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Fault-tolerant shortest connection topology design for formation control

  • Control Theory
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Abstract

This paper studies the fault tolerant formation keeping problem of multi-agent systems with consideration of shortest connection topology. This is motivated by the requirement of low communication cost which largely depends on the communication length. Given a formation shape, a connection topology design method and its reconfiguration strategy are proposed in the sense that the whole connection path is shortest despite of communication faults. A control framework that combines the individual formation controller of each agent and connection topology is further presented. The stability of the whole system process is analyzed by switched system theories. Simulation results of unmanned aerial vehicles (UAVs) show the effectiveness of the proposed strategy.

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References

  1. A. K. Das, R. Fierro, V. Kumar, J. P. Ostrowski, J. Spletzer, and C. J. Taylor, “A vision-based formation control framework,” IEEE Trans. on Robotics and Automation, vol. 18, no. 5, pp. 813–825, 2002.

    Article  Google Scholar 

  2. Y.-C. Chen and Y.-T. Wang, “A generalized framework of dynamic role assignment for robot formation control,” International Journal of Control, Automation, and Systems, vol. 8, no. 6, pp. 1288–1295, 2010.

    Article  Google Scholar 

  3. X. Liu and Y. Zou, “A kind of synergic control for a collection of vehicles,” International Journal of Control, Automation, and Systems, vol. 10, no. 3, pp. 459–469, 2012.

    Article  Google Scholar 

  4. F. Giulietti, L. Pollini, and M. Innocenti, “Autonomous formation flight,” IEEE Control Systems Magazine, vol. 20, no. 6, pp. 34–44, 2000.

    Article  Google Scholar 

  5. J. Shin and H. J. Kim, “Nonlinear model predictive formation flight,” IEEE Trans. on systems, Man, and Cybernetics — Part A: Systems and Humans, vol. 39, no. 5, pp. 1116–1125, 2009.

    Article  Google Scholar 

  6. K. T. Alfriend, S. Vadali, P. Gurfil, J. How, and L. Breger, Spacecraft Formation Flying: Dynamics, Control and Navigation, Elsevier, 2010.

    Google Scholar 

  7. I. F. Akyildiz, W. Su, Y. Sankarasubramaniam, and E. Cayirci, “Wireless sensor networks: a survey,” Computer Networks, vol. 38, no. 4, pp. 393–422, 2002.

    Article  Google Scholar 

  8. R. S. Chandra, S. H. Breheny, and R. D’Andrea, “Antenna array synthesis with clusters of unmanned aerial vehicles,” Automatica, vol. 44, no. 8, pp. 1976–1984, 2008.

    Article  MathSciNet  Google Scholar 

  9. Y. H. Qu and Y. M. Zhang, “Cooperative localization of low-cost UAV using relative range measurements in multi-UAV flight,” Proc. of AIAA Guidance, Navigation, and Control Conference, Toronto, Ontario, Canada, 2010.

    Google Scholar 

  10. M. Blanke, M. Kinnaert, J. Lunze, and M. Staroswiecki, Diagnosis and Fault-Tolerant Control, 2nd edition, Springer Verlag, Berlin Heidelberg, 2006.

    MATH  Google Scholar 

  11. M. Staroswiecki, “On fault handling in control systems,” International Journal of Control, Automation, and Systems, vol. 6, no. 3, pp. 296–305, 2008.

    Google Scholar 

  12. X.-Z. Jin and G.-H. Yang, “Distributed adaptive robust tracking and model matching control with actuator faults and interconnection failures,” International Journal of Control, Automation, and Systems, vol. 7, no. 5, pp. 702–710, 2009.

    Article  Google Scholar 

  13. H. Yang, M. Staroswiecki, B. Jiang, and J. Liu, “Fault tolerant cooperative control for a class of nonlinear multi-agent systems,” Systems & Control Letters, vol. 60, no. 4, pp. 271–277, 2011.

    Article  MATH  MathSciNet  Google Scholar 

  14. E. Semsar-Kazerooni and K. Khorasani, “Team consensus for a network of unmanned vehicles in presence of actuator faults,” IEEE Trans. on Control Systems Technology, vol. 18, no. 5, pp. 1155–1161, 2010.

    Article  Google Scholar 

  15. E. Franco, L. Magni, T. Parisini, M. M. Polycarpou, and D. M. Raimondo, “Cooperative constrained control of distributed agents with nonlinear dynamics and delayed information exchange: a stabilizing receding-horizon approach,” IEEE Trans. on Automatic Control, vol. 53, no. 1, pp. 324–338, 2008.

    Article  MathSciNet  Google Scholar 

  16. H. A. Izadi, B. W. Gordon, and Y. M. Zhang, “Decentralized receding horizon control for cooperative multiple vehicles subject to communication delay,” AIAA Journal of Guidance, Control, and Dynamics, vol. 32, no. 6, pp. 1959–1965, 2009.

    Article  Google Scholar 

  17. H. A. Izadi, B. W. Gordon, and Y. M. Zhang, “Decentralized model predictive control for cooperative multiple vehicles subject to communication loss,” a Special Issue on “Formation Flight Control” in International Journal of Aerospace Eng., May 2011.

    Google Scholar 

  18. H. A. Izadi, B. W. Gordon, and Y. M. Zhang, “Hierarchical decentralized receding horizon control of multiple vehicles with communication failure,” IEEE Trans. on Aerospace and Electronic Systems, vol. 49, no. 2, pp. 744–759, 2013.

    Article  Google Scholar 

  19. D. Liberzon, Switching in Systems and Control, Boston, Birkhauser, MA, 2003.

    Book  MATH  Google Scholar 

  20. H. Yang, B. Jiang, and V. Cocquempot, Fault Tolerant Control Design For Hybrid Systems, Springer-Verlag, Berlin Heidelberg, 2010.

    Book  Google Scholar 

  21. B. Niu and J. Zhao, “Robust H control of uncertain nonlinear switched systems using constructive method,” International Journal of Control, Automation, and Systems, vol. 10, no. 3, pp. 481–489, 2012.

    Article  Google Scholar 

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Authors and Affiliations

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Correspondence to Bin Jiang.

Additional information

Recommended by Associate Editor Yingmin Jia under the direction of Editor Myotaeg Lim.

This work is supported by National Natural Science Foundation of China (61034005, 61104116, 61273171), Doctoral Fund of Ministry of Education of China (20113218110011), the Fundamental Research Funds for the Central Universities (NE2014202) and Natural Sciences and Engineering Research Council of Canada (NSERC) through a Strategic Project Grant and a Discovery Project Grant.

Hao Yang received his Ph.D. degree in Automatic Control from Nanjing University of Aeronautics and Astronautics (NUAA), China and Universitíę de Lille 1: Sciences et Technologies, France, both in 2009. Since 2009, he joined College of Automation Engineering in NUAA, where he is currently an associate professor. He serves as Associate Editor for Nonlinear Analysis: Hybrid Systems. His research interest includes stability and fault tolerant control of switched and hybrid systems, multi-agent systems, supervisory control with their applications.

Bin Jiang obtained his Ph.D. degree in Automatic Control from Northeastern University, Shenyang, China, in 1995. He had ever been postdoctoral fellow, research fellow and visiting professor in Singapore, France, USA and Canada, respectively. Now he is a Chair Professor of Cheung Kong Scholar Program in Ministry of Education and Dean of College of Automation Engineering in Nanjing University of Aeronautics and Astronautics, China. He currently serves as Associate Editor or Editorial Board Member for a number of journals such as IEEE Trans. On Control Systems Technology; Int. J. of Control, Automation and Systems; Nonlinear Analysis: Hybrid Systems; Int. J. of Applied Mathematics and Computer Science; Acta Automatica Sinica; Journal of Astronautics. He is a senior member of IEEE, Chair of Control Systems Chapter in IEEE Nanjing Section, a member of IFAC Technical Committee on Fault Detection, Supervision, and Safety of Technical Processes. His research interests include fault diagnosis and fault tolerant control and their applications.

Youmin Zhang is an Associate Professor in the Department of Mechanical and Industrial Engineering and the Concordia Institute of Aerospace Design and Innovation (CIADI) at the Faculty of Engineering and Computer Science of Concordia University, Canada. His main research interests and experience are in the areas of condition monitoring, fault diagnosis and fault-tolerant (flight) control systems; cooperative guidance, navigation and control of unmanned aerial/ground/surface vehicles; dynamic systems modeling, estimation, identification and control; and advanced signal processing techniques for diagnosis, prognosis and health management of safety-critical systems, renewable energy systems and manufacturing processes. He has led and participated in several national and international research projects in China, Europe and North America, including NSFC, NSERC (Strategic, Discovery, and RTI grants), NASA Aviation Safety Program, and GARTEUR. He has published 4 books with co-authors, over 280 journal and conference papers. He serves as a member of the IFAC Technical Committee on Fault Detection, Supervision and Safety for Technical Processes (SAFE PROCESS), the Technical Committee on Chinese Fault Detection, Supervision and Safety for Technical Processes (Chinese SAFEPROCESS), the AIAA Infotech@Aerospace Program Committee (PC) on Unmanned Systems, the IEEE Robotics and Automation Society Technical Committee (TC) on Aerial Robotics and Unmanned Aerial Vehicles (ARUAV), the ASME/IEEE TC on Mechatronics and Embedded Systems and Applications (MESA), and a Member of ICUAS (International Conference on Unmanned Aircraft Systems) Association Executive Committee. He is an Editorial Board Member and/or (Senior, Associate) Editor of 7 international journals and an Editor-in-Chief of one journal. He is a senior member of AIAA and IEEE, a member of AUVSI/USC, CASI, and CSME. Dr. Zhang is currently serving as a Program Chair of the 2014 International Conference on Unmanned Aircraft Systems (ICUAS 2014) to be held at Orlando, FL, USA during May 27–30, 2014 and the General Chair of The 10th International Conference on Intelligent Unmanned Systems (ICIUS 2014) to be held at Montreal, Quebec, Canada during September 29–October 1, 2014.

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Yang, H., Jiang, B. & Zhang, Y. Fault-tolerant shortest connection topology design for formation control. Int. J. Control Autom. Syst. 12, 29–36 (2014). https://doi.org/10.1007/s12555-012-9315-x

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  • DOI: https://doi.org/10.1007/s12555-012-9315-x

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