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Stability and controllability of the Z-143 airplane with a more powerful engine
Kochtík, Martin ; Matějů, Jiří (referee) ; Daněk, Vladimír (advisor)
The thesis deals with the calculation and evaluation of the flight characteristics of the aeroplane Z 143 with the power unit Lycoming AEIO-580-B1A. The first part of the text focuses on a general description of the aircraft, its geometric characteristics and calculation of mass and aerodynamic characteristics. In terms of flight performance there are compared the values for contemporary model and developmental aircraft with a more powerful engine. Another part of the work deals with the calculation of properties in terms of stability and manageability. In this section regards the determination of the results of the flight characteristics and their assessment of whether they comply. In the end I discuss the individual results and comment the possible recommendations on correction or improvement of these properties.
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Development of the aircraft control devices
Stanislav, Filip ; Zikmund, Pavel (referee) ; Daněk, Vladimír (advisor)
This bachelor thesis handles by literature research the development of airplane control devices since end of the 18th century. The principle of airplane control using three rotational degrees of freedom is known since beginning of 20th century, but there were many attempts to find this principle more than hundred years ago. The three axis control system was used for the first time by Wright brothers and has been used since then. The particular design of the airplane control surfaces is nowadays selected with regard to aerodynamical properties with requirements of minimum weight and adequate strength. An increasing control forces on control stick and pedals in airplane cocpit due to demanding requirements to maneuverability and speed of flight do not allow pilot comfortable and easy driving. Therefore it is necessary to influence this forces. In the text there are described possibilities of influencing them such as problems of feedback from control surfaces to pilot. This thesis gives a comprehensive overview of development of airplane control principles and gives the summary of classical and unconventional airplane control devices.
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Linear Matrix Differential Equation with Delay
Piddubna, Ganna Konstantinivna ; Růžičková, Miroslava (referee) ; Dzhalladova, Irada (referee) ; Baštinec, Jaromír (advisor)
V předložené práci se zabýváme hledáním řešení lineární diferenciální maticové rovnice se zpožděním x'(t)=A0x(t)+A1x(t-tau), kde A0, A1 jsou konstantní matice, tau>0 je konstantní zpoždění. Dále se zabýváme odvozením podmínek stability řešení systému a řiditelnosti daného systému. Pro řešení tohoto systému byla použita metoda "krok za krokem". Řešení bylo nalezeno jak v rekurentní formě tak i v obecném tvaru. Je provedena analýza stability a asymptotické stability řešení systému. Jsou zformulovány podmínky stability. Hlavní roli v analýze stability měla metoda Lyapunovových funkcionálů. Jsou zformulovány nutné a postačující podmínky řiditelnosti pro případ systémů se stejnými maticemi a je zkonstruována řídící funkce. Jsou odvozeny postačující podmínky pro řiditelnost v případě komutujících matic a v případě obecných matic a je sestrojena řídící funkce. Všechny výsledky jsou ilustrovány na netriviálních příkladech.
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Solutions of inverse problems in the area of material and heat exchangers
Kůdelová, Tereza ; Nechvátal, Luděk (referee) ; Čermák, Jan (advisor)
This master’s thesis deals with the dynamic behaviour of the heat exchangers which is described by a system of differential equations. In this connection, it contains general informations about heat transfer, heat exchangers and their arrangements. The main aim of this thesis is to solve the inverse problem of the antiparallel arrangement and discuss the question of the controllability, observability and identifiability of its parameters.
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Stability and controllability evaluation of the four-seater, single-engined airplane
Matějů, Jiří ; Zikmund, Pavel (referee) ; Daněk, Vladimír (advisor)
The diploma thesis deals with evaluation and suggestion of changes for the conceptual design of an airplane TL4000 in terms of stability and controllability. In the first part there are determined stability and controllability derivativations of the aircraft. Thereafter are estimated aircraft weight, moment of inertia and necessary geometric characteristics. In the second part there are calculated stability criteria for a sample case. In the third part, on the basis of this calculation, a program is created. This program combines the advantages of MS Excel, Matlab and Matlab Simulink. By means of this program criteria of stability and controllability were calculated parametrically for different regimes of flight, identified critical cases and compared with the requirements of CS-23rd. Based on this evaluation were recommanded modifications of the conceptual design TL4000.
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Hybrid dynamic systems- analysis and modeling
Holub, Libor ; Findura, Milan (referee) ; Vavřín, Petr (advisor)
In this thesis the issue with the description, modeling and analysis of hybrid dynamic systems is solved. The main goal is to select appropriate method for solving hybrid dynamic systems and to aim to question on solving controllability, observability and stability of these systems. Two types of hybrid systems are covered in this work. In the first part, the description and simulation of hybrid systems that are compiled of continous and discrete parts with the systems of discrete affair are specified. For the description and modeling of hybrid automata and hybrid Petri nets have been used. The possibilities mentioned above are showned on the simple examples. Second part of this work covers the description, modeling and analysis of hybrid systems that are compiled of links continous and discreate dynamic system. The state space has been used. The universal state equations are mentioned and have been used for the description of the hybrid system and the structure of the matrixes A, B, C, D. The relation and basic method are spin off for the analysis of hybrid dynamic systems. From the analysis point of view, these are general methods for the controllability, observability, stability and steady state of hybrid dynamic systems. The examples of hybrid control systems for mentioned methods are specified. If it is allowed, the results are verified by the simulation in MATLAB Simulink background.
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Dynamics of Snake Robots
Kubiena, Jaromír ; Doupovec, Miroslav (referee) ; Návrat, Aleš (advisor)
In this thesis, we deal with the mathematical description of the kinematics and the dynamics of mechanical systems. Then we focus on the particular mechanical system which is the Square robot with four legs with active joints and passive wheels, which moves on horizontal plane. The kinematics of the mechanical system is described by the control matrix, then we use it to express the equations of motion. We compute the dynamics the robot by using Lagrange equations. We verify that the mechanical system is nonholonomic constrained and we verify controllability by using Lie bracket and distribution. We find the singular postures of the robot.
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Solution of inverse problems in the area of material and heat exchangers
Kůdelová, Tereza ; Nechvátal, Luděk (referee) ; Čermák, Jan (advisor)
This bachelor's thesis deals with the dynamic behavior of heat exchangers which is described by the system of dierential equations. In this conection it includes a general information about necessary theoretical background especialy concerning heat transfer. Further, it mentions also the basic types of arrangement of heat exchangers that may occur in practice. The main goal is to answer the questions of controllability, observability and identifiability of the parameters obtained by solving corresponding inverse problem.
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