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Mathematical Programming Models for Optimal Control Problems
Dražka, Jan ; Mrázková, Eva (referee) ; Popela, Pavel (advisor)
This thesis deals with optimization of a vehicle’s (racing) drive on a track. The model of a vehicle and a track is built in this thesis. The first chapter is devoted to the fastest pass problem formulation. The problem optimizes (in the least time) the vehicle’s drive from a start line to a finish line. The problem is formulated as an optimal control theory problem. In the second chapter the optimal control theory problem is suitably discretised and transformed into a nonlinear programming problem. The transformation of the fastest pass problem into nonlinear programming problem, its detailed and illustrative derivation and reformulation form the main part of the thesis. Third chapter presents the implementation and solution of the problem using GAMS and MATLAB. This thesis is a part of a specific research project on which the author has participated. The main contribution of the author is an original formulation of the fastest pass problem as a nonlinear programming problem and its implementation and solving using GAMS.
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Mathematical Modelling of Vehicle Fuel Consumption
Dražka, Jan ; Novotný, Jan (referee) ; Popela, Pavel (advisor)
This bachelor’s thesis deals with a model building of vehlicle’s model based on real data and with a modelling of it’s movement and it’s fuel consumption. The thesis includes a preparation of input data as well as model building. The main aim of the thesis is the comparison among selected driving modes from the point of fuel consumption and it’s optimization. This comparison is simulated in MATLAB environement and GAMS with the use of selected optimization algorithms.
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Mathematical Programming Models for Optimal Control Problems
Dražka, Jan ; Mrázková, Eva (referee) ; Popela, Pavel (advisor)
This thesis deals with optimization of a vehicle’s (racing) drive on a track. The model of a vehicle and a track is built in this thesis. The first chapter is devoted to the fastest pass problem formulation. The problem optimizes (in the least time) the vehicle’s drive from a start line to a finish line. The problem is formulated as an optimal control theory problem. In the second chapter the optimal control theory problem is suitably discretised and transformed into a nonlinear programming problem. The transformation of the fastest pass problem into nonlinear programming problem, its detailed and illustrative derivation and reformulation form the main part of the thesis. Third chapter presents the implementation and solution of the problem using GAMS and MATLAB. This thesis is a part of a specific research project on which the author has participated. The main contribution of the author is an original formulation of the fastest pass problem as a nonlinear programming problem and its implementation and solving using GAMS.
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|
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Mathematical Modelling of Vehicle Fuel Consumption
Dražka, Jan ; Novotný, Jan (referee) ; Popela, Pavel (advisor)
This bachelor’s thesis deals with a model building of vehlicle’s model based on real data and with a modelling of it’s movement and it’s fuel consumption. The thesis includes a preparation of input data as well as model building. The main aim of the thesis is the comparison among selected driving modes from the point of fuel consumption and it’s optimization. This comparison is simulated in MATLAB environement and GAMS with the use of selected optimization algorithms.
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