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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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Ladění parametrů LQG řízení pomocí evolučních metod
Marton, Filip ; Brablc, Martin (referee) ; Grepl, Robert (advisor)
This master thesis deals with the design of evolutionary algorithms to optimize LQG control of two laboratory models. It also deals with the creation of simplified models used to describe real models and with the subsequent estimation of their parameters. After this section it deals with optimization of control parameters with the use of simplified models, testing the control on laboratory models and summarizing the results of controlling the models.
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Quality Improvement Of Lqg Control Using H∞ Optimization
Friml, Dominik
This paper describes the method of using H¥ optimization for tweaking of the existing structured controller. This method is presented on an example of LQG controller for the classical problem of the inverted pendulum on a cart. This means, that it is applicable not only on controller problems, but also on observer problems.
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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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