Calculation of Optimal Path for Parallel Car Parking

Viktor Zadachyn; Oleksandr Dorokhov

doi:10.2478/v10244-012-0026-4

.blurhash-client-img { display: none !important; }

Calculation of Optimal Path for Parallel Car Parking

Transport and Telecommunication Journal

Volume 13 (2012): Issue 4 (December 2012)

By: Viktor Zadachyn and Oleksandr Dorokhov

Open Access

|Dec 2012

Abstract

The problem of calculation of optimal path for reverse parallel parking is examined. Elementary mathematical model of car movement on plane is described. Optimality criterion and restriction on a possible path for parallel parking are formulated. It is offered a way of choice of a quasi-optimal path for reverse parallel parking. Corresponding numerical calculations and graphic example are presented.

References

1. Mellodge, P. (2002). Feedback control for a path following robotic car. M.Sc. Thesis (128 p.). Blacksburg University of Virginia, Virginia, USA.
Search in Google Scholar
2. Mokin, O. B., Mokin, B. I. (2009). A mathematical model of two-axle vehicle in the task of controlling over its movement with absence of detour and overtaking. In Scientific works of VinnytsiaNational Technical University, No 4, (pp. 1-5). Vinnytsia: VNTU Press
Search in Google Scholar
3. Jiang, W., Canudas-de-Wit, C., Sename, O., Dumon, J. (2011). A new mathematical model for car drivers with spatial preview. In Proceedings of the 18th IFAC World Congress, 2011 (pp. 1139-1144). Retrieved December 5, 2011, from http://www.nt.ntnu.no/users/skoge/prost/proceedings/ifac11- proceedings/data/html/papers/2634.pdf10.3182/20110828-6-IT-1002.02634
Search in Google Scholar
4. Krasniqi, F., Likaj, R., Shala, A., Krasniqi, V. (2011). Mathematical and computer model of the car driver in a bumpy road. In Proceedings of the 15th International Research/Expert Conference “Trends in the Development of Machinery and Associated Technology” TMT, 2011 (pp. 525-528). Retrieved December 5, 2011, from http://www.tmt.unze.ba/zbornik/TMT2011/123-TMT11-187.pdf
Search in Google Scholar
5. Bouchner, P., Novotny, S. (2011). Car dynamics model - design for interactive driving simulation use. In Proceedings of the 2nd International Conference on Applied Informatics and Computing Theory, 2011 (pp. 285-289). December 5, 2011, from http://www.wseas.us/e-library/ conferences/2011/Prague/AICT/AICT-00.pdf
Search in Google Scholar
6. Awachie, F., Lian, L., Wang, N. (2011). Design Project: Automatic Parallel Parking System. In ECE1635H: Modern Control Theory in Special Topic, (pp. 2-23). December 5, 2011, from http://www.scribd.com/doc/86396656/Automatic-Parallel-Parking-System-Report
Search in Google Scholar
7. Chen-Kui Lee, Chun-Liang Lin, Bing-Min Shiu (2009). Autonomous vehicle parking using artificial intelligent approach. Journal of Intelligent and Robotic Systems: Theory and Applications, No 56 (pp. 319-343). The Netherlands: Kluwer Academic Publishers.
Search in Google Scholar
8. Alekseev, V. М., Tikhomirov, V. M., Fomin, S. V. (1979). Optimal control (223 p.). Moscow: Science. (In Russian)
Search in Google Scholar
9. Bertsekas, D. P. (1982). Constrained Optimization and Lagrange Multiplier Methods (395 p.). New York: Academic Press.
Search in Google Scholar

Articles in this issue

DOI: https://doi.org/10.2478/v10244-012-0026-4 | Journal eISSN: 1407-6179 | Journal ISSN: 1407-6160

Journal RSS Feed

Language: English

Page range: 303 - 309

Published on: Dec 4, 2012

Published by: Transport and Telecommunication Institute

In partnership with: Paradigm Publishing Services

Publication frequency: 4 issues per year

Keywords:

parking a car,

mathematical model,

system of differential equations,

Cauchy problem,

conditional optimisation

Related subjects:

Engineering,

Introductions and overviews,

Engineering, other

© 2012 Viktor Zadachyn, Oleksandr Dorokhov, published by Transport and Telecommunication Institute
This work is licensed under the Creative Commons License.

Volume 13 (2012): Issue 4 (December 2012)