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MOLECUBES technology application in robotics
Vacek, Václav ; Kubela, Tomáš (referee) ; Simeonov, Simeon (advisor)
The aim of the thesis is to propose and make a robot, which is made of identical modules. These modules are able to connect or disconnect themselves and thanks to this feature new structures of robot can be achieved. This problem is solved by the design proposal of a module, which is capable to rotate in two axis and has connection connectors for other modules. Communication is carried out by Wi-fi connection to the computer and angles required for reconfiguration are calculated by inverse kinematics in Matlab program. On these modules the reconfiguration test was succesfully demonstrated.
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Animation Library Focused on Skeletal Animations
Dokoupil, Petr ; Přibyl, Jaroslav (referee) ; Štancl, Vít (advisor)
This thesis proposes an architecture of animation engine flexible enough to support large scale of animation algorithms with unified approach to each one of them. One of the major goals of the engine is to support creation of very complex animation seqences with high degree of animation execution control. The main animation technique used in the engine is skeletal animation and some variants of this technique are already implemented within, but it was never meant to be skeletal animation only engine and is designed that way.
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Robotic mechanisms control
Mareček, Tomáš ; Hrdina, Jaroslav (referee) ; Vašík, Petr (advisor)
The aim of this thesis is to discuss kinematic models, their properties and control. For this task, we chose a geometric control theory approach. For a predescribed trajectory of the gripper, a straight path in particular, motion planning algorithm for the UR5e robotic arm from Universal Robots is implemented. For the description of motion, the concept of conformal geometric algebra is used. Properties of the algebra objects were thoroughly described and consequently used to propose a model of forward and reverse kinematics of UR5e. Gains and losses of this approach were discussed. The algorithms are implemented in CLUViz 7.0.
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Modelování chůze čtyřnohého robotu
Číž, Adam ; Křivánek, Václav (referee) ; Grepl, Robert (advisor)
This thesis deals with creation of a dynamic model of a walking quadruped robot in MATLAB/Simscape Multibody environment. It describes the process of creation from modelling of the geometry all the way to the gait algorithm assembly. Inverse kinematics was used to create the gait algorithm. The thesis also includes evaluation of the outputs of the model in form of angular velocity and torque time course in the joints of the robot while walking.
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Robotic manipulator based on CGA
Stodola, Marek ; Salač,, Tomáš (referee) ; Hrdina, Jaroslav (advisor)
Conformal geometric algebra is defined in the thesis. Representations of geometric objects and possibilities of their geometric transformations are presented. Conformal geometric algebra is applied to the calculation of forward kinematics of a robotic manipulator UR10 from Universal Robots. It is also applied to determine the position of the machine based on the location and rotation of two cameras. Then it is used in an inverse task, where based on records from the two cameras, dimensions of the UR10 manipulator and possibilities of its movement, the mutual position of these cameras is determined. And consequently the possibilities of their location in space. Finally, the derived procedures are implemented in a custom program created in the CluCalc environment, using which a sample example verifying the correctness of these procedures is calculated.
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Hexapod Robot Control
Pelz, Zdeněk ; Rozman, Jaroslav (referee) ; Žák, Marek (advisor)
This thesis contains problematics of robots with peddal chassis and is focused on hexapods. It contains description of design of hexapod chassis, limb analysis, gaits for movement on flat terrain and sensors for ranged measurement. Thesis is focused on hexapod PhantomX AX Hexapod Mark II.
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Robotic structure configuration using MOLECUBES
Vítek, Filip ; Kubela, Tomáš (referee) ; Simeonov, Simeon (advisor)
This master thesis is focused on Modular Self-Reconfigurable Robotic Systems. Their description is made at first and then possibilities of their use are listed. The next chapter concerns Molecubes modular system. The design of similar system where the construction of the individual modules is described follows. The transformations of coordinated systems in the individual modules are described and the calculation of forward kinematics and simulation of inverse kinematics is made at the end of the thesis.
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Mathematical principles of Robotics
Pivovarník, Marek ; Kureš, Miroslav (referee) ; Hrdina, Jaroslav (advisor)
Táto diplomová práca sa zaoberá matematickými aparátmi popisujúcimi doprednú a inverznú kinematiku robotického ramena. Pre popis polohy koncového efektoru, teda doprednej kinematiky, je potrebné zaviesť špeciálnu Euklidovskú grupu zobrazení. Táto grupa môže byť reprezentovaná pomocou matíc alebo pomocou duálnych kvaterniónov. Problém inverznej kinematiky, kedy je potrebné z určenej polohy koncového efektoru dopočítať kĺbové parametre robotického ramena, je v tejto práci riešený pomocou exponenciálnych zobrazení a Grobnerovej bázy. Všetky spomenuté popisy doprednej a inverznej kinematiky sú aplikované na robotické rameno s troma rotačnými kĺbami. Odvodené postupy sú následne implementované a vizualizované v prostredí programu Mathematica.
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Applications of Quaternions in Robot Kinematics
Doctor, Diana ; Vašík, Petr (referee) ; Matoušek, Radomil (advisor)
This thesis deals with the usefulness of the application of quaternions in representing robot kinematics. It begins by showing the relationship of quaternions to the more commonly-known complex numbers and how it can represent rotations in three-dimensions. Then, the dual quaternions are introduced to represent both the three-dimensional rotation and translation. It will then be used to derive the forward and inverse kinematics, particularly, for the Universal Robot UR3 which is a 6-DOF robotic arm. Lastly, an actual application of dual quaternions in robot programming will be demonstrated
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