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  • Mathematik  (3)
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  • Mathematik  (3)
  • 1
    Online-Ressource
    Online-Ressource
    Hindawi Limited ; 2015
    In:  Journal of Applied Mathematics Vol. 2015 ( 2015), p. 1-12
    In: Journal of Applied Mathematics, Hindawi Limited, Vol. 2015 ( 2015), p. 1-12
    Kurzfassung: This paper focuses on the problem of the adaptive image-based leader-follower formation control of mobile robot with on-board omnidirectional camera. A calibrated omnidirectional camera is fixed on the follower in any position, and a feature point representing the leader can be chosen in any position. An adaptive image-based controller without depending on the velocity of the leader is proposed based on a filter technology. In other words, only by relying on the projection of the feature on the image plane, can the follower track the leader and achieve the formation control. Moreover, an observer is introduced to estimate the unknown camera extrinsic parameters and the unknown parameters of plane, where the feature point moves, relative to omnidirectional camera frame. At last, the lyapunov method is applied to prove the uniform semiglobal practical asymptotic stability (USPAS) for the closed-loop system. Simulation results are presented to validate the algorithm.
    Materialart: Online-Ressource
    ISSN: 1110-757X , 1687-0042
    Sprache: Englisch
    Verlag: Hindawi Limited
    Publikationsdatum: 2015
    ZDB Id: 2578385-3
    SSG: 17,1
    Standort Signatur Einschränkungen Verfügbarkeit
    BibTip Andere fanden auch interessant ...
  • 2
    Online-Ressource
    Online-Ressource
    Mathematical Sciences Publishers ; 2013
    In:  Algebraic & Geometric Topology Vol. 13, No. 6 ( 2013-9-23), p. 3245-3260
    In: Algebraic & Geometric Topology, Mathematical Sciences Publishers, Vol. 13, No. 6 ( 2013-9-23), p. 3245-3260
    Materialart: Online-Ressource
    ISSN: 1472-2739 , 1472-2747
    URL: Issue
    Sprache: Englisch
    Verlag: Mathematical Sciences Publishers
    Publikationsdatum: 2013
    ZDB Id: 2037531-1
    SSG: 17,1
    Standort Signatur Einschränkungen Verfügbarkeit
    BibTip Andere fanden auch interessant ...
  • 3
    Online-Ressource
    Online-Ressource
    Hindawi Limited ; 2014
    In:  Journal of Applied Mathematics Vol. 2014 ( 2014), p. 1-10
    In: Journal of Applied Mathematics, Hindawi Limited, Vol. 2014 ( 2014), p. 1-10
    Kurzfassung: In the SLAM application, omnidirectional vision extracts wide scale information and more features from environments. Traditional algorithms bring enormous computational complexity to omnidirectional vision SLAM. An improved extended information filter SLAM algorithm based on omnidirectional vision is presented in this paper. Based on the analysis of structure a characteristics of the information matrix, this algorithm improves computational efficiency. Considering the characteristics of omnidirectional images, an improved sparsification rule is also proposed. The sparse observation information has been utilized and the strongest global correlation has been maintained. So the accuracy of the estimated result is ensured by using proper sparsification of the information matrix. Then, through the error analysis, the error caused by sparsification can be eliminated by a relocation method. The results of experiments show that this method makes full use of the characteristic of repeated observations for landmarks in omnidirectional vision and maintains great efficiency and high reliability in mapping and localization.
    Materialart: Online-Ressource
    ISSN: 1110-757X , 1687-0042
    Sprache: Englisch
    Verlag: Hindawi Limited
    Publikationsdatum: 2014
    ZDB Id: 2578385-3
    SSG: 17,1
    Standort Signatur Einschränkungen Verfügbarkeit
    BibTip Andere fanden auch interessant ...
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