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The Lorenz system: A route from stability to chaos
Arhinful, Daniel Andoh ; Šremr, Jiří (referee) ; Řehák, Pavel (advisor)
The theory of deterministic chaos has generated a lot of interest and continues to be one of the much-focused research areas in the field of dynamics today. This is due to its prevalence in essential parts of human lives such as electrical circuits, chemical reactions, the flow of blood through the human system, the weather, etc. This thesis presents a study of the Lorenz equations, a famous example of chaotic systems. In particular, it presents the analysis of the Lorenz equations from stability to chaos and various bifurcation scenarios with numerical and graphical interpretations. It studies concepts of non-linear dynamical systems such as equilibrium points, stability, linearization, bifurcation, Lyapunov function, etc. Finally, it discusses how the Lorenz equations serve as a model for the waterwheel (in detail), and the convection roll for fluid.
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Controller of hot runner for injection molds
Chrenka, Eduard ; Fiedler, Petr (referee) ; Štohl, Radek (advisor)
The thesis focuses on implementation of a hot runner controller for injection molds for plastic materials with a maximum number of 56 regulated zones. The first part of the thesis deals with already existing and used solutions of the given subject. The following part of the thesis describes the principles of temperature measurement by means of thermoelectric sensors, including their linearization as well as communication protocols MODBUS, EUROMAP 17. The identification of a regulated system ( heating zone) has been carried out before the hardware design. The development process is divided into some parts : system conception, hardware design, software development. The controller consists of measuring modules designed to collect data and handle power controllers for management of performance of heating elements. The necessary calculation power is integrated into the controllling computer. All parts of a hot runner controller are implemented taking into account the costs.
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Design of Gm-C integrator for asynchronous delta-sigma modulators
Kekelák, Miroslav ; Prokop, Roman (referee) ; Kledrowetz, Vilém (advisor)
This thesis deals with the study of the design of Gm-C integrators suitable for asynchronous delta-sigma modulators. The theoretical part of the thesis describes the principle of synchronous and asynchronous delta-sigma modulators. A separate chapter is devoted to integrators used in Delta-sigma modulators. Another separate chapter is devoted to transconductors and linearization problems. In the practical part, selected circuits were implemented in I3T80 technology and verified in Spectre simulator.
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NEW PRINCIPLES OF GATE CAPACITANCE CHARACTERIZATION FOR SIGMA-DELTA MODULATORS
Sutorý, Tomáš ; Ďuračková, Daniela (referee) ; Husák, Miroslav (referee) ; Kolka, Zdeněk (advisor)
This thesis deals with the utilization of new principles of characterization of gate capacitances for sigma-delta modulators. Sigma-delta modulators are the integral part of sigma-delta analog-to-digital converters. The proposed new method is characterized by high resolution and modest requirements for laboratory equipment. It allows characterizing capacitances whose values are within the range which is used in sigma-delta modulators. The thesis contains description of the new method, the analysis of measurement accuracy and experimental results.
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Modeling of system motors with flexible component
Lebeda, Aleš ; Dvořáček, Martin (referee) ; Pivoňka, Petr (advisor)
This thesis deals with problem of experimental identification using principles of artificial intelligence and development of nonlinear models. It shows how to estimate parameters of nonlinear models and it compares different types of nonlinear models based on analytical analysis which were developed from measured data in simulation and real system motors with flexible component.
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Design of Gm-C integrator for asynchronous delta-sigma modulators
Kekelák, Miroslav ; Prokop, Roman (referee) ; Kledrowetz, Vilém (advisor)
This thesis deals with the study of the design of Gm-C integrators suitable for asynchronous delta-sigma modulators. The theoretical part of the thesis describes the principle of synchronous and asynchronous delta-sigma modulators. A separate chapter is devoted to integrators used in Delta-sigma modulators. Another separate chapter is devoted to transconductors and linearization problems. In the practical part, selected circuits were implemented in I3T80 technology and verified in Spectre simulator.
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Acquisition System For Adaptation Of Digital Predistorter To Linearize Amplifiers Using Comparator
Jagla, Lukáš
This paper presents a design of an acquisition system for adaptation of a digital perdistorter implementing a comparator in the feedback path. The key parts of an acquisition chain are verified by simulations and suitable components are chosen for high-speed performance. Subsequently, a printed circuit board is designed, manufactured and prepared for further testing. Finally, an appropriate firmware is developed to evaluate the proposed hardware and to acquire data for digital predistorter adaptation.
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The Lorenz system: A route from stability to chaos
Arhinful, Daniel Andoh ; Šremr, Jiří (referee) ; Řehák, Pavel (advisor)
The theory of deterministic chaos has generated a lot of interest and continues to be one of the much-focused research areas in the field of dynamics today. This is due to its prevalence in essential parts of human lives such as electrical circuits, chemical reactions, the flow of blood through the human system, the weather, etc. This thesis presents a study of the Lorenz equations, a famous example of chaotic systems. In particular, it presents the analysis of the Lorenz equations from stability to chaos and various bifurcation scenarios with numerical and graphical interpretations. It studies concepts of non-linear dynamical systems such as equilibrium points, stability, linearization, bifurcation, Lyapunov function, etc. Finally, it discusses how the Lorenz equations serve as a model for the waterwheel (in detail), and the convection roll for fluid.
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Adaptation of digital predistorter to linearize amplifiers using comparator
Jagla, Lukáš ; Ayöz, Suat (referee) ; Götthans, Tomáš (advisor)
Diplomová práce pojednává o návrhu nového hardwaru využívající komparátor ve zpětné vazbě systému pro digitální předzkreslování signálu. Vybrané vlastnosti navrhované architektury jsou ověřeny pomocí simulací a následně jsou zvoleny komponenty vhodné pro vysokofrekvenční použití za účelem implementace. Na bázi předložené architektury je navržen akviziční modul včetně obvodové realizace a vytvoření plošného spoje. Zhotovený plošný spoj je osazen a připraven pro další testování. Dále je navržen příslušný firmware pro příjem a vysílání signálu a získávání naměřených dat. Obdržené výsledky jsou určeny pro zhodnocení vlastností hardwaru a budoucího využití architektury v systémech digitálních předzkreslovačů.
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