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Inverted pendulum control
Daněk, Petr ; Němec, Zdeněk (referee) ; Marada, Tomáš (advisor)
This diploma thesis deals with inverse pendulum control. There are described types of inverse pendulums, used power electronics, sensors and their connection to the MF624 control card and to external hardware. Further is described the identification of parameters, including the assembly of a custom algorithm for identification of viscous friction in the pendulum rotary coupling. For identification of moments of inertia are used 3D CAD models, where the thesis describes also use of these models for VRML visualization. The thesis also describes how to build a dynamic model by using Matlab-Simulink and the Simscape-Multibody toolbox. This model is further used in design of the controller using LQR and its simulation testing. The controller is complemented by swing-up algorithm, security elements and MF624 driver interface is designed. The control is tested on a real inverse pendulum assembly and implemented in external hardware.
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Control Rotational Inverse Pendulum Laboratory Model
Šnajder, Jan ; Bastl, Michal (referee) ; Brablc, Martin (advisor)
Aim of this bachelor thesis is modeling, identification and control of rotational inverted pendulum. The thesis describes parts of real system and its control. The work also contains creation of simulation model in Matlab/Simulink. Simulation model is respresented by mathematical equations created by second type Lagrange equations. Estimation of parameters is based on reduced systems and these parameters have been validated. Control of system is based on state-space model. The paper includes description of linearization, design of state-space control created by LQR method and creation of state-space observer. The last part of the study is focused on state observer experiments, friction compensation by few static friction models and by adding noise to compensation.
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Design of embedded system for control of educational model of rotary pendulum
Jajtner, Jan ; Chalupa, Jan (referee) ; Grepl, Robert (advisor)
The basic aim of this work is to improve existing model of rotational inverted pendulum by adding new mechanical features, implement the control algorithm to dsPIC microcontroller and develop related control electronics thus extending the functionality of current model while making it more compact. The work contains derivation of dynamic equations both by means of analytical methods and multi-body formalism of SimMechanics. These are used to design a state controller stabilizing the pendulum in inverse position. In addition, parameters of the system are being estimated experimentally. Swing-up controller is developed to drive the pendulum to unstable position. Various state estimators are added to controller to improve the control process while comparing their overall performance. The last point is devoted to development of superior state-automaton designed to switch between different regulating modes including fail-detection algorithms providing smooth operation of the model.
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Modelling, identification and control of rotary pendulum
Klusáček, Ondřej ; Ondrůšek, Čestmír (referee) ; Grepl, Robert (advisor)
The diploma thesis deals with control of rotary inverted pendulum - Furuta pendulum. Solution for power electronics, sensors and coupling with PC is described, identification of parameters and nonlinear simulation model in Matlab/Simulink and SimMechanics toolbox is presented. Second type Lagrange equation is used for determination of equations of motion. Controll system based on state-space model of mechanism and LQR algorithm for design of state-space controller is used and switching between swing-up cotroller a stabilizing state-space control is achieved according to actual angular position of pendulum's angle. Input integrator eliminating steady state error was used with success.
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Design of laboratory model of Inverse Pendulum
Dušek, Jiří ; Grepl, Robert (referee) ; Šolc, František (advisor)
Purpose of this Bachelor’s thesis was to set matemathic laboratory model fixture of „Inverted penduluem“ togther, to verify it and on this base to create simulating model. Furthermore for this simulating model system to create way its controling in „stabilisation in upper instable location“ mode and in „crane during moving with the load“ mode. For operation in both modes was state-feedback regulator chosen and projected by method LQR, which was applied after that to real model of laboratory fixture. Realization of exsisting system was described and during using incremental rotary encoder and I/O card of new type was modernized. Further possibility of operation of carriage travel of pendulum by voltage supply was examined. Rotation version of laboratory model fixture was projected and alternative driving facilities were selected.
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