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Modeling and analysis of laboratory rotational pendulum
Nedvědický, Pavel ; Bastl, Michal (referee) ; Brablc, Martin (advisor)
This bachelor thesis aims at modelling, identification and control of Furuta pendulum. System was described via mathematical equations and simulation model was created in Matlab/Simulink. Parameters of rotary inverted pendulum were estimated using the simulation model. Then the thesis deals with swing up via torque impulse, energy control and PD regulator. In the part dealing with friction five compensation models were created. They include change of friction during rotation and one of them is dynamic model, Reset Integrator. Models were verified by adding them as an input to an actuator and testing them. To stabilize pendulum in inverted position state feedback control with state observer was designed using LQR method. Final regulation included all knowledge obtained during this thesis.
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Control Design of the Rotation Inverted Pendulum
Cejpek, Zdeněk ; Němec, Zdeněk (referee) ; Matoušek, Radomil (advisor)
Aim of this thesis is building of a simulator model of a rotary (Furuta) pendulum and design of appropriate regulators. This paper describes assembly of a nonlinear simulator model, using Matlab–Simulink and its library Simscape–Simmechanics. Furthermore the paper discuss linear discrete model obtained from the system response, using least squares method. This linear model serves as aproximation of the system for designing of two linear discrete state space regulators with sumator. These regulators are supported by a simple swing–up regulator and logics managing cooperation.
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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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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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Control Design of the Rotation Inverted Pendulum
Cejpek, Zdeněk ; Němec, Zdeněk (referee) ; Matoušek, Radomil (advisor)
Aim of this thesis is building of a simulator model of a rotary (Furuta) pendulum and design of appropriate regulators. This paper describes assembly of a nonlinear simulator model, using Matlab–Simulink and its library Simscape–Simmechanics. Furthermore the paper discuss linear discrete model obtained from the system response, using least squares method. This linear model serves as aproximation of the system for designing of two linear discrete state space regulators with sumator. These regulators are supported by a simple swing–up regulator and logics managing cooperation.
|
|
|
Modeling and analysis of laboratory rotational pendulum
Nedvědický, Pavel ; Bastl, Michal (referee) ; Brablc, Martin (advisor)
This bachelor thesis aims at modelling, identification and control of Furuta pendulum. System was described via mathematical equations and simulation model was created in Matlab/Simulink. Parameters of rotary inverted pendulum were estimated using the simulation model. Then the thesis deals with swing up via torque impulse, energy control and PD regulator. In the part dealing with friction five compensation models were created. They include change of friction during rotation and one of them is dynamic model, Reset Integrator. Models were verified by adding them as an input to an actuator and testing them. To stabilize pendulum in inverted position state feedback control with state observer was designed using LQR method. Final regulation included all knowledge obtained during this thesis.
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