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International Journal of Applied Mathematics and Computer Science
1999 Vol. 9, no 4 801-810
EN 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 p[...]
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88%
International Journal of Applied Mathematics and Computer Science
EN We consider a discrete disturbed system given by the difference bilinear equation x^{w}_{i+1} =Ax^{w}_{i} + De_{i} + sum_{j=1}^{q}f^{j}_{i}B_{j}x^{w}_{i}, i geq 0, where w=((e_{i})_{i geq 0}, (f_{i})_{i geq 0}) are disturbances which excite the system in a linear and a bilinear form. We assume th[...]
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Bulletin of the Polish Academy of Sciences. Technical Sciences
2015 Vol. 63, nr 2 457--464
EN In this paper three simplified forms of the fractional-order (FO) backward difference (BD) are proposed and analysed. Due to time and frequency characteristics criteria parameters of simplified forms of the FOBDs are chosen. Applications of the simplified forms of the FOBDs diminish a number of mult[...]
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Przegląd Elektrotechniczny
2008 R. 84, nr 9 142-152
PL Przedstawiono zagadnienie pomiaru sygnałów okresowych, w systemie pomiarowym, w którym warunki pomiaru determinują dynamikę czujników. Czujniki mają zmienne w czasie i okresowe właściwości. Badany system pomiarowy ma strukturę równoległą. Dwa równolegle pracujące tory pomiarowe posiadają, każdy, wła[...]
EN The question of the measurements of periodical signals is presented, in the measurement system in which the conditions of the measurement environment determine the dynamics of sensors. The sensors become time-varying and periodical objects. The studied measurement system has the parallel structure. [...]
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International Journal of Applied Mathematics and Computer Science
EN A geometric interpretation of invariant zeros of MIMO LTI discrete-time systems is provided. The zeros are treated as the triples: complex number, state zero direction, input zero direction. Such a treatment is strictly connected with the output zeroing problem and in that spirit the zeros can be ea[...]
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International Journal of Applied Mathematics and Computer Science
1999 Vol. 9, no 2 347-369
EN A distributed discrete-time hereditary system is considered. An unknown input is supposed to be a perturbation. First, we investigate the possibility of reconstructing this input using the information provided by an output equation. Then we treat the problem of keeping the observation as close as po[...]
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International Journal of Applied Mathematics and Computer Science
EN 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[...]
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International Journal of Applied Mathematics and Computer Science
EN This paper presents a constrained decomposition methodology with output injection to obtain decoupled partial models. Measured process outputs and decoupled partial model outputs are used to generate structured residuals for Fault Detection and Isolation (FDI). An algebraic framework is chosen to de[...]
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Pomiary Automatyka Kontrola
2008 R. 54, nr 8 517-519
PL W artykule zaproponowana zostanie metoda podziału systemu dyskretnego z wykorzystaniem teorii hipergrafów. System dyskretny reprezentowany jest poprzez hipergraf. Poszczególne moduły odzwierciedlane są poprzez wierzchołki, natomiast połączenia pomiędzy modułami - poprzez hiperkrawędzie. Tak określon[...]
EN A new method of the discrete-system decomposition is proposed in the paper. The method is based on the hypergraph reduction and partition. A discrete-system is represented by a hypergraph; where module corresponds to the vertex and connection (net) corresponds to the hyperedge. The proposed method a[...]
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Pomiary Automatyka Kontrola
2007 R. 53, nr 5 129-131
PL W referacie zaprezentowana zostanie metoda dekompozycji systemów dyskretnych z wykorzystaniem hipergrafów. Podział uzyskano poprzez zastosowanie hierarchicznej redukcji wierzchołków hipergrafu. W procesie partycjonowania bloki systemu dyskretnego reprezentowane są poprzez wierzchołki hipergrafu, nat[...]
EN In the paper a method of discrete-system decomposition is proposed. The method is based on the hypergraph reduction and partition. A discrete-system is represented by a hypergraph; where module corresponds to the vertice and connection (net) corresponds to the hyperedge. The proposed method allows h[...]
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International Journal of Applied Mathematics and Computer Science
EN A linear quadratic optimal control problem for a class of discrete distributed systems is analyzed. To solve this problem, we introduce an adequate topology and establish that optimal control can be determined though an inversion of the appropriate isomorphism. An example and a numerical approach ar[...]
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Przegląd Elektrotechniczny
PL W artykule przedstawiono nowy algorytm syntezy ortogonalnych równań stanu systemów o skończonej odpowiedzi impulsowej. W odróżnieniu od istniejących algorytmów opartych na przekształceniach wielomianowych, prezentowana technika wykorzystuje rozwinięcie równań stanu w szereg potęgowy. Takie podejście[...]
EN In this paper, a novel state-space synthesis algorithm for orthogonal finite impulse response systems is presented. In contrast to known algorithms based on polynomial transformations, this technique utilizes the power series expansion. Such an approach allows performing calculations by means of rea[...]
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Journal of Achievements in Materials and Manufacturing Engineering
EN Purpose: The paper is focused on the assumptions of the method of discretizing the states of sequential systems for an exemplary robotized metallurgical semi- finished products treatment department. The control of digital equipment is described on the bases of the patterns of control bites sequence [...]
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Przegląd Elektrotechniczny
PL Przedstawiono koncepcję skalowania czasowego systemów dyskretnych SISO i MIMO, tak liniowych, jak i nieliniowych. Pokazano, że algorytmy skalowania dla układów SISO mogą być przydatne do skalowania tych układów MIMO, dla których potrafimy wyznaczyć model typu „V”, jednak pod warunkiem, że elementy S[...]
EN The idea for time-scaling of output signals of linear and nonlinear SISO and MIMO discreet-time systems has been presented. It is shown, that algorithms for SISO discrete-time systems can be useful for scaling of MIMO ones, if so-called V-model of MIMO system can be determined and its SISO component[...]
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Postępy Technologii Maszyn i Urządzeń
PL W pracy zaprezentowano model dyskretnego systemu sterowania wytwarzaniem. Jest on przedstawiony za pomocą zapisu stosowanego w teorii mnogości. Model ten opisuje system wytwarzania jako zbiór obiektów reprezentujących dane oraz wiedzę w nim zawartą. Zaprezentowana koncepcja ma charakter ogólny, ale [...]
EN The paper presents the model of discrete event manufacturing control system. It describes manufacturing system behaviour using set theory. The model is considered as a collection of entities that represent knowledge and data of the manufacturing system. The presented concept is a general one but is [...]
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Pomiary Automatyka Kontrola
2011 R. 57, nr 8 945-947
PL W artykule zaprezentowane zostały nowe metody wspomagające proces analizy systemów dyskretnych opisanych sieciami Petriego. Relacje w prototypowanym systemie dyskretnym są odwzorowane hiper-grafem. Dzięki temu projektowany, wbudowany, rekonfigurowany sterownik logiczny może zostać poddany efektywnie[...]
EN In the paper application of the hypergraph theory to analysis of discrete-systems described by means of Petri Nets is proposed. The relations between local states are represented by hypergraph vertices whose edges correspond to the global states. Therefore, the analysis of a prototype system can be [...]
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International Journal of Applied Mathematics and Computer Science
EN The European leader for satellite systems and at the forefront of orbital infrastructures, Thales Alenia Space, is a joint venture between Thales (67%) and Finmeccanica (33%) and forms with Telespazio a Space Alliance. Thales Alenia Space is a worldwide reference in telecoms, radar and optical Earth[...]
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Diagnostyka
EN Functionally graded materials are used in aircrafts, space vehicles and defence industries because of their good thermal resistance. Geometrically nonlinear free vibration of a functionally graded beam with clamped ends (FGCB) is modeled here by an N-dof discrete system presenting an equivalent isot[...]
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Journal of Applied Computer Science
EN The paper presents some experimental results of a real-time implementation of discrete sliding mode control combined with a fuzzy-logic damper block. The hybrid real-time algorithm developed is aimed at applications to discrete systems. The sliding mode pan of the solution is based on system input a[...]
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Modelowanie Inżynierskie
PL W pracy przedstawiono propozycję rozwiązania problemu automatycznego sterowania wielkością zamówień dokonywanych w systemach magazynowych z dużymi opóźnieniami. Zaproponowano zastosowanie struktury regulatora niecałkowitego rzędu ze sprzężeniem w przód i w tył oraz ze zmodyfikowanym predyktorem Smit[...]
EN The paper presents a new fractional order structure for making orders in the automatic control warehouse system with variable time delay. Considered control system uses a discrete feedback-feedforward fractional order PDμ, PDν controller with Smith predictor. Results are compared with two alternativ[...]
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