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Data Exchange with Adaptive Coding between Quadrotors in a Formation

  • Large Scale Systems Control
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Abstract

In this paper, we present and numerically study an adaptive coding procedure for data transfer among quadrotors moving in a formation. The quadrotor’s parameters are identified using experimental data from a digital communication channel with limited bandwidth. We compare the obtained results with theoretical expectations and illustrate the efficiency of the adaptive coding procedure.

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References

  1. Amelina, N.O., Multiagent Technologies, Adaptation, Self-Organization, Reaching Consensus, Stokh. Optim. Informat., 2011, vol. 7, no. 1, pp. 149–185.

    Google Scholar 

  2. Andrievskii, B.R., Matveev, A.S., and Fradkov, A.S., Control and Estimation under Information Constraints: Toward a Unified Theory of Control, Computation and Communications, Autom. Remote Control, 2010, vol. 71, no. 4, pp. 572–633.

    MathSciNet  MATH  Google Scholar 

  3. Andrievskii, B.R., Stotskii, A.A., and Fradkov, A.L., Speed-Gradient Algorithms in Control and Adaptation Problems, Autom. Remote Control, 1988, vol. 49, no. 12, pp. 1533–1564.

    Google Scholar 

  4. Andrievskii, B.R. and Fradkov, A.L., Control and Monitoring over the Channels of Communication with a Limited Carrying Capacity, Girosk. Navigats., 2009, vol. 67, no. 4, pp. 103–114.

    Google Scholar 

  5. Besekerskii, V.A and Popov, E.P., Teoriya sistem avtomaticheskogo upravleniya (Theory of Automatic Control Systems), St. Petersburg: Professiya, 2003, 4th ed., revised and complemented.

    Google Scholar 

  6. Dzhunusov, I.A. and Fradkov, A.L., Adaptive Synchronization of a Network of Interconnected Nonlinear Lur’e Systems, Autom. Remote Control, 2009, vol. 70, no. 7, pp. 1190–1205.

    Article  MathSciNet  MATH  Google Scholar 

  7. Dzhunusov, I.A. and Fradkov, A.L., Synchronization in Networks of Linear Agents with Output Feedbacks, Autom. Remote Control, 2011, vol. 72, no. 8, pp. 1615–1626.

    Article  MathSciNet  MATH  Google Scholar 

  8. Ljung, L., System Identification: Theory for the User, Englewood Cliffs: Prentice Hall, 1987. Translated under the title Identifikatsiya sistem. Teoriya dlya pol’zovatelya, Moscow: Nauka, 1991.

    MATH  Google Scholar 

  9. Nelineinye sistemy. Chastotnye i matrichnye neravenstva (Nonlinear Systems. Frequency and Matrix Inequalities), Gelig, A.Kh., Leonov, G.A., and Fradkov, A.L., Eds., Moscow: Fizmatlit, 2008.

  10. Proskurnikov, A.V., Frequency-Domain Criteria for Consensus in Multiagent Systems with Nonlinear Sector-Shaped Couplings, Autom. Remote Control, 2014, vol. 75, no. 11, pp. 1982–1995.

    Article  MathSciNet  MATH  Google Scholar 

  11. Furtat, I.B., Consensus Output Control for a Linear Dynamical Network with Disturbance Compensation, Mekhatronika, Avtomatiz., Upravlen., 2011, no. 4, pp. 12–18.

    Google Scholar 

  12. Abdallah, C. and Tanner, H., Complex Networked Control Systems: Introduction to the Special Section, IEEE Control Syst. Mag., 2007, vol. 27, no. 4, pp. 3–32.

    Article  Google Scholar 

  13. Altug, E., Ostrowski, J., and Mahony, R., Control of a Quadrotor Helicopter Using Visual Feedback, Proc. IEEE Int. Conf. on Robotics and Automation, Washington: IEEE Press, 2002, pp. 72–76.

    Google Scholar 

  14. Andrievsky, B., Adaptive Coding for Transmission of Position Information over the Limited-Band Communication Channel, Proc. 9th IFAC Workshop on Adaptation and Learning in Control and Signal Processing (ALCOSP’2007), St. Petersburg: IFAC, 2007. www.ifacpapersonline.net/Detailed/38673.html

    Google Scholar 

  15. Andrievsky, B., Fradkov, A., and Peaucelle, D., State Estimation over the Limited-Band Communication Channel for Pitch Motion Control of LAAS Helicopter Benchmark, Proc. 17th IFAC Symp. Automatic Control in Aerospace (ACA’2007), Toulouse, France, 2007. http://www.ifacpapersonline. net/Detailed/38673.html

    Google Scholar 

  16. Andrievsky, B. and Fradkov, A.L., Adaptive Coding for Maneuvering UAV Tracking Over the Digital Communication Channel, Proc. 6th Int. Congress on Ultra Modern Telecommunications and Control Systems and Workshops (ICUMT 2014), St. Petersburg: IEEE Press, 2014, pp. 325–330.

    Google Scholar 

  17. Andrievsky, B. and Tomashevich, S., Passification Based Signal-Parametric Adaptive Controller for Agents in Formation, IFAC-PapersOnLine, 2015, vol. 48, no. 11, pp. 222–226.

    Article  Google Scholar 

  18. Bazzi, L. and Mitter, S., Endcoding Complexity Versus Minimum Distance, IEEE Trans. Inform. Theory, 2005, vol. 51, no. 6, pp. 2103–2112.

    Article  MathSciNet  MATH  Google Scholar 

  19. Bondarko, V., Stabilization of Linear Systems via a Two-Way Channel under Information Constraints, Cybern. Phys., 2014, vol. 3, no. 4, pp. 157–160.

    Google Scholar 

  20. Brockett, R. and Liberzon, D., Quantized Feedback Stabilization of Linear Systems, IEEE Trans. Automat. Control, 2000, vol. 45, no. 7, pp. 1279–1289.

    Article  MathSciNet  MATH  Google Scholar 

  21. Castillo, G.P., Lozano, R., and Dzul, A.E., Modelling and Control of Mini-Flying Machines, Advances in Industrial Control, London: Springer-Verlag, 2005.

    MATH  Google Scholar 

  22. Das, A., Subbarao, K., and Lewis, F., Dynamic Inversion of Quadrotor with Zero-Dynamics Stabilization, Proc. 17th IEEE Int. Conf. on Control Applications, Part of 2008 IEEE Multi-conference on Systems and Control (MSC 2008), San Antonio: IEEE Press, 2008.

    Google Scholar 

  23. Fantoni, I. and Lozano, R., Non-linear Control for Underactuated Mechanical Systems, Communications and Control Engineering, Sontag, E. and Thoma, M., Eds., London: Springer-Verlag, 2002.

    Google Scholar 

  24. Fax, J. and Murray, R., Information Flow and Cooperative Control of Vehicle Formations, IEEE Trans. Automat. Control, 2004, vol. 8, pp. 1465–1476.

    Article  MathSciNet  MATH  Google Scholar 

  25. Fradkov, A., Passification of Nonsquare Linear Systems and Yakubovich–Kalman–Popov Lemma, Eur. J. Control, 2003, vol. 6, pp. 573–582.

    MATH  Google Scholar 

  26. Fradkov, A., Andrievsky, B., and Peaucelle, D., Estimation and Control under Information Constraints for LAAS Helicopter Benchmark, IEEE Trans. Contr. Syst. Technol., 2010, vol. 18, no. 5, pp. 1180–1187.

    Article  MATH  Google Scholar 

  27. Fradkov, A. and Junussov, I., Synchronization of Networks of Linear Systems by Static Output Feedback, Proc. 50th IEEE Conf. Dec. Contr. (CDC 2011), Orlando, 2011, pp. 8188–8192.

    Google Scholar 

  28. Gomez-Estern, F., Canudas de Wit, C., and Rubio, F., Adaptive Delta Modulation in Networked Controlled Systems with Bounded Disturbances, IEEE Trans. Automat. Control, 2011, vol. 56, no. 1. pp. 129–134.

    Google Scholar 

  29. Goodman, D. and Gersho, A., Theory of an Adaptive Quantizer, IEEE Trans. Commun., 1974, vol. COM-22, no. 8, pp. 1037–1045.

    Book  Google Scholar 

  30. Goodwin, G., Lau, K., and Cea, M., Control with Communication Constraints, Proc. 12th Int. Conf. on Control Automation Robotics and Vision (ICARCV 2012), Guangzhou, 2012, pp. 1–10.

    Google Scholar 

  31. Goodwin, G., Haimovich, H., Quevedo, D., and Welsh, J., A Moving Horizon Approach to Networked Control System Design, IEEE Trans. Automat. Control, 2004, vol. 49, no. 9, pp. 1427–1445.

    Article  MathSciNet  MATH  Google Scholar 

  32. Ishii, H. and Francis, B., Limited Data Rate in Control Systems with Networks, New York: Springer-Verlag, 2002.

    MATH  Google Scholar 

  33. Jadbabaie, A., Lin, J., and Morse, A.S., Coordination of Groups of Mobile Autonomous Agents Using Nearest Neighbor Rules, IEEE Trans. Autom. Control, 2003, vol. 48, no. 6, pp. 988–1001.

    Article  MathSciNet  MATH  Google Scholar 

  34. Janusz, W.C., Czyba, R., and Szafrański, G., Model Identification and Data Fusion for the Purpose of the Altitude Control of the VTOL Aerial Robot, Proc. 2nd IFAC Workshop on Research, Education and Development of Unmanned Aerial Systems (RED-UAS 2013), Compiegne, France: IFAC, 2013, pp. 263–269.

    Google Scholar 

  35. Leishman, J., Principles of Helicopter Aerodynamics, New York: Cambridge Univ. Press, 2006, 2nd ed.

    Google Scholar 

  36. Leonard, N.E. and Fiorelli, E., Virtual Leaders, Artificial Potentials, and Coordinated Control of Groups, Proc. 40th IEEE Conf. Decision and Control (CDC 2001), 2001, pp. 2968–2973.

    Google Scholar 

  37. Li, Z., Ren, W., Liu, X., and Fu, M., Distributed Containment Control of Multi-Agent Systems with General Linear Dynamics in the Presence of Multiple Leaders, Int. J. Robust Nonlin. Control, 2013, vol. 23, pp. 534–547.

    Article  MathSciNet  MATH  Google Scholar 

  38. Matveev, A. and Savkin, A., Estimation and Control over Communication Networks, Boston: Birkhäuser, 2009.

    MATH  Google Scholar 

  39. Nair, G., Evans, R., Mareels, I., Moran, W., Topological Feedback Entropy and Nonlinear Stabilization, IEEE Trans. Automat. Control, 2004, vol. 49, no. 9, pp. 1585–1597.

    Article  MathSciNet  MATH  Google Scholar 

  40. Nair, G. and Evans, R., Exponential Stabilisability of Finite-dimensional Linear Systems with Limited Data Rates, Automatica, 2003, vol. 39, pp. 585–593.

    Article  MathSciNet  MATH  Google Scholar 

  41. Nair, G., Evans, R., and Caines, P., Stabilising Decentralised Linear Systems under Data Rate Constraints, Proc. 43rd IEEE Conf. on Decision and Control, Atlantis, Paradise Island, Bahamas, 2004, pp. 3992–3997.

    Google Scholar 

  42. Nair, G., Fagnani, F., Zampieri, S., and Evans, R., Feedback Control under Data Rate Constraints: An Overview, Proc. IEEE, 2007, vol. 95, no. 1, pp. 108–137.

    Article  Google Scholar 

  43. Ni, W. and Cheng, D., Leader-Following Consensus of Multi-Agent Systems under Fixed and Switching Topologies, Syst. Control Lett., 2010, vol. 59, no. 3–4, pp. 209–217.

    Google Scholar 

  44. Olfati-Saber, R., Fax, J.A., and Murray, R.M., Consensus and Cooperation in Network Multi-Agent System, Proc. IEEE, 2007, vol. 95, pp. 215–233.

    Article  MATH  Google Scholar 

  45. Porfiri, M., Roberson, D., and Stilwell, D., Tracking and Formation Control of Multiple Autonomous Agents: A Two-Level Consensus Approach, Automatica, 2007, vol. 43, no. 8, pp. 1318–1328.

    Article  MathSciNet  MATH  Google Scholar 

  46. Ren, W. and Beard, R.W., Distributed Consensus in Multivehicle Cooperative Control, London: Springer-Verlag, 2008.

    Book  MATH  Google Scholar 

  47. Savkin, A. and Cheng, T., Detectability and Output Feedback Stabilizability of Nonlinear Networked Control Systems, IEEE Trans. Automat. Control, 2007, vol. 52, no. 4, pp. 730–735.

    Article  MathSciNet  MATH  Google Scholar 

  48. Tatikonda, S. and Mitter, S., Control under Communication Constraints, IEEE Trans. Automat. Control, 2004, vol. 49, no. 7, pp. 1056–1068.

    Article  MathSciNet  MATH  Google Scholar 

  49. Wu, Z., Guan, Z., Wu, X., and Li, T., Consensus Based Formation Control and Trajectory Tracing of Multi-Agent Robot Systems J. Intell. Robotic Syst., 2007, vol. 48, no. 3, pp. 397–410.

    Article  Google Scholar 

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Authors and Affiliations

  1. St. Petersburg State University, St. Petersburg, Russia

    K. S. Amelin, B. R. Andrievsky, S. I. Tomashevich & A. L. Fradkov

  2. Institute of Problems of Mechanical Engineering (IPME), Russian Academy of Sciences, St.Petersburg, Russia

    B. R. Andrievsky & A. L. Fradkov

  3. ITMO University, St. Petersburg, Russia

    B. R. Andrievsky, S. I. Tomashevich & A. L. Fradkov

Authors
  1. K. S. Amelin
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  2. B. R. Andrievsky
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  3. S. I. Tomashevich
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  4. A. L. Fradkov
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Correspondence to K. S. Amelin.

Additional information

Russian Text © K.S. Amelin, B.R. Andrievsky, S.I. Tomashevich, A.L. Fradkov, 2016, published in Upravlenie Bol’shimi Sistemami, 2016, No. 62, pp. 188–213.

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Amelin, K.S., Andrievsky, B.R., Tomashevich, S.I. et al. Data Exchange with Adaptive Coding between Quadrotors in a Formation. Autom Remote Control 80, 150–163 (2019). https://doi.org/10.1134/S0005117919010132

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  • DOI: https://doi.org/10.1134/S0005117919010132

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