IDEAS home Printed from https://ideas.repec.org/a/eee/matcom/v79y2009i7p2211-2226.html
   My bibliography  Save this article

On the design of an obstacle avoiding trajectory: Method and simulation

Author

Listed:
  • Pozna, Claudiu
  • Troester, Fritz
  • Precup, Radu-Emil
  • Tar, József K.
  • Preitl, Stefan

Abstract

The paper suggests a new mathematical construction for the potential field used in the design of obstacle avoiding trajectories. The main benefits of the proposed construction are the quickness of minimum computation and the compensation for the main drawbacks specific to the “traditional approaches” belonging to the potential field method in general. The potential field definition and its minimum computation concept are presented. Next the concept is included in a design method for obstacle avoiding trajectories. The method is expressed in the form of an algorithm for obstacle avoidance. In the following step a state-space controller is designed in order to control the car along that trajectory. Digital simulation results obtained for the complete dynamic model of a car well validate the method.

Suggested Citation

  • Pozna, Claudiu & Troester, Fritz & Precup, Radu-Emil & Tar, József K. & Preitl, Stefan, 2009. "On the design of an obstacle avoiding trajectory: Method and simulation," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 79(7), pages 2211-2226.
  • Handle: RePEc:eee:matcom:v:79:y:2009:i:7:p:2211-2226
    DOI: 10.1016/j.matcom.2008.12.015
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378475408004217
    Download Restriction: Full text for ScienceDirect subscribers only

    File URL: https://libkey.io/10.1016/j.matcom.2008.12.015?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Tlustý, Josef & Santarius, Pavel & Valouch, Viktor & Škramlík, Jiří, 2006. "Optimal control of shunt active power filters in multibus industrial power systems for harmonic voltage mitigation," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 71(4), pages 369-376.
    2. Maamri, N. & Bachelier, O. & Mehdi, D., 2006. "Pole placement in a union of regions with prespecified subregion allocation," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 72(1), pages 38-46.
    3. Lee, Wah Soon & Rao, Machavaram Venkata Calapathy, 2006. "Modeling and design of tape transport mechanism," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 72(1), pages 26-37.
    4. Triandaf, Ioana & Schwartz, Ira B., 2005. "A collective motion algorithm for tracking time-dependent boundaries," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 70(4), pages 187-202.
    5. Gruyitch, Lyubomir T. & Mounfield, William Pratt, 2008. "Stablewise absolute output natural tracking control with finite reachability time: MIMO Lurie systems," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 76(5), pages 330-344.
    6. Egidi, Nadaniela & Maponi, Pierluigi, 2008. "Block decomposition techniques in the generation of adaptive grids," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 78(5), pages 593-604.
    7. Pryymak, Bogdan & Moreno-Eguilaz, Juan M. & Peracaula, Juan, 2006. "Neural network flux optimization using a model of losses in induction motor drives," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 71(4), pages 290-298.
    8. Bouzaouache, Hajer & Braiek, Naceur Benhadj, 2008. "On the stability analysis of nonlinear systems using polynomial Lyapunov functions," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 76(5), pages 316-329.
    9. Pérez, Laura V. & Bossio, Guillermo R. & Moitre, Diego & García, Guillermo O., 2006. "Optimization of power management in an hybrid electric vehicle using dynamic programming," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 73(1), pages 244-254.
    10. Guesmi, K. & Essounbouli, N. & Hamzaoui, A. & Zaytoon, J. & Manamanni, N., 2008. "Shifting nonlinear phenomena in a DC–DC converter using a fuzzy logic controller," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 76(5), pages 398-409.
    11. Botmart, Thongchai & Niamsup, Piyapong, 2007. "Adaptive control and synchronization of the perturbed Chua’s system," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 75(1), pages 37-55.
    12. Pang, Guoping & Chen, Lansun, 2008. "Dynamic analysis of a pest-epidemic model with impulsive control," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 79(1), pages 72-84.
    13. Assawinchaichote, Wudhichai & Nguang, Sing Kiong & Shi, Peng & Boukas, El-Kébir, 2008. "H∞ fuzzy state-feedback control design for nonlinear systems with D-stability constraints: An LMI approach," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 78(4), pages 514-531.
    14. Gui, Zhanji & Yang, Xiao-Song & Ge, Weigao, 2008. "Existence and global exponential stability of periodic solutions of recurrent cellular neural networks with impulses and delays," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 79(1), pages 14-29.
    15. Jahangirian, A. & Shoraka, Y., 2008. "Adaptive unstructured grid generation for engineering computation of aerodynamic flows," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 78(5), pages 627-644.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Bảo-Huy Nguyễn & João Pedro F. Trovão & Ronan German & Alain Bouscayrol, 2020. "Real-Time Energy Management of Parallel Hybrid Electric Vehicles Using Linear Quadratic Regulation," Energies, MDPI, vol. 13(21), pages 1-19, October.
    2. Jiajun Liu & Tianxu Jin & Li Liu & Yajue Chen & Kun Yuan, 2017. "Multi-Objective Optimization of a Hybrid ESS Based on Optimal Energy Management Strategy for LHDs," Sustainability, MDPI, vol. 9(10), pages 1-18, October.
    3. Penghui Qiang & Peng Wu & Tao Pan & Huaiquan Zang, 2021. "Real-Time Approximate Equivalent Consumption Minimization Strategy Based on the Single-Shaft Parallel Hybrid Powertrain," Energies, MDPI, vol. 14(23), pages 1-22, November.
    4. Bedatri Moulik & Dirk Söffker, 2015. "Optimal Rule-Based Power Management for Online, Real-Time Applications in HEVs with Multiple Sources and Objectives: A Review," Energies, MDPI, vol. 8(9), pages 1-15, August.
    5. Enang, Wisdom & Bannister, Chris, 2017. "Modelling and control of hybrid electric vehicles (A comprehensive review)," Renewable and Sustainable Energy Reviews, Elsevier, vol. 74(C), pages 1210-1239.
    6. Sun, Chao & Sun, Fengchun & He, Hongwen, 2017. "Investigating adaptive-ECMS with velocity forecast ability for hybrid electric vehicles," Applied Energy, Elsevier, vol. 185(P2), pages 1644-1653.
    7. Tobias Nüesch & Philipp Elbert & Michael Flankl & Christopher Onder & Lino Guzzella, 2014. "Convex Optimization for the Energy Management of Hybrid Electric Vehicles Considering Engine Start and Gearshift Costs," Energies, MDPI, vol. 7(2), pages 1-23, February.
    8. Chaoying Xia & Cong Zhang, 2015. "Power Management Strategy of Hybrid Electric Vehicles Based on Quadratic Performance Index," Energies, MDPI, vol. 8(11), pages 1-16, November.
    9. Constantijn Romijn & Tijs Donkers & John Kessels & Siep Weiland, 2017. "Real-Time Distributed Economic Model Predictive Control for Complete Vehicle Energy Management," Energies, MDPI, vol. 10(8), pages 1-28, July.
    10. Tian, Xiang & Cai, Yingfeng & Sun, Xiaodong & Zhu, Zhen & Xu, Yiqiang, 2019. "An adaptive ECMS with driving style recognition for energy optimization of parallel hybrid electric buses," Energy, Elsevier, vol. 189(C).
    11. Ruan, Shumin & Ma, Yue & Yang, Ningkang & Xiang, Changle & Li, Xunming, 2022. "Real-time energy-saving control for HEVs in car-following scenario with a double explicit MPC approach," Energy, Elsevier, vol. 247(C).
    12. Zhang, Shuo & Xiong, Rui & Zhang, Chengning, 2015. "Pontryagin’s Minimum Principle-based power management of a dual-motor-driven electric bus," Applied Energy, Elsevier, vol. 159(C), pages 370-380.
    13. Sari, B. & Bachelier, O. & Bosche, J. & Maamri, N. & Mehdi, D., 2011. "Pole placement in non connected regions for descriptor models," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 81(12), pages 2617-2631.
    14. Gavagsaz-Ghoachani, R. & Phattanasak, M. & Martin, J.-P. & Pierfederici, S. & Davat, B., 2013. "Predicting the onset of bifurcation and stability study of a hybrid current controller for a boost converter," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 91(C), pages 262-273.
    15. Chen, Zeyu & Xiong, Rui & Cao, Jiayi, 2016. "Particle swarm optimization-based optimal power management of plug-in hybrid electric vehicles considering uncertain driving conditions," Energy, Elsevier, vol. 96(C), pages 197-208.
    16. Salarieh, Hassan & Alasty, Aria, 2008. "Adaptive chaos synchronization in Chua's systems with noisy parameters," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 79(3), pages 233-241.
    17. Xu, Bin & Rathod, Dhruvang & Zhang, Darui & Yebi, Adamu & Zhang, Xueyu & Li, Xiaoya & Filipi, Zoran, 2020. "Parametric study on reinforcement learning optimized energy management strategy for a hybrid electric vehicle," Applied Energy, Elsevier, vol. 259(C).
    18. Pérez, Laura V. & Pilotta, Elvio A., 2009. "Optimal power split in a hybrid electric vehicle using direct transcription of an optimal control problem," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 79(6), pages 1959-1970.
    19. Tran, Dai-Duong & Vafaeipour, Majid & El Baghdadi, Mohamed & Barrero, Ricardo & Van Mierlo, Joeri & Hegazy, Omar, 2020. "Thorough state-of-the-art analysis of electric and hybrid vehicle powertrains: Topologies and integrated energy management strategies," Renewable and Sustainable Energy Reviews, Elsevier, vol. 119(C).
    20. Lee, S.H. & Park, M.J. & Kwon, O.M. & Sakthivel, R., 2016. "Master-slave synchronization for nonlinear systems via reliable control with gaussian stochastic process," Applied Mathematics and Computation, Elsevier, vol. 290(C), pages 439-459.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:matcom:v:79:y:2009:i:7:p:2211-2226. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.journals.elsevier.com/mathematics-and-computers-in-simulation/ .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.