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EN
In mathematical and engineering control theory it is of great importance that the control system is described by the coupled generalized control system. One of the most important problems is to study the stabilization and pole assignment. In the paper, the pole assignment of the coupled generalized control system is discussed in Hilbert space. The solutions of the problem and the constructive expression of the solutions are given by the generalized inverse of one operator.
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Content available A self-stabilising multipurpose single-wheel robot
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EN
This article presents a design process of a single-wheel robot which consists of building a theoretical model, designing a mechanical structure, simulating the design, building a prototype and testing it. It describes the control strategy for this vehicle, developed during the simulation process, and how it works for a ready built prototype. It mainly focuses on the self-stabilisation problem encountered in the single-wheel structure and shows the test rig results for this case. The design of the robot is under patent protection.
PL
Praca przedstawia zgłoszoną do opatentowania konstrukcję jednokołowego robota anholonomicznego, wyposażonego w układ sterowania oraz system stabilizacji bazujący na budowie odwróconego wahadła fizycznego.
EN
The study presents the assumptions of a probabilistic diagnosis of the production process of concrete mix on the basis of time-dependent assessment of the compressive strength of concrete. An appropriate record of a continuous production process of concrete was proposed (letter and graphic marking) and three groups of models qualifying manufacturing processes of bitumen mix were formulated in terms of their stabilization. It was suggested that the developed theory could be possibly used, among other things, in the creation of expert control systems and regulation of processes in the automated production plants manufacturing prefabricated elements (the production of sets by on-line method) or motorway surfaces of cement concrete with a continuous reinforcement [17].
EN
We show that under the action of fast oscillating-in-time external forces, there exists a unique time periodic solution, and any weak solution to the Navier-Stokes-Voigt equations converges to this time periodic flow with exponential speed in time.
PL
Badano wpływ kwasu taninowego (TA) i/lub penicyliny (P) na efekt stabilizacji tkanek. W badaniach wykorzystano elektroforezę SDS-PAGE. Wykazano, że oddziaływanie TA lub P powoduje istotne zmiany profili elektroforetycznych białek uwalnianych z tkanek - w porównaniu z tkanką nie poddaną stabilizacji.
EN
The influence of tannic acid (TA) and/or penicillin (P) on pericardium tissues stabilization effects have been examined. The SDS-PAGE electrophoresis was employed in the studies. It was shown that interactions of TA or P result in changes of electrophoretic profiles of proteins extracted from tissues as compared with non-stabilized tissue.
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Content available remote Remarks on the Stabilization Problem for Linear Finite-Dimensional Systems
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EN
The celebrated 1967 pole assignment theory of W. M. Wonham for linear finite-dimensional control systems has been applied to various stabilization problems both of finite and infinite dimension. Besides existing approaches developed so far, we propose a new approach to feedback stabilization of linear systems, which leads to a clearer and more explicit construction of a feedback scheme.
PL
W pracy przedstawiono wyniki badań stabilizacji gruntu pylastego cementem i silmentem. Określono wytrzymałość na ściskanie pyłu z dodatkiem 3, 6 i 10% stabilizatora po 7, 14, 28 i 42 dobach pielęgnacji próbek. Wytrzymałość na ściskanie określono również na próbkach z dodatkiem stabilizatora po 28 dobach pielęgnacji próbek poddanych cyklom zamrażania w temperaturze - 23 stopni Celsjusza i odmrażania w wodzie. Otrzymane wartości wytrzymałości na ściskanie oraz wskaźnika mrozoodpomości analizowano w odniesieniu do wartości wymaganych dla materiałów stosowanych w budownictwie drogowym.
EN
Results of the tests of stabilization of a silty soil with cement and silment were presented in the paper. Compression strength of the silt with 3, 6 and 10% addition of stabilizer after 7, 14, 28 and 42 days was determined. Compression strength was also determined for the samples with stabilizer after 28 days treating with cycles of freezing at the temperature of - 23 degrees of Celsius and thawing in water. The obtained values of compression strength and frost resistance index were analysed in relation to the values required for the materials used in road building.
EN
This paper deals with the problem of stabilization by an estimated state feedback for a family of nonlinear time-delay Takagi-Sugeno fuzzy parameterized systems. The delay is supposed to be constant where the parameter-dependent controls laws are used to compensate the nonlinearities which are formulated in terms of linear matrix inequalities (LMIs). Based on the Lyapunov-Krasovskii functionals, global exponential stability of the closed-loop systems is achieved. The controller and observer gains are able to be separately designed even in the presence of modeling uncertainty and state delay. Finally, a numerical example is given to show the applicability of the main result.
EN
We consider the well-posedness and the long time behavior of third order in time linear evolution equations, general and abstract version of the Moore-Gibson-Thompson system. We find sufficient but strong conditions that guarantee the exponential decay of the system and present some illustrative examples. Then, by comparing the behavior of the resolvent of the Moore-Gibson-Thompson system with the one of the resolvent of the wave equation with a frictional interior damping, we furnish weaker conditions that guarantee exponential, polynomial or even logarithmic decay of the solution of the Moore-Gibson-Thompson system in a bounded domain of Rn, n ≥ 1.
EN
This paper is devoted to the study of the problem of stabilization by proportional-plus-derivative state feedback for multivariable linear time-invariant systems. In particular, explicit necessary and sufficient conditions are established for the stability of a closed-loop system obtained by proportional-plus-derivative state feedback from the given multivariable linear time-invariant system. A procedure is given for the computation of stabilizing proportional- plus-derivative state feedback. Our approach is based on properties of real and polynomial matrices.
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Content available remote Cross-linked enzyme aggregates (CLEA) in enzyme improvement – a review
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EN
Structural and functional catalytic characteristics of cross-linked enzyme aggregates (CLEA) are reviewed. Firstly, advantages of enzyme immobilization and existing types of immobilization are described. Then, a wide description of the factors that modify CLEA activity, selectivity and stability is presented. Nowadays CLEA offers an economic, simple and easy tool to reuse biocatalysts, improving their catalytic properties and stability. This immobilization methodology has been widely and satisfactorily tested with a great variety of enzymes and has demonstrated its potential as a future tool to optimize biocatalytic processes.
12
Content available Soil stabilization with foamed bitumen
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EN
Foamed bitumen is a new material used for soil stabilisation. Its suitability was assessed by conducting laboratory tests for uniform-grained soil. The contents of foamed bitumen were 3.0% and 3.5%, while the contents of portland cement added to increase the grain quantity were 2.0%, 2.5% and 3.0% respectivel y. The test results show that soil stabilised with foamed bitumen meets the same criteria as those established for soil stabilised with 6.0% cement and for soil stabilised with recycled base material obtained by applying the foamed bitumen and the M-C-E technology. It is reported that by applying foamed bitumen it is possible to produce a semi-rigid laver of stabilised soil.
EN
In the paper, different structures of electric ladder networks are considered: RC, RL, and RLC. Such systems are composed of resistors, inductors and capacitors connected in series. The elements of the network are not identical and have nonlinear characteristics. The network's dynamic behavior can be mathematically described by nonlinear differential equations. A class of robust feedback controls is designed to stabilize the system. The asymptotic stability of the closed-loop system is analyzed and proved by the use of Lyapunov functionals and LaSalle's invariance principle. The results of computer simulations are included to verify theoretical analysis and mathematical formulation.
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Content available remote Separation principle for nonlinear systems: a bilinear approach
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EN
In this paper we investigate the local stabilizability of single-input nonlinear affine systems by means of an estimated state feedback law given by a bilinear observer. The associated bilinear approximating system is assumed to be observable for any input and stabilizable by a homogeneous feedback law of degree zero. Furthermore, we discuss the case of planar systems which admit bad inputs (i.e. the ones that make bilinear systems unobservable). A separation principle for such systems is given.
EN
In this paper, we study the stabilization problem of uncertain systems. We treat a class of uncertain systems whose nominal part is affine in the control and whose uncertain part is bounded by a known affine function of the control, when the control is bounded by a specified constant.
EN
We consider the optimization of the actuator problem for a Bernoulli-Euler beam. By using Riesz basis theory, we show, at high frequencies, that the optimal location of the actuator is the middle of the beam.
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Content available Stabilizacja ruchu mobilnego robota kołowego
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PL
W niniejszej pracy do rozwiązania zadania stabilizacji zastosowano strukturę hierarchiczną. Na wyższym poziomie układu hierarchii wygenerowano zadaną trajektorię ruchu mobilnego robota bazując na pojęciu inwariantnej powierzchni. Wygenerowana trajektoria stanowiła zadaną trajektorię ruchu realizowaną przez odporny algorytm sterowania zrealizowany na niższym poziomie hierarchii. Poprawność rozwiązania generatora zadanej trajektorii oraz układu sterowania nadążnego w zadaniu stabilizacji została potwierdzona w badaniach symulacyjnych.
EN
In this paper, for solution of stabilization, the hierarchic structure was applied. The desired trajectory of movement of movement of mobile robot, higher levelof arrangement of hierarchy, was generated based on the invariant manifold. The generated trajectory made up the desired trajectory of movement is realised by robust algorithm on lover level of hierarchy. Computersimulation have been conducted to illustrate the performance of the proposed approach by series of experiments on the emulator of wheeled mobile robot Pioneer.
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EN
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.
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EN
LMI approach is applied to compute a gain matrix of state-feedbacks such that the closed-loop system is positive and asymptotically stable. Necessary and suffiecient conditions for the solvability of the problem are established. The proposed method is illustrated by two numerical examples.
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