeling and effective control of connection-oriented data transmission networks. In particular the problem of congestion control in a single virtual circuit of such a network is considered and new discrete-time sliding mode data flow rate controllers are proposed. The controllers are designed in such a way that packet losses are explicitly accounted for. The closed-loop system stability and finitetime error convergence are proved. Moreover, a number of favorable properties of the proposed controllers are stated as theorems, formally proved and verified in a simulation example. It is demonstrated that the proposed controllers guarantee full utilization of the available bandwidth and eliminates the risk of bottleneck node buffer overflow. Application of time-varying sliding hyperplanes helps avoid excessive transmission rates at the beginning of the control process.
Źródło:
Journal of Applied Computer Science Methods; 2012, 4 No. 1; 5-20
1689-9636
Pojawia się w:
Journal of Applied Computer Science Methods
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Passivity-based optimal control of discrete-time nonlinear systems
Autorzy:
Binazadeh, T.
Shafiei, M. H.
Powiązania:
https://bibliotekanauki.pl/articles/205917.pdf
Data publikacji:
2013
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
nonlinear discrete-time systems optimal passivity-based control
genetic optimization algorithm
Opis:
In this paper, a passivity-based optimal controlmethod for a broad class of nonlinear discrete-time systems is proposed. The resulting control law is a static output feedback law which is practically preferred with respect to the state feedback law and is simple to implement. The control law has a general structure with adjustable parameters which are tuned, using an optimization method (genetic algorithm), to minimize an arbitrary cost function. By choosing this cost function it is possible to shape the transient response of the closed-loop system, as it is desirable. An illustrative ex ample shows the effectiveness of the proposed approach.
Źródło:
Control and Cybernetics; 2013, 42, 3; 627-637
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Obserwowalność układów dyskretnych niecałkowitego rzędu z opóźnieniem w wektorze stanu
Observability of discrete-time fractional order systems with state delay
Autorzy:
Kociszewski, R.
Powiązania:
https://bibliotekanauki.pl/articles/277383.pdf
Data publikacji:
2011
Wydawca:
Sieć Badawcza Łukasiewicz - Przemysłowy Instytut Automatyki i Pomiarów
Tematy:
dodatnie liniowe układów dyskretne
obserwowalność
positive linear discrete-time systems
observability
Opis:
W artykule rozpatrzono problem obserwowalności liniowych układów dyskretnych dodatnich oraz standardowych niecałkowitego rzędu z jednym opóźnieniem we współrzędnych stanu. Sformułowano definicje i kryteria obserwowalności oraz zaproponowano metodę obliczania stanu początkowego rozpatrywanej klasy układów. Główne kryteria sformułowano dla [...]-obserwowalności, będącej przypadkiem szczególnym obserwowalności.
In the paper the observability problem for the positive and the standard linear discrete-time fractional order system with one state delay is presented. Necessary and sufficient conditions for [...]-observability are formulated and proved. A simple method for computing the initial condition is proposed. Considerations are illustrated by numerical examples.
Źródło:
Pomiary Automatyka Robotyka; 2011, 15, 2; 512-521
1427-9126
Pojawia się w:
Pomiary Automatyka Robotyka
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Trackability and bounded output bounded input trackability of linear discrete-time systems
Autorzy:
Kurek, J.
Powiązania:
https://bibliotekanauki.pl/articles/206760.pdf
Data publikacji:
2002
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
sterowalność
system liniowy dyskretno-czasowy
controllability
linear discrete time systems
trackability
Opis:
The notions of systems trackability and bounded output bounded input (B0BI) trackability are given. Then, necessary and suffcient conditions are formulated for trackability of linear discrete-time systems.
Źródło:
Control and Cybernetics; 2002, 31, 1; 43-55
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Positivity and stability of fractional discrete-time linear systems. The model without a time shift in the difference
Autorzy:
Kaczorek, T.
Ostalczyk, P.
Powiązania:
https://bibliotekanauki.pl/articles/206611.pdf
Data publikacji:
2017
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
positivity
stability
fractional discrete-time linear systems
Opis:
The positivity and stability of fractional discretetime linear systems described by a new model are addressed. Necessary and sufficient conditions for the positivity and asymptotic stability of the systems are established. New tests for checking of the stability are proposed.
Źródło:
Control and Cybernetics; 2017, 46, 1; 27-36
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
An output sensitivity problem for a class of fractional order discrete-time linear systems
Autorzy:
Benfatah, Youssef
El-Bhih, Amine
Rachik, Mostafa
Lafif, Marouane
Powiązania:
https://bibliotekanauki.pl/articles/2106242.pdf
Data publikacji:
2021
Wydawca:
Politechnika Białostocka. Oficyna Wydawnicza Politechniki Białostockiej
Tematy:
fractional order systems
output sensitivity
discrete time systems
maximal output set admissible uncertainty
Opis:
Consider the linear discrete-time fractional order systems with uncertainty on the initial state {Δαxi+1=Axi+Bui, i≥0x0=τ0+τ̂0∈Rn, τ̂0∈Ωyi=Cxi, i≥0}, where A,B and C are appropriate matrices, x0 is the initial state, yi is the signal output, α the order of the derivative, τ0 and τ̂0 are the known and unknown part of x0, respectively, ui=Kxi is feedback control and Ω⊂Rn is a polytope convex of vertices w1,w2,...,wp. According to the Krein–Milman theorem, we suppose that τ̂0=Σ pj=1αjwj for some unknown coefficients α1≥0,...,αp≥0 such that Σ pj=1αj=1. In this paper, the fractional derivative is defined in the Grünwald–Letnikov sense. We investigate the charac-terisation of the set χ(τ̂0,ϵ) of all possible gain matrix K that makes the system insensitive to the unknown part τ̂0, which means χ(τ̂0,ϵ)={K∈Rm×n / ∥∂yi∂αj∥≤ϵ, ∀j=1,...,p,∀i≥0}, where the inequality ∥∂yi∂αj∥≤ϵ showing the sensitivity of yi relative-ly to uncertainties {αj}j=1p will not achieve the specified threshold ϵ>0. We establish, under certain hypothesis, the finite determination of χ(τ̂0,ϵ) and we propose an algorithmic approach to made explicit characterisation of such set.
Źródło:
Acta Mechanica et Automatica; 2021, 15, 4; 227--235
1898-4088
2300-5319
Pojawia się w:
Acta Mechanica et Automatica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
A reliable synthesis of discrete-time Η∞ control. Part I: basic theorems and J-lossless conjugators
Autorzy:
Suchomski, P. J.
Powiązania:
https://bibliotekanauki.pl/articles/969759.pdf
Data publikacji:
2007
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
linear systems
discrete-time systems
Riccati equations
Η∞ methods
lossless systems
perturbation analysis
numerical methods
Opis:
The paper gives a basis for solving many problems of numerically reliable synthesis of sub-optimal discrete-time control in Η∞. The approach is based on J-lossless factorisations of the delta-domain chain-scattering descriptions of continuous-time plants being controlled. Relevant properties of poles and zeros of chain-scattering models are given. Necessary and sufficient conditions for the existence of stabilising J-lossless conjugators are presented and discussed. Some aspects of numerical conditioning of synthesis of such conjugators are considered. A numerical example illustrating synthesis of stabilising right J-lossless conjugators is also included.
Źródło:
Control and Cybernetics; 2007, 36, 1; 97-141
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Wyświetlanie 1-25 z 80

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