Skip to main content
Erschienen in: Intelligent Service Robotics 1/2018

02.12.2017 | Original Research Paper

Informed RRT* with improved converging rate by adopting wrapping procedure

verfasst von: Min-Cheol Kim, Jae-Bok Song

Erschienen in: Intelligent Service Robotics | Ausgabe 1/2018

Einloggen

Aktivieren Sie unsere intelligente Suche, um passende Fachinhalte oder Patente zu finden.

search-config
loading …

Abstract

Wrapping-based informed RRT*, proposed in this paper, combines a size-diminishing procedure, i.e., ‘wrapping procedure’ with informed RRT*, which samples random path nodes within a hyperellipsoid. The major and minor axes of the hyperellipsoid are determined by the initial and final configurations and current best solution’s path cost. Wrapping-based informed RRT* can advance from the first solution acquired by the planner to an improved, feasible solution which can drastically reduce the size of the hyperellipsoid. This leads to much quicker convergence to the optimal value of the path cost, resulting in the minimum action of the robot joints. The algorithm was tested in various environments with different numbers of joint variables and showed much better performance than the existing planners. Furthermore, the wrapping procedure proved to be a comparably insignificant computational burden regardless of the number of dimensions of the configuration space.

Sie haben noch keine Lizenz? Dann Informieren Sie sich jetzt über unsere Produkte:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

Anhänge
Nur mit Berechtigung zugänglich
Literatur
1.
Zurück zum Zitat Faverjon B, Tournassoud P (1987) A local based approach for path planning of manipulators with a high number of degrees of freedom. In: IEEE international conference on robotics and automation, pp 1152–1159 Faverjon B, Tournassoud P (1987) A local based approach for path planning of manipulators with a high number of degrees of freedom. In: IEEE international conference on robotics and automation, pp 1152–1159
2.
Zurück zum Zitat Schwartz JT, Sharir M (1983) On the “Piano movers” problem. II. General techniques for computing topological properties of real algebraic manifolds. Adv Appl Math 4(3):298–351MathSciNetCrossRefMATH Schwartz JT, Sharir M (1983) On the “Piano movers” problem. II. General techniques for computing topological properties of real algebraic manifolds. Adv Appl Math 4(3):298–351MathSciNetCrossRefMATH
3.
Zurück zum Zitat Gammell JD, Srinivasa SS, Barfoot TD (2015) Batch informed trees (BIT*): sampling-based optimal planning via the heuristically guided search of implicit random geometric graphs. In: IEEE proceedings of the international conference on robotics and automation 2015, pp 3067–3074 Gammell JD, Srinivasa SS, Barfoot TD (2015) Batch informed trees (BIT*): sampling-based optimal planning via the heuristically guided search of implicit random geometric graphs. In: IEEE proceedings of the international conference on robotics and automation 2015, pp 3067–3074
5.
Zurück zum Zitat Tolani D, Goswami A, Badler NI (2000) Real-time inverse kinematics techniques for anthropomorphic limbs. Graph Models 2000 62(5):353–388CrossRefMATH Tolani D, Goswami A, Badler NI (2000) Real-time inverse kinematics techniques for anthropomorphic limbs. Graph Models 2000 62(5):353–388CrossRefMATH
6.
Zurück zum Zitat Rickert M, Brock O, Knoll A (2008) Balancing exploration and exploitation in motion planning. In: IEEE proceedings of the international conference on robotics and automation 2008, pp 2812–2817 Rickert M, Brock O, Knoll A (2008) Balancing exploration and exploitation in motion planning. In: IEEE proceedings of the international conference on robotics and automation 2008, pp 2812–2817
7.
Zurück zum Zitat Kavraki LE, Svestka P, Latombe JC (1996) Probabilistic roadmaps for path planning in high-dimensional configuration spaces. IEEE Trans Robot Autom 1996 12(4):566–580CrossRef Kavraki LE, Svestka P, Latombe JC (1996) Probabilistic roadmaps for path planning in high-dimensional configuration spaces. IEEE Trans Robot Autom 1996 12(4):566–580CrossRef
8.
Zurück zum Zitat Lozano-Perez T (1987) A simple motion-planning algorithm for general robot manipulators. IEEE J Robot Autom 1987 3(3):224–238CrossRef Lozano-Perez T (1987) A simple motion-planning algorithm for general robot manipulators. IEEE J Robot Autom 1987 3(3):224–238CrossRef
9.
Zurück zum Zitat Janson L, Schmerling E, Clark A, Pavone M (2015) Fast marching tree: a fast marching sampling-based method for optimal motion planning in many dimensions. Int J Robot Res 34(7):883–921CrossRef Janson L, Schmerling E, Clark A, Pavone M (2015) Fast marching tree: a fast marching sampling-based method for optimal motion planning in many dimensions. Int J Robot Res 34(7):883–921CrossRef
10.
Zurück zum Zitat Richter C, Bry A, Roy N (2016) Polynomial trajectory planning for aggressive quadrotor flight in dense indoor environments. In: The 16th international symposium on robotics research, vol 14, pp 649–666 Richter C, Bry A, Roy N (2016) Polynomial trajectory planning for aggressive quadrotor flight in dense indoor environments. In: The 16th international symposium on robotics research, vol 14, pp 649–666
11.
Zurück zum Zitat Kuffner JJ, Lavalle SM (2000) RRT-connect: an efficient approach to single-query path planning. In: IEEE proceedings of the international conference on robotics and automation 2000, vol 2, pp 995–1001 Kuffner JJ, Lavalle SM (2000) RRT-connect: an efficient approach to single-query path planning. In: IEEE proceedings of the international conference on robotics and automation 2000, vol 2, pp 995–1001
13.
Zurück zum Zitat Khan A et al (2017) Online complete coverage path planning using two-way proximity search. Intel Serv Robot 10(3):229–240CrossRef Khan A et al (2017) Online complete coverage path planning using two-way proximity search. Intel Serv Robot 10(3):229–240CrossRef
14.
Zurück zum Zitat Noreen I, Khan A, Habib Z (2016) A comparison of RRT, RRT* and RRT*—smart path planning algorithms. Int J Comput Sci Netw Secur (IJCSNS) 16(10):20–27 Noreen I, Khan A, Habib Z (2016) A comparison of RRT, RRT* and RRT*—smart path planning algorithms. Int J Comput Sci Netw Secur (IJCSNS) 16(10):20–27
15.
Zurück zum Zitat Khan A, Noreen I, Habib Z (2017) On complete coverage path planning algorithms for non-holonomic mobile robots: survey and challenges. J Inf Sci Eng 33(1):101–121MathSciNet Khan A, Noreen I, Habib Z (2017) On complete coverage path planning algorithms for non-holonomic mobile robots: survey and challenges. J Inf Sci Eng 33(1):101–121MathSciNet
16.
Zurück zum Zitat Karaman S, Frazzoli E (2011) Sampling-based algorithms for optimal motion planning. Int J Robot Res 2011 30(7):846–894CrossRefMATH Karaman S, Frazzoli E (2011) Sampling-based algorithms for optimal motion planning. Int J Robot Res 2011 30(7):846–894CrossRefMATH
17.
Zurück zum Zitat Yershova A, Jaillet L, Simeon T (2005) Dynamic-domain RRTs: efficient exploration by controlling the sampling domain. In: IEEE proceedings of the international conference on robotics and automation 2005, pp 3856–3861 Yershova A, Jaillet L, Simeon T (2005) Dynamic-domain RRTs: efficient exploration by controlling the sampling domain. In: IEEE proceedings of the international conference on robotics and automation 2005, pp 3856–3861
18.
Zurück zum Zitat Solovey K, Salzman O, Halperin D (2016) Finding a needle in an exponential haystack; discrete RRT for exploration of implicit roadmaps in multi-robot motion planning. Int J Robot Res 35:501–513CrossRef Solovey K, Salzman O, Halperin D (2016) Finding a needle in an exponential haystack; discrete RRT for exploration of implicit roadmaps in multi-robot motion planning. Int J Robot Res 35:501–513CrossRef
19.
Zurück zum Zitat Gammell JD, Srinivasa SS, Barfoot TD (2014) Informed RRT*: optimal incremental path planning focused through an admissible ellipsoidal heuristic. In: IEEE/RSJ international conference on intelligent robots and systems, pp 2997–3004 Gammell JD, Srinivasa SS, Barfoot TD (2014) Informed RRT*: optimal incremental path planning focused through an admissible ellipsoidal heuristic. In: IEEE/RSJ international conference on intelligent robots and systems, pp 2997–3004
20.
Zurück zum Zitat Islam F, Nasir J, Malik U, Ayaz Y (2012) RRT*-smart: rapid convergence implementation of RRT* towards optimal solution. In: IEEE international conference on mechatronics and automation 2012, pp 1651–1656 Islam F, Nasir J, Malik U, Ayaz Y (2012) RRT*-smart: rapid convergence implementation of RRT* towards optimal solution. In: IEEE international conference on mechatronics and automation 2012, pp 1651–1656
21.
Zurück zum Zitat Geraerts R, Overmars MH (2007) Creating high-quality paths for motion planning. Int J Robot Res 26(8):845–863CrossRef Geraerts R, Overmars MH (2007) Creating high-quality paths for motion planning. Int J Robot Res 26(8):845–863CrossRef
22.
Zurück zum Zitat Perez A, Karaman S, Shkolnik A, Frazzoli E, Teller S, Walter MR (2011) Asymptotically-optimal path planning for manipulation using incremental sampling-based algorithms. In: IEEE/RSJ international conference on intelligent robots and systems, pp 4307–4313 Perez A, Karaman S, Shkolnik A, Frazzoli E, Teller S, Walter MR (2011) Asymptotically-optimal path planning for manipulation using incremental sampling-based algorithms. In: IEEE/RSJ international conference on intelligent robots and systems, pp 4307–4313
Metadaten
Titel
Informed RRT* with improved converging rate by adopting wrapping procedure
verfasst von
Min-Cheol Kim
Jae-Bok Song
Publikationsdatum
02.12.2017
Verlag
Springer Berlin Heidelberg
Erschienen in
Intelligent Service Robotics / Ausgabe 1/2018
Print ISSN: 1861-2776
Elektronische ISSN: 1861-2784
DOI
https://doi.org/10.1007/s11370-017-0242-9

Weitere Artikel der Ausgabe 1/2018

Intelligent Service Robotics 1/2018 Zur Ausgabe

Neuer Inhalt