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Construction of laboratory model "Ball on Spool"
Pohludka, Jan ; Appel, Martin (referee) ; Dobossy, Barnabás (advisor)
This thesis is primarily about designing laboratory model Ball on Spool. The first part of this thesis describes modelling of the system, calculation of parameters, design of the control and simulation, based on which the requirements for the actuator are determined. Secondly, this thesis outlines the design of physical model based on simulation results. All of the components used are described, together with the electrical circuit. Parameters of the physical model are estimated using measured data from experiments. The last part is about designing a control of physical model and its demonstration. This thesis also includes a user manual.
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Optimization in control systems
Daniel, Martin ; Václavek, Pavel (referee) ; Pohl, Lukáš (advisor)
Master’s thesis deals with using a linear matrix inequality (LMI) in control of a dynamic systems. We can define a stability of a dynamic system with a LMI. We can use a LMI for research if the poles of a system are in a given regions in the left half-plane of the complex plane with a LMI or we can use a LMI for a state feedback control. In the work we describe a desing of a controller minimizing a norm from an input to an output of the system. There is also a desing of a LQ controller with a LMI. In the end of the work, there are two examples of a design a LQ controller, which minimize the norm from the input to the output of the system and moves a poles of a dynamic system in a given regions in the complex plane, with the LMI. We use a LMI for a design a continuos LQ controller in the first example. In the second example we use a LMI for a design a discrete LQ controller.
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Educational Model - Balancing Rod
Pojsl, Jakub ; Rajchl, Matej (referee) ; Najman, Jan (advisor)
This master's thesis deals with the design of the educational model of a balancing stick and implementation of control algorithms for this model. The balancing stick combines an inverted pendulum with reaction wheels, which allow for momentary control and maintaining its balance. The thesis includes a theoretical analysis of the reaction wheels, research on suitable components for the model's realization, design and construction of the physical device, implementation and testing of the control algorithms and evaluation of the design of the real model. The outcome of the thesis also includes a set of tasks that complement the educational use of the model and documentation of the control unit library.
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Ladění parametrů LQG řízení pomocí evolučních metod
Marton, Filip ; Brablc, Martin (referee) ; Grepl, Robert (advisor)
This master thesis deals with the design of evolutionary algorithms to optimize LQG control of two laboratory models. It also deals with the creation of simplified models used to describe real models and with the subsequent estimation of their parameters. After this section it deals with optimization of control parameters with the use of simplified models, testing the control on laboratory models and summarizing the results of controlling the models.
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Construction of laboratory model "Ball on Spool"
Pohludka, Jan ; Appel, Martin (referee) ; Dobossy, Barnabás (advisor)
This thesis is primarily about designing laboratory model Ball on Spool. The first part of this thesis describes modelling of the system, calculation of parameters, design of the control and simulation, based on which the requirements for the actuator are determined. Secondly, this thesis outlines the design of physical model based on simulation results. All of the components used are described, together with the electrical circuit. Parameters of the physical model are estimated using measured data from experiments. The last part is about designing a control of physical model and its demonstration. This thesis also includes a user manual.
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Stabilization of macroscopic particle in optical trap
Mlynář, Vojtěch ; Matěj, Zdeněk (referee) ; Brablc, Martin (advisor)
Cílem této práce je implementace a otestování algoritmů pro zpětnovazební stabilizaci částice v optické pasti. Tyto algoritmy jsou implementovány v programovatelném hradlovém poli Red Pitaya STEMlab 125-14 s využitím automatického generování kódu z modelů v programu Simulink. V práci je popsán fyzikální základ řízeného systému, jeho návaznost na teorii Kálmánova filtru, detaily implementovaných algoritmů v FPGA a procedury využité pro odhad parametrů. Implementované algoritmy byly úspěšně otestovány na reálné sestavě a výsledky jsou ukázány v závěru práce.
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Educating model for mechatronics: model development and fast USB communication
Formánek, Martin ; Vejlupek, Josef (referee) ; Appel, Martin (advisor)
Táto diplomová práca sa zaoberá návrhom a realizáciou výukového modelu pre študentov mechatroniky na vysokej škole. Úvod práce sa zaoberá krátkym uvedením do problematiky používania univerzálnej sériovej zbernice a jej implementáciou pre komunikáciu s mikrokontrolérom. Druhá časť je venovaná hardwaru zariadenia, medzi čo patrí voľba vhodného motoru, návrh vhodných elektronických komponentov, návrh dosiek plošných spojov a taktiež mechanickej konštrukcie celého zariadenia. Nasleduje softwarová časť, popisujúca praktickú realizáciu komunikácie, program v mikrokontroléry, a Toolbox, ktorý umožňuje užívateľovi jednoduchú interakciu s hardwarom a to jak z Matlabu. tak zo Simulinku. Kombinácia navrhnutých hardwarových a softwarových prvkov umožňuje jednoduchú cestu k zlepšeniu vedomostí študentov v oblastiach programovania, riadenia a modelovaní sústav. Pre tieto účely je práca rozšírená o pracovný list, ktorý dopĺňa navrhnuté zariadenie o sadu experimentálnych úloh, zameraných na vybrané mechatronické problémy.
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Pendulum stabilization
Maralík, Marek ; Veselý, Libor (referee) ; Pohl, Lukáš (advisor)
The diploma thesis deals with putting the pendulum into upright position and its stabilization on a real system. The opening chapter describes the limiting various implementation inverse pendulums, the use of major laboratory tasks in industry, and the selection of appropriate methods for stabilization. The real system was properly identified and parameterized. The mathematical model of the inverse pendulum was derived using the Lagrange method of the second type, the nonlinear system was converted into a status description and linearized for the needs of the state controller design. The system was simulated in the Matlab Simulink environment. The LQR controller was chosen as the regulator stabilizing in upright cases. A Kalman controller in discrete form was prepared for the filter signal and estimation of residual states. The energy method was chosen for the upright pendulums. The proposed methods were tested and implemented in simulation and on a real system.
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