Optimal control of vehicle systems
<p>This thesis studies the optimal control of vehicular systems, focusing on the solution of minimum-lap-time problems for a Formula 1 car. The basic optimal control theory is summarised as an infinite-dimensional extension of optimisation theory. The relevant numerical techniques for optimisa...
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| Format: | Thesis |
| Language: | English |
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2013
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| _version_ | 1826292836577837056 |
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| author | Perantoni, G |
| author2 | Limebeer, D |
| author_facet | Limebeer, D Perantoni, G |
| author_sort | Perantoni, G |
| collection | OXFORD |
| description | <p>This thesis studies the optimal control of vehicular systems, focusing on the solution of minimum-lap-time problems for a Formula 1 car. The basic optimal control theory is summarised as an infinite-dimensional extension of optimisation theory. The relevant numerical techniques for optimisation and integral approximation are compared in view of the application to vehicle systems.</p> <p>The classical brachistochrone problem is revisited from an optimal control perspective, with two vehicle-relevant generalisations. Closed-form solutions are derived for both the optimal trajectory and transit time. Problems involving a steerable disc rolling on the interior surface of a hemisphere are studied. For three-dimensional problems of this type, which involve rolling bodies and nonholonomic constraints, numerical solutions are used.</p> <p>The identification of 3D race track models from measured GPS data is treated as a problem in the differential geometry of curves and surfaces. Curvilinear coordinates are adopted to facilitate optimal control solutions. The track is specified in terms of three displacement-dependent curvatures and two edge variables. The differential model is smoothed using numerical optimal control techniques. The Barcelona track is considered as an illustrative example.</p> <p>The minimum-lap-time problem for a Formula 1 car on a flat track is solved using direct transcription. The driven line and multiple car setup parameters are optimised simultaneously. It is shown that significant lap-time reductions can be obtained from track-specific setup parameter optimisation. Reduced computing times are achieved using a combination of analytical derivatives, model non-dimensionalisation and problem scaling.</p> <p>The optimal control of the car on a 3D track is studied; the results are compared with flat-track solutions. Contemporary kinetic energy-recovery systems are studied and compared with future hybrid kinetic-thermal energy-recovery systems. It is demonstrated that these systems can produce contemporary lap time using approximately two-thirds of the fuel required by present-day vehicles.</p> |
| first_indexed | 2024-03-07T03:20:50Z |
| format | Thesis |
| id | oxford-uuid:b75fa69c-ebe0-4812-98e9-984d93476d37 |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-07T03:20:50Z |
| publishDate | 2013 |
| record_format | dspace |
| spelling | oxford-uuid:b75fa69c-ebe0-4812-98e9-984d93476d372022-03-27T04:48:03ZOptimal control of vehicle systemsThesishttp://purl.org/coar/resource_type/c_db06uuid:b75fa69c-ebe0-4812-98e9-984d93476d37Control engineeringMechanical engineeringEnglishOxford University Research Archive - Valet2013Perantoni, GLimebeer, D<p>This thesis studies the optimal control of vehicular systems, focusing on the solution of minimum-lap-time problems for a Formula 1 car. The basic optimal control theory is summarised as an infinite-dimensional extension of optimisation theory. The relevant numerical techniques for optimisation and integral approximation are compared in view of the application to vehicle systems.</p> <p>The classical brachistochrone problem is revisited from an optimal control perspective, with two vehicle-relevant generalisations. Closed-form solutions are derived for both the optimal trajectory and transit time. Problems involving a steerable disc rolling on the interior surface of a hemisphere are studied. For three-dimensional problems of this type, which involve rolling bodies and nonholonomic constraints, numerical solutions are used.</p> <p>The identification of 3D race track models from measured GPS data is treated as a problem in the differential geometry of curves and surfaces. Curvilinear coordinates are adopted to facilitate optimal control solutions. The track is specified in terms of three displacement-dependent curvatures and two edge variables. The differential model is smoothed using numerical optimal control techniques. The Barcelona track is considered as an illustrative example.</p> <p>The minimum-lap-time problem for a Formula 1 car on a flat track is solved using direct transcription. The driven line and multiple car setup parameters are optimised simultaneously. It is shown that significant lap-time reductions can be obtained from track-specific setup parameter optimisation. Reduced computing times are achieved using a combination of analytical derivatives, model non-dimensionalisation and problem scaling.</p> <p>The optimal control of the car on a 3D track is studied; the results are compared with flat-track solutions. Contemporary kinetic energy-recovery systems are studied and compared with future hybrid kinetic-thermal energy-recovery systems. It is demonstrated that these systems can produce contemporary lap time using approximately two-thirds of the fuel required by present-day vehicles.</p> |
| spellingShingle | Control engineering Mechanical engineering Perantoni, G Optimal control of vehicle systems |
| title | Optimal control of vehicle systems |
| title_full | Optimal control of vehicle systems |
| title_fullStr | Optimal control of vehicle systems |
| title_full_unstemmed | Optimal control of vehicle systems |
| title_short | Optimal control of vehicle systems |
| title_sort | optimal control of vehicle systems |
| topic | Control engineering Mechanical engineering |
| work_keys_str_mv | AT perantonig optimalcontrolofvehiclesystems |