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Continuous and discrete time attitude control of a vehicle
Najvarová, Lucie ; Nechvátal, Luděk (referee) ; Gennaro, Stefano Di (advisor)
Kontrola řízení vozidla se stala významným problémem v automatizačních aplikacích v automobilovém průmyslu. Ta se stala reálnou díky zavedení různých "by-wire" subsystémů, jako je např. "steer-by-wire," "break-by-wire," atd. Tyto subsystémy reprezentují elektronické ekvivalenty již existujících mechanických a hydraulických subsystémů. Především pak může být zavedeno číslicové řízení, určené na základě vzorkování dynamiky vozidla. Výhodou periodického snímání vstupních veličin je vyvarování se určitých poruch spojitého řízení.
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Algebraic criteria for stability of linear systems
Gáčová, Veronika ; Lacko, Branislav (referee) ; Dosoudilová, Monika (advisor)
This bachelor’s thesis deals with stability of linear systems and its assessment using especially algebraic criteria. The theoretical part is dedicated to description of control system, meaning of differential equations in the theory of transfer function and description of stability criteria. The main goal of the thesis is to compare difficulty of use of algebraic and frequency stability criteria on a specific example. In addition to this approach, we will be interested in stability of solution of corresponding homogenous differential equation too. Conclusions will be demonstrated using Matlab software.
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Application of the Laplace transoform and the homotopy perturbation method for the Burgers equation
Chaloupka, Tomáš ; Felcman, Jiří (advisor) ; Janovský, Vladimír (referee)
We use the homotopy perturbation method for solving different types of functional equations. The method is formulated in Introduction. Several types of functional equations are solved in Chapter one. In Chapter two, we define the Laplace transformation and combine it with the homotopy perturbation method in order to solve some differential equations. Last chapter is focused on attempts to find the solution of the Burgers equation with different initial conditions. For these conditions, we try to prove the existence of the solution or to find a suitable approximation of the solution. We compared the method with the method of characteristics. We investigate the behaviour of the homotopy perturbation method where method of characteristics doesn't exclude the existence of the classic solution. We discuss the practical application of the homotopy perturbation method to the Burgers equation.
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Algebraic criteria for stability of linear systems
Gáčová, Veronika ; Lacko, Branislav (referee) ; Dosoudilová, Monika (advisor)
This bachelor’s thesis deals with stability of linear systems and its assessment using especially algebraic criteria. The theoretical part is dedicated to description of control system, meaning of differential equations in the theory of transfer function and description of stability criteria. The main goal of the thesis is to compare difficulty of use of algebraic and frequency stability criteria on a specific example. In addition to this approach, we will be interested in stability of solution of corresponding homogenous differential equation too. Conclusions will be demonstrated using Matlab software.
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Application of the Laplace transoform and the homotopy perturbation method for the Burgers equation
Chaloupka, Tomáš ; Felcman, Jiří (advisor) ; Janovský, Vladimír (referee)
We use the homotopy perturbation method for solving different types of functional equations. The method is formulated in Introduction. Several types of functional equations are solved in Chapter one. In Chapter two, we define the Laplace transformation and combine it with the homotopy perturbation method in order to solve some differential equations. Last chapter is focused on attempts to find the solution of the Burgers equation with different initial conditions. For these conditions, we try to prove the existence of the solution or to find a suitable approximation of the solution. We compared the method with the method of characteristics. We investigate the behaviour of the homotopy perturbation method where method of characteristics doesn't exclude the existence of the classic solution. We discuss the practical application of the homotopy perturbation method to the Burgers equation.
|
|
|
Continuous and discrete time attitude control of a vehicle
Najvarová, Lucie ; Nechvátal, Luděk (referee) ; Gennaro, Stefano Di (advisor)
Kontrola řízení vozidla se stala významným problémem v automatizačních aplikacích v automobilovém průmyslu. Ta se stala reálnou díky zavedení různých "by-wire" subsystémů, jako je např. "steer-by-wire," "break-by-wire," atd. Tyto subsystémy reprezentují elektronické ekvivalenty již existujících mechanických a hydraulických subsystémů. Především pak může být zavedeno číslicové řízení, určené na základě vzorkování dynamiky vozidla. Výhodou periodického snímání vstupních veličin je vyvarování se určitých poruch spojitého řízení.
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