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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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Modelling and control design of mechatronics systems on state-space
Ertl, Lukáš ; Hadaš, Zdeněk (referee) ; Houška, Pavel (advisor)
This work is concerned with modeling of simple mechatronic’s systems in state space and with designing their controls. In work is described a method for constructing the state model of direct current motor with programs MATLAB/SIMULINK and NI LabVIEW. There is designed the control for realized model and this control is verified in simulation. Later are model and its control, verified on real system.
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Vehicle speed estimation
Roštek, Martin ; Kumpán, Pavel (referee) ; Krejsa, Jiří (advisor)
Rýchlosť vozidla je jednou z kľúčových stavových premenných, ktorej znalosť je potrebná v reálnom čase a s vysokou presnosťou, aby mohla slúžiť ako vstupná veličina pre systémy kontroly dynamiky vozidla. Jej priame meranie vo vozidle je však finančne náročné. Riešením tohoto problému môže byť použitie meraní zo senzorov bežne dostupných na palube vozidla a ich následný prepočet na rýchlosť vozidla. Tieto merania sú však veľmi zaťažené procesným šumom, čo vyplýva z komplexnosti pohybu vozidla. Preto je nutné vyvinúť algoritmus so schopnosťou vysporiadať sa s týmito negatívnymi vplyvmi. Algoritmus prezentovaný v tejto práci odhaduje pozdĺžnu rýchlosť vozidla s použitím meraní uhlových rýchlostí štyroch kolies, pozdĺžnej akcelerácie, momentov motora, rýchlosti otáčania okolo zvislej osi a natočenia volantu. Algoritmus bol testovaný na veľkom počte situácií považovaných za kritické na odhad rýchlosti vozidla, ako napríklad prudká akcelerácia na vozovke s nízkym koeficientom trenia, núdzové brzdenie s aktiváciou ABS, či jazda v kopci s kolesami v preklze, prinášajúc uspokojujúce výsledky.
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Comparison of H-infinity and LQG controller
Friml, Dominik ; Blaha, Petr (referee) ; Pohl, Lukáš (advisor)
This thesis deals with the MIMO system analysis, with a comparison of a different frequency charactersitics, and including singular values characteristic. The H2 and H norms are defined for signals and a MIMO systems. A MIMO optimal control using an LQG, an H2 and an H control is defined and described. Their general advantages, disadvantages and similarities are summed up. An H2 and an H state controller and state observer synthesis is implemented in a MATLAB using linear matrix inequalities. Control of an inverted pendulum is designed using the H optimal cascade control, the H2 state control and the H state control. The results are compared with each other. The theoretical possibility of same H2 and H optimal state controller design is presented.
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Control of DC Servo Drive
Gerlich, Jan ; Blaha, Petr (referee) ; Václavek, Pavel (advisor)
This work deals with the proposal of cascade control of the DC servo motor. This work solve proposal of position regulators, angular velocity regulators and current regulators. Futhermore this work deals with the implementation of an algorithms of discrete PI and PID regulators on microprocessor.
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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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DC Drive Optimal Control
Regent, David ; Blaha, Petr (referee) ; Václavek, Pavel (advisor)
Master‘s thesis contains the issue of positional control of the separate exciting DC motor. In the work is the creation of mathematical model. Next theme of document are questions of optimal control and method of solution LQ controler. The work is also a proposal state observer.
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Optimization of the DC motor state space controller for FPGA
Maliszewski, Michal ; Kovář, Jiří (referee) ; Andrš, Ondřej (advisor)
This thesis deals with the optimization of state space controller of DC motor on FPGA in LabVIEW environment on NI cRIO platform. In the first part, the state space model of the given DC motor is presented in Matlab/Simulink and then the position feedback controller with steady-state error elimination and with state observer with error compen-sation using LQR method is designed. The thesis continues with transforming the con-troller to LabVIEW environment where the code is edited for FPGA use. Next, the fo-cus on FPGA hardware resources consumption optimization leads to careful work with fixed-point data type. After successful code compilation on target hardware, the real given DC motor is connected and the series of tests are performed. The output of the thesis is working state space controller running on FPGA and the graphical user inter-face on real-time host cRIO, which enables the user to control the plant and save the data on the disk.
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Comparison of H-infinity and LQG controller
Friml, Dominik ; Blaha, Petr (referee) ; Pohl, Lukáš (advisor)
This thesis deals with the MIMO system analysis, with a comparison of a different frequency charactersitics, and including singular values characteristic. The H2 and H norms are defined for signals and a MIMO systems. A MIMO optimal control using an LQG, an H2 and an H control is defined and described. Their general advantages, disadvantages and similarities are summed up. An H2 and an H state controller and state observer synthesis is implemented in a MATLAB using linear matrix inequalities. Control of an inverted pendulum is designed using the H optimal cascade control, the H2 state control and the H state control. The results are compared with each other. The theoretical possibility of same H2 and H optimal state controller design is presented.
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Vehicle speed estimation
Roštek, Martin ; Kumpán, Pavel (referee) ; Krejsa, Jiří (advisor)
Rýchlosť vozidla je jednou z kľúčových stavových premenných, ktorej znalosť je potrebná v reálnom čase a s vysokou presnosťou, aby mohla slúžiť ako vstupná veličina pre systémy kontroly dynamiky vozidla. Jej priame meranie vo vozidle je však finančne náročné. Riešením tohoto problému môže byť použitie meraní zo senzorov bežne dostupných na palube vozidla a ich následný prepočet na rýchlosť vozidla. Tieto merania sú však veľmi zaťažené procesným šumom, čo vyplýva z komplexnosti pohybu vozidla. Preto je nutné vyvinúť algoritmus so schopnosťou vysporiadať sa s týmito negatívnymi vplyvmi. Algoritmus prezentovaný v tejto práci odhaduje pozdĺžnu rýchlosť vozidla s použitím meraní uhlových rýchlostí štyroch kolies, pozdĺžnej akcelerácie, momentov motora, rýchlosti otáčania okolo zvislej osi a natočenia volantu. Algoritmus bol testovaný na veľkom počte situácií považovaných za kritické na odhad rýchlosti vozidla, ako napríklad prudká akcelerácia na vozovke s nízkym koeficientom trenia, núdzové brzdenie s aktiváciou ABS, či jazda v kopci s kolesami v preklze, prinášajúc uspokojujúce výsledky.
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