Wyniki wyszukiwania - BazTech

1

Analysis of undamped second order systems with dynamic feedback

Mitkowski W.

Control and Cybernetics

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2004

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Vol. 33, no 4

563-572

EN

In this paper the stabilization problem of undamped second order system is considered. The stabilization by first order dynamic feedback is studied. The global asymptotic stability of the respectively closed-loop system is proved by LaSalle's theorem. As an example of application of the proposed method an electric ladder network L and Ic type is presented. Numerical calculations were made using the Matlab/Simulink program.

2

Stabilisation of LC ladder network

Mitkowski W.

Bulletin of the Polish Academy of Sciences. Technical Sciences

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2004

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Vol. 52, nr 2

109-114

EN

In this paper stabilisation problem of LC ladder network is established. We studied the following cases: stabilisation by inner resistance, by velocity feedback and stabilisation by dynamic linear feedback, in particularly stabilisation by first range dynamic feedback. The global asymptotic stability of the respectively system is proved by LaSalle's theorem. In the proof the observability of the dynamic system plays an essential role. Numerical calculations were made using the Matlab/Simulink program.

3

Dynamic Feedback in LC Ladder Network

Mitkowski W.

Bulletin of the Polish Academy of Sciences. Technical Sciences

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2003

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Vol. 51, nr 2

173-180

EN

In this paper stabilisation problem of LC ladder network is established. Nonlinear and linear dynamic feedback without velocity feedback is considered. The global asymptotic stability of the closed-loop system is proved by LaSalle's theorem. Numerical calculations were made with the aid of Matlab/Simulink program.

4

On strange attractors for discrete models of long transmission lines. Part 1. The problem background and preliminary results

Trzaska Z.W.

Archives of Electrical Engineering

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2002

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Vol. 51, nr 4

355-369

EN

The paper presents new results related to explicit solutions of semi-discrete models which appear in studies of transients in lossy long transmission lines. The theory of nonlinear difference equations has been applied. It is shown that the ratio of transversal and longitudinal state variables distributed along the line can be easily determined by using power polynomials in indeterminate q = q(s) depending on the line parameters and the complex frequency s. The established solutions are expressed in terms of appropriate continued fractions and the corresponding generating matrices are involved. Problems concerning some equalities and the limiting behaviour as well as parameters determining initial terms are also studied. Conditions leading to strange attractors for semi-discrete models are formulated and studied. Basins of attraction of the strange attractors are exhibited.

PL

W artykule przedstawione zostały nowe wyniki odnoszące się do jawnych rozwiązań równań opisujących pół-dyskretne modele stosowane w badaniach stanów nieustalonych w liniach długich. Podstawę w zrealizowanych badaniach stanowi teoria nieliniowych równań różnicowych. Wykazane zostało, że stosunek transwersalnej i podłużnej zmiennych stanu rozłożonych wzdłuż linii może być stosunkowo łatwo wyznaczony przez zastosowanie wielomianów potęgowych względem zmiennej niezależnej q = q(s), która zależy od parametrów jednostkowych linii długiej i częstotliwości uogólnionej s. Podano reguły wyznaczania tych wielomianów oraz zależności rekurencyjne pozwalające określać współczynniki przy kolejnych potęgach zmiennej q. Przedstawiono też możliwość pojawiania się zjawiska chaosu w rozkładach napięć i prądów w linii długiej przy odpowiednim obciążeniu na krańcu odbiorczym i zasilaniu impulsowym na wejściu linii.