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Nonholonomic mechanisms control
Mareček, Tomáš ; Hrdina, Jaroslav (referee) ; Vašík, Petr (advisor)
This thesis deals with a control theory of nonholonomic mechanisms. Examples explaining the application of dierential geometry notions are provided. More precisely, the area of Lie groups and Lie algebras is employed. Kinematic equations are constructed for a 3-link snake-like robot and a nonholonomic control system is derived in terms of vector felds. Additional vector felds are created by the Lie bracket operation to prove local controllability of the nonholonomic system. Finally, the snake-like robot’s moves are animated in MATLAB software.
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Geometric models of a snake robot control
Byrtus, Roman ; Hrdina, Jaroslav (referee) ; Vašík, Petr (advisor)
This thesis deals with the geometric theory of control of a robotic snake. The thesis includes required definitions of differential geometry and control theory, which are used to describe and derive the control model for a three segment robotic snake. The model is applied in the simulation environment V-REP.
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Nonholonomic mechanisms control
Mareček, Tomáš ; Hrdina, Jaroslav (referee) ; Vašík, Petr (advisor)
This thesis deals with a control theory of nonholonomic mechanisms. Examples explaining the application of dierential geometry notions are provided. More precisely, the area of Lie groups and Lie algebras is employed. Kinematic equations are constructed for a 3-link snake-like robot and a nonholonomic control system is derived in terms of vector felds. Additional vector felds are created by the Lie bracket operation to prove local controllability of the nonholonomic system. Finally, the snake-like robot’s moves are animated in MATLAB software.
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Geometric models of a snake robot control
Byrtus, Roman ; Hrdina, Jaroslav (referee) ; Vašík, Petr (advisor)
This thesis deals with the geometric theory of control of a robotic snake. The thesis includes required definitions of differential geometry and control theory, which are used to describe and derive the control model for a three segment robotic snake. The model is applied in the simulation environment V-REP.
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