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McRuer Models for Human-Machine Systems
Čelko, Jakub ; Jirgl, Miroslav (referee) ; Mihálik, Ondrej (advisor)
Bachelor’s thesis is focused on modelling of the human-machine systems using McRuer models, particularly systems formed by human operator and a steering wheel. The aim of the work is to design and measure the responses of the human operator in the regulation of different types of systems and different system forcing functions. Different steering wheel stiffness was also measured to find its influence on the speed and quality of the regulation. Results of this work are mathematical descriptions of the operator for the individual scenarios. The descriptions are expressed as transfer functions, with the operator being considered as linear time-invariant system.
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Application of Chebyshev Basis for Spectral Analysis
Ettl, Ondřej ; Jirgl, Miroslav (referee) ; Mihálik, Ondrej (advisor)
The work is focused on finding and verifying the basic properties of Chebyshev polynomials in Hilbert space. These include their generating functions, weight functions, orthogonality and recurrent relationships. Another goal was signal processing by Chebyshev’s transform and investigation of the resulting spectrum. Lastly the focus is shifted towards demostrain of two methods for modeling of frequency spectrum with help of Chebyshev polynomials.
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Modelling of a heat water exchanger and its regulation
Černík, Michal ; Kaczmarczyk, Václav (referee) ; Mihálik, Ondrej (advisor)
The thesis deals with the modelling of a hot water heat exchanger station and its control. It includes project documentation, with theoretical and practical part. The theoretical part is dealing with theoretical knowledge about every used element that is used in the design. The practical part deals with the implementation of the electrical wiring of the station, its connection with the control automaton, design of the mathematical model, simulation and design of the controller.
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Analysis of car drivers’ behaviour and driving style
Novik, Svatoslav ; Jirgl, Miroslav (referee) ; Mihálik, Ondrej (advisor)
Driving safety remains one of the important issues. Various assistance systems are also implemented, which focus mainly on the analysis of driving and control of the car by the driver. To understand the performance of the driver’s control, a program was created to obtain valuable data and relevant characteristics. To obtain the data, we used an internally designed, laboratory-made vehicle driving simulator. Driver data was measured from the motor vehicle driving simulation, and these were examined and evaluated in the MATLAB environment thanks to integral criteria and other calculated parameters. The obtained values were then used as a training set for the machine learning, using LDA and QDA methods (linear and quadratic discriminant analyzing). This method then provided information on which values are most appropriate and then determines as precisely as possible which driver may be involved in future measures, when this information is not stated in advance.
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Modelling and Assessment of Driver Behaviour Using Fuzzy Logic
Radvanský, Martin ; Mihálik, Ondrej (referee) ; Jirgl, Miroslav (advisor)
The work contains a research of mathematical modeling with a focus on the driver's behavior while driving. The following text contains the basic statistical processing of data obtained from the driving simulator for a total of 38 drivers. Subsequently, possible approaches to the use of fuzzy systems for modeling driver behavior are proposed. The main part of the work is focused on the verification of three hypotheses related to the use of fuzzy inference systems to model driver behavior.
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Demystifying Band-Limited Extrapolation
Mihálik, Ondrej
Extrapolation of band-limited signals gained scientific attention over the last 60 years. Thefamous methods: Gerchberg-Papoulis algorithm, Prolate spheroidal wave functions (PSWFs), andsinc interpolation—they all promise excellent results. But when it comes to their practical implementation,users may find themselves struggling with many unanswered questions. Especially PSWFsbecame viewed as mysterious. They are hard to compute and even harder to apply. In theory theypromise excellent extrapolation capabilities—something which is contrary to our intuition. This paradoxis resolved if we admit that the real-world data contain noise. In this paper we review the abovementionedmethods and try to provide a brief assessment of their capabilities by considering theeffects of noise and the length of signal observation.
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Reconstruction Of Non-Uniformly Sampled Signals Using Gerchberg-Papoulis Method
Mihálik, Ondrej
Analysis of non-uniformly sampled signals is often severely limited, since most signal processing methods rely on constant sampling period. If we still want to apply these methods, the signal must be resampled. Gerchberg-Papoulis algorithm is a method of signal reconstruction. It is commonly used for band-limited extrapolation of uniformly sampled data. We show that it is suitable for reconstruction of non-uniformly sampled signals as well. Our target application is reconstruction of time series measured by a car driving simulator. To demonstrate the benefits of band-limited reconstruction, we compare it with standard interpolation methods. The main advantage of the proposed algorithm is its ability to deal with noise and sampling jitter.
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Application of Legendre basis for spectral analysis
Mesárošová, Michaela ; Jirgl, Miroslav (referee) ; Mihálik, Ondrej (advisor)
The thesis focuses on the possibilities of using Legendre polynomials in order to obtain a spectrum of signals. It examines their properties in the time and frequency domain such as generating methods, root position, and orthogonality. Another goal was to implement the Legendre transform and to verify the quality of the obtained spectra and signal approximations in comparison with various methods. Finally, it deals with the choice of a suitable approximation order as well as the analytical possibilities of spectrum calculation.
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Accelerometer-based monitoring of steering wheel angle
Navrátil, Tadeáš ; Jirgl, Miroslav (referee) ; Mihálik, Ondrej (advisor)
This thesis deals with the design of a device which will be used for measuring the steering wheel angle. Main goal was to design basic concept of device which is using data gathered from three accelerometers in the reconstruction algorithm to get steering wheel angle. Discussion of various reconstruction algorithms (with regards to simulated output noise levels from acceleromater) and final Implementation of reconstruction algorithm (in MATLAB simulink enviroment) is also part of this thesis. Furthermore, thesis deals with the selection of suitable components. Mainly selection of accelerometers, microcontroller and the selection of a suitable communication bus for mutual communication between them. Thesis also deals with design improvements of algorithm and realization of the whole device. In the end, we compare results of measuring device and inner senzor of steering wheel.
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Band-Limited Signal Extrapolation Using Least Squares Approximation By Prolate Spheroidalwave Functions
Mihálik, Ondrej
This paper is concerned with the band-limited signal extrapolation using a truncated series of Prolate spheroidal wave functions. Our aim is to investigate the extent to which it is possible to extrapolate signal from its samples taken in a finite interval. It is often believed that this extrapolation method depends on computing definite integrals. We show an alternative approach by using the least squares method. We briefly discuss performance of these two methods in the presence of noise and the possibility of using this algorithm for real-time data processing. Finally the extrapolation algorithm is tested with real data from a microphone array.
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