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Technological process simulation
Dostál, Jiří ; Veselý, Libor (referee) ; Malounek, Petr (advisor)
This paper deals with a design of an inverted pendulum model and its controller in Matlab/Simulink, a conversion of the model and its controller to the ANSI C language and its implementation to B&R PLC's. The source code for B&R PLC's is generated automatically by the B&R Automation Studio Target for Simulink library. The first part deals with the design of a mathematical model of the inverted pendulum and its simulation in Matlab/Simulink, followed by a design of a LQ controller for this model using Matlab functions and a description of the B&R Automation Studio Target for Simulink library. The last part of this paper deals with the implementation of the model and its controller into two separate B&R PLC's, which are networked with the Ethernet Powerlink industrial fieldbus and it also describes visualizations that were designed for operating the system.
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The design of inverse pendulum
Kukla, Ondřej ; Zapletal, Tomáš (referee) ; Strecker, Zbyněk (advisor)
This thesis deals with design of inverted pendulum and experimental prove its functionality. Design was made in MATLAB Simulink software and experiment meant that pendulum can turn about 360°. In this thesis is described functional device which meets all asked requirements. There is also described process of design and construction of inverted pendulum which is the main benefit.
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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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Quality Improvement Of Lqg Control Using H∞ Optimization
Friml, Dominik
This paper describes the method of using H¥ optimization for tweaking of the existing structured controller. This method is presented on an example of LQG controller for the classical problem of the inverted pendulum on a cart. This means, that it is applicable not only on controller problems, but also on observer problems.
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Control of a rotational inverted pendulum
Bednář, Ladislav ; Pohl, Lukáš (referee) ; Veselý, Libor (advisor)
The goal of this work is modelling and design of an inverted pendulum prototype. The work presents a mathematical model of a rotary pendulum, modelling of a BLDC motors and also a 3D model of the pendulum prototype is present. The work mentions design of the state space controller and swing up control of the inverted pendulum. Dynamics obtained from the mathematical model is used to create a 3D dynamic model of a pendulum, with the use of the Simscape toolbox. The work deals with control of a BLDC motors with use of vector control. The algorithm is implemented on the CompactRIO platform. Later, hardware is developed, containing STMicroelectronis microcontroller, capable of replacing the CompactRIO platform.
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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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The design of inverse pendulum
Kukla, Ondřej ; Zapletal, Tomáš (referee) ; Strecker, Zbyněk (advisor)
This thesis deals with design of inverted pendulum and experimental prove its functionality. Design was made in MATLAB Simulink software and experiment meant that pendulum can turn about 360°. In this thesis is described functional device which meets all asked requirements. There is also described process of design and construction of inverted pendulum which is the main benefit.
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Single wheel vehicle
Hanuš, Radek ; Boušek, Jaroslav (referee) ; Háze, Jiří (advisor)
The main aim of this thesis is to design and build a self-balancing vehicle similar to a skateboard, utilizing only one wheel located in the centre of the device. The steering will be controlled by driver‘s tilt and the ride will resemble snowboarding or surfing. The initial part focuses on a comparison between commercially available devices. Frequently used components and their main attributes are described in the next part. After that, a possible solution is outlined, followed by an electrical design and firmware‘s function explanation. Final build, its set-up and overall results are summarised in the last part of this thesis.
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