Skip to main content
Erschienen in: Autonomous Robots 3-4/2020

04.02.2019

Adaptive target tracking with a mixed team of static and mobile guards: deployment and activation strategies

verfasst von: Guillermo J. Laguna, Sourabh Bhattacharya

Erschienen in: Autonomous Robots | Ausgabe 3-4/2020

Einloggen

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

search-config
loading …

Abstract

This work explores a variation of the art gallery problem in which a team of static and mobile guards track a mobile intruder with unknown maximum speed. We consider the special case when the mobile guards are restricted to move along the diagonals of a polygonal environment. First, we present an algorithm to identify candidate vertices in a polygon at which either static guards can be placed or they can serve as an endpoint of the segment on which mobile guards move. Next, we present a technique to partition the environment based on the triangulation of the environment, and allocate guards to each partition to track the intruder. The allocation strategy leads to a classification of the mobile guards based on their task and coordination requirements. Finally, we present a strategy to activate/deactivate static guards based on the speed of the intruder. Simulation results are presented to validate the efficacy of the proposed techniques.

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!

Fußnoten
1
In a triangulation graph all the faces are triangles.
 
2
A triangulation graph G is said to be dominated by a set of vertices\(S_c\) if at least one vertex of each triangle in T(G) is a vertex in \(S_c\).
 
3
A triangulation graph G is said to be dominated by a set of diagonals\(S_h\) if at least one vertex of each triangle in T(G) is an endpoint of a diagonal in \(S_h\).
 
4
A diagonal is said to be incident to a vertex if the vertex is an endpoint of the diagonal.
 
5
We say that a guard \(g_k \in S_g\backslash \{g_i\}\) is a neighbor of \(g_i\) if \(T(i) \cap T(k) \ne \emptyset \).
 
Literatur
Zurück zum Zitat Aghajan, H., & Cavallaro, A. (2009). Multi-camera networks: Principles and applications. Cambridge: Academic Press. Aghajan, H., & Cavallaro, A. (2009). Multi-camera networks: Principles and applications. Cambridge: Academic Press.
Zurück zum Zitat Baraniuk, R. G. (2011). More is less: Signal processing and the data deluge. Science, 331(6018), 717–719.CrossRef Baraniuk, R. G. (2011). More is less: Signal processing and the data deluge. Science, 331(6018), 717–719.CrossRef
Zurück zum Zitat Başar, T., & Bernhard, P. (2008). H-infinity optimal control and related minimax design problems: A dynamic game approach. New York: Springer.CrossRef Başar, T., & Bernhard, P. (2008). H-infinity optimal control and related minimax design problems: A dynamic game approach. New York: Springer.CrossRef
Zurück zum Zitat Berg, M., Cheong, O., Kreveld, M., & Overmars, M. (2008). Computational geometry: Algorithms and applications (3rd ed.). Santa Clara, CA: Springer.CrossRef Berg, M., Cheong, O., Kreveld, M., & Overmars, M. (2008). Computational geometry: Algorithms and applications (3rd ed.). Santa Clara, CA: Springer.CrossRef
Zurück zum Zitat Bhattacharya, S., Baar, T., & Falcone, M. (2014). Numerical approximation for a visibility based pursuit-evasion game. In Proceedings of IEEE/RSJ international conference on intelligent robots and systems (pp. 68–75). Bhattacharya, S., Baar, T., & Falcone, M. (2014). Numerical approximation for a visibility based pursuit-evasion game. In Proceedings of IEEE/RSJ international conference on intelligent robots and systems (pp. 68–75).
Zurück zum Zitat Bhattacharya, S., & Hutchinson, S. (2010). On the existence of Nash equilibrium for a two-player pursuit-evasion game with visibility constraints. The International Journal of Robotics Research, 29(7), 831–839.CrossRef Bhattacharya, S., & Hutchinson, S. (2010). On the existence of Nash equilibrium for a two-player pursuit-evasion game with visibility constraints. The International Journal of Robotics Research, 29(7), 831–839.CrossRef
Zurück zum Zitat Bhattacharya, S., & Hutchinson, S. (2011). A cell decomposition approach to visibility-based pursuit evasion among obstacles. The International Journal of Robotics Research, 30(14), 1709–1727.CrossRef Bhattacharya, S., & Hutchinson, S. (2011). A cell decomposition approach to visibility-based pursuit evasion among obstacles. The International Journal of Robotics Research, 30(14), 1709–1727.CrossRef
Zurück zum Zitat Bhatti, S., & Xu, J. (2009). Survey of target tracking protocols using wireless sensor network. In Proceedings of fifth international conference on wireless and mobile communications (pp. 110–115). Bhatti, S., & Xu, J. (2009). Survey of target tracking protocols using wireless sensor network. In Proceedings of fifth international conference on wireless and mobile communications (pp. 110–115).
Zurück zum Zitat Chen, Y., Zhao, Q., Krishnamurthy, V., & Djonin, D. (2007). Transmission scheduling for optimizing sensor network lifetime: A stochastic shortest path approach. IEEE Transactions on Signal Processing, 55(5), 2294–2309.MathSciNetCrossRef Chen, Y., Zhao, Q., Krishnamurthy, V., & Djonin, D. (2007). Transmission scheduling for optimizing sensor network lifetime: A stochastic shortest path approach. IEEE Transactions on Signal Processing, 55(5), 2294–2309.MathSciNetCrossRef
Zurück zum Zitat Chvatal, V. (1975). A combinatorial theorem in plane geometry. Journal of Combinatorial Theory Series B, 18, 39–41.MathSciNetCrossRef Chvatal, V. (1975). A combinatorial theorem in plane geometry. Journal of Combinatorial Theory Series B, 18, 39–41.MathSciNetCrossRef
Zurück zum Zitat Deng, J., Han, Y. S., Heinzelman, W. B., & Varshney, P. K. (2005). Scheduling sleeping nodes in high density cluster-based sensor networks. Mobile Networks and Applications, 10(6), 825–835.CrossRef Deng, J., Han, Y. S., Heinzelman, W. B., & Varshney, P. K. (2005). Scheduling sleeping nodes in high density cluster-based sensor networks. Mobile Networks and Applications, 10(6), 825–835.CrossRef
Zurück zum Zitat Durocher, S., & Mehrabi, S. (2013). Guarding orthogonal art galleries using sliding cameras: Algorithmic and hardness results. In K. Chatterjee & J. Sgall (Eds.), Mathematical foundations of computer science 2013 (pp. 314–324). Berlin: Springer.CrossRef Durocher, S., & Mehrabi, S. (2013). Guarding orthogonal art galleries using sliding cameras: Algorithmic and hardness results. In K. Chatterjee & J. Sgall (Eds.), Mathematical foundations of computer science 2013 (pp. 314–324). Berlin: Springer.CrossRef
Zurück zum Zitat Hausman, K., Müller, J., Hariharan, A., Ayanian, N., & Sukhatme, G. S. (2015). Cooperative multi-robot control for target tracking with onboard sensing. The International Journal of Robotics Research, 34(13), 1660–1677.CrossRef Hausman, K., Müller, J., Hariharan, A., Ayanian, N., & Sukhatme, G. S. (2015). Cooperative multi-robot control for target tracking with onboard sensing. The International Journal of Robotics Research, 34(13), 1660–1677.CrossRef
Zurück zum Zitat He, Y., & Chong, E. K. (2006). Sensor scheduling for target tracking: A Monte Carlo sampling approach. Digital Signal Processing, 16(5), 533–545.CrossRef He, Y., & Chong, E. K. (2006). Sensor scheduling for target tracking: A Monte Carlo sampling approach. Digital Signal Processing, 16(5), 533–545.CrossRef
Zurück zum Zitat Hoffmann, F. (1990). On the rectilinear art gallery problem. In M. S. Paterson (Ed.), Automata, languages and programming: Proceedings of 17th international Colloquium Warwick University, England (pp. 717–728). Berlin: Springer. Hoffmann, F. (1990). On the rectilinear art gallery problem. In M. S. Paterson (Ed.), Automata, languages and programming: Proceedings of 17th international Colloquium Warwick University, England (pp. 717–728). Berlin: Springer.
Zurück zum Zitat Ho, Y., & Lee, R. (1964). A Bayesian approach to problems in stochastic estimation and control. IEEE Transactions on Automatic Control, 9(4), 333–339.MathSciNetCrossRef Ho, Y., & Lee, R. (1964). A Bayesian approach to problems in stochastic estimation and control. IEEE Transactions on Automatic Control, 9(4), 333–339.MathSciNetCrossRef
Zurück zum Zitat Howard, A., Mataric, M. J., & Sukhatme, G. S. (2002). Mobile sensor network deployment using potential fields: A distributed, scalable solution to the area coverage problem. Distributed Autonomous Robotic Systems, 5, 299–308.CrossRef Howard, A., Mataric, M. J., & Sukhatme, G. S. (2002). Mobile sensor network deployment using potential fields: A distributed, scalable solution to the area coverage problem. Distributed Autonomous Robotic Systems, 5, 299–308.CrossRef
Zurück zum Zitat Isler, V., Kannan, S., & Khanna, S. (2004). Randomized pursuit-evasion with limited visibility. In Proceedings of ACM-SIAM symposium on discrete algorithms (SODA) (pp. 1053–1063). Isler, V., Kannan, S., & Khanna, S. (2004). Randomized pursuit-evasion with limited visibility. In Proceedings of ACM-SIAM symposium on discrete algorithms (SODA) (pp. 1053–1063).
Zurück zum Zitat Jung, B., & Sukhatme, G. S. (2002). Tracking anonymous targets using a robotics sensor network. In AAAI spring symposium. AAAI Press. Jung, B., & Sukhatme, G. S. (2002). Tracking anonymous targets using a robotics sensor network. In AAAI spring symposium. AAAI Press.
Zurück zum Zitat Kumar, S., Lai, T. H., & Balogh, J. (2004). On k-coverage in a mostly sleeping sensor network. In Proceedings of the 10th annual international conference on mobile computing and networking, MobiCom ’04 (pp. 144–158). New York, NY: ACM. Kumar, S., Lai, T. H., & Balogh, J. (2004). On k-coverage in a mostly sleeping sensor network. In Proceedings of the 10th annual international conference on mobile computing and networking, MobiCom ’04 (pp. 144–158). New York, NY: ACM.
Zurück zum Zitat Laguna, G. J., & Bhattacharya, S. (2017). Hybrid system for target tracking in triangulation graphs. In Proceedings of IEEE international conference on robotics and automation (ICRA) (pp. 839–844). Laguna, G. J., & Bhattacharya, S. (2017). Hybrid system for target tracking in triangulation graphs. In Proceedings of IEEE international conference on robotics and automation (ICRA) (pp. 839–844).
Zurück zum Zitat Laguna, G. J., Zou, R., & Bhattacharya, S. (2016). Target tracking on triangulation graphs. In Proceedings of IEEE/RSJ international conference on intelligent robots and systems (IROS) (pp. 460–465). Laguna, G. J., Zou, R., & Bhattacharya, S. (2016). Target tracking on triangulation graphs. In Proceedings of IEEE/RSJ international conference on intelligent robots and systems (IROS) (pp. 460–465).
Zurück zum Zitat LaValle, S., Lin, D., Guibas, L., Latombe, J. C., & Motwani, R. (1997). Finding an unpredictable target in a workspace with obstacles. In Proceedings of IEEE international conference on robotics and automation (vol. 1, pp. 737–742). LaValle, S., Lin, D., Guibas, L., Latombe, J. C., & Motwani, R. (1997). Finding an unpredictable target in a workspace with obstacles. In Proceedings of IEEE international conference on robotics and automation (vol. 1, pp. 737–742).
Zurück zum Zitat Luke, S., Sullivan, K., Panait, L., & Balan, G. (2005). Tunably decentralized algorithms for cooperative target observation. In Proceedings of the fourth international joint conference on autonomous agents and multiagent systems, AAMAS ’05 (pp. 911–917). New York, NY: ACM. Luke, S., Sullivan, K., Panait, L., & Balan, G. (2005). Tunably decentralized algorithms for cooperative target observation. In Proceedings of the fourth international joint conference on autonomous agents and multiagent systems, AAMAS ’05 (pp. 911–917). New York, NY: ACM.
Zurück zum Zitat Megiddo, N., Hakimi, S. L., Garey, M. R., Johnson, D. S., & Papadimitriou, C. H. (1981). The complexity of searching a graph. In 22nd Annual symposium on foundations of computer science (SFCS 1981) (pp. 376–385). Megiddo, N., Hakimi, S. L., Garey, M. R., Johnson, D. S., & Papadimitriou, C. H. (1981). The complexity of searching a graph. In 22nd Annual symposium on foundations of computer science (SFCS 1981) (pp. 376–385).
Zurück zum Zitat Mehmetcik, E., & Ozguner, U. (2013). Centralized target tracking with propagation delayed measurements. In Proceedings of the 16th international conference on information fusion (pp. 820–826). Mehmetcik, E., & Ozguner, U. (2013). Centralized target tracking with propagation delayed measurements. In Proceedings of the 16th international conference on information fusion (pp. 820–826).
Zurück zum Zitat Murrieta-Cid, R., Gonzalez, H., & Tovar, B. (2002). A reactive motion planner to maintain visibility of unpredictable targets. In Proceedings of IEEE international conference on robotics and automation (pp. 4242–4248). Murrieta-Cid, R., Gonzalez, H., & Tovar, B. (2002). A reactive motion planner to maintain visibility of unpredictable targets. In Proceedings of IEEE international conference on robotics and automation (pp. 4242–4248).
Zurück zum Zitat O’Rourke, J. (1983). Galleries need fewer mobile guards a variation on Chvátal’s theorem. Geometriae Dedicata, 14(3), 273–283.MathSciNetMATH O’Rourke, J. (1983). Galleries need fewer mobile guards a variation on Chvátal’s theorem. Geometriae Dedicata, 14(3), 273–283.MathSciNetMATH
Zurück zum Zitat O’Rourke, J. (1987). Art gallery theorems and algorithms. New York, NY: Oxford University Press.MATH O’Rourke, J. (1987). Art gallery theorems and algorithms. New York, NY: Oxford University Press.MATH
Zurück zum Zitat Simon, G., Maróti, M., Lédeczi, A., Balogh, G., Kusy, B., Nádas, A., Pap, G., Sallai, J., & Frampton, K. (2004). Sensor network-based countersniper system. In Proceedings of the 2nd international conference on embedded networked sensor systems, SenSys ’04 (pp. 1–12). New York, NY: ACM. Simon, G., Maróti, M., Lédeczi, A., Balogh, G., Kusy, B., Nádas, A., Pap, G., Sallai, J., & Frampton, K. (2004). Sensor network-based countersniper system. In Proceedings of the 2nd international conference on embedded networked sensor systems, SenSys ’04 (pp. 1–12). New York, NY: ACM.
Zurück zum Zitat Suzuki, I., & Yamashita, M. (1992). Searching for a mobile intruder in a polygonal region. SIAM Journal on Computing, 21(5), 863–888.MathSciNetCrossRef Suzuki, I., & Yamashita, M. (1992). Searching for a mobile intruder in a polygonal region. SIAM Journal on Computing, 21(5), 863–888.MathSciNetCrossRef
Zurück zum Zitat Theodoridis, T., & Hu, H. (2012). Toward intelligent security robots: A survey. IEEE Transactions on Systems, Man, and Cybernetics, Part C (Applications and Reviews), 42(6), 1219–1230.CrossRef Theodoridis, T., & Hu, H. (2012). Toward intelligent security robots: A survey. IEEE Transactions on Systems, Man, and Cybernetics, Part C (Applications and Reviews), 42(6), 1219–1230.CrossRef
Zurück zum Zitat Tian, D., & Georganas, N. D. (2002). A coverage-preserving node scheduling scheme for large wireless sensor networks. In Proceedings of the 1st ACM international workshop on wireless sensor networks and applications, WSNA ’02 (pp. 32–41). New York, NY: ACM. Tian, D., & Georganas, N. D. (2002). A coverage-preserving node scheduling scheme for large wireless sensor networks. In Proceedings of the 1st ACM international workshop on wireless sensor networks and applications, WSNA ’02 (pp. 32–41). New York, NY: ACM.
Zurück zum Zitat Werner-Allen, G., Lorincz, K., Ruiz, M., Marcillo, O., Johnson, J., Lees, J., et al. (2006). Deploying a wireless sensor network on an active volcano. IEEE Internet Computing, 10(2), 18–25.CrossRef Werner-Allen, G., Lorincz, K., Ruiz, M., Marcillo, O., Johnson, J., Lees, J., et al. (2006). Deploying a wireless sensor network on an active volcano. IEEE Internet Computing, 10(2), 18–25.CrossRef
Zurück zum Zitat Williams, R. K., & Sukhatme, G. S. (2015). Observability in topology-constrained multi-robot target tracking. In Proceedings of IEEE international conference on robotics and automation (ICRA) (pp. 1795–1801). Williams, R. K., & Sukhatme, G. S. (2015). Observability in topology-constrained multi-robot target tracking. In Proceedings of IEEE international conference on robotics and automation (ICRA) (pp. 1795–1801).
Zurück zum Zitat Zou, R., & Bhattacharya, S. (2015). Visibility based multi-agent surveillance strategies in decentralized network. In SPIE Defense + Security (pp. 94,640P–94,640P). International Society for Optics and Photonics. Zou, R., & Bhattacharya, S. (2015). Visibility based multi-agent surveillance strategies in decentralized network. In SPIE Defense + Security (pp. 94,640P–94,640P). International Society for Optics and Photonics.
Metadaten
Titel
Adaptive target tracking with a mixed team of static and mobile guards: deployment and activation strategies
verfasst von
Guillermo J. Laguna
Sourabh Bhattacharya
Publikationsdatum
04.02.2019
Verlag
Springer US
Erschienen in
Autonomous Robots / Ausgabe 3-4/2020
Print ISSN: 0929-5593
Elektronische ISSN: 1573-7527
DOI
https://doi.org/10.1007/s10514-019-09833-8

Weitere Artikel der Ausgabe 3-4/2020

Autonomous Robots 3-4/2020 Zur Ausgabe

Neuer Inhalt