Fuzzy Formation Controlling Phugoid Model-Based Multi-Agent Systems

장주기모델로 구성된 다개체시스템의 퍼지 군집제어

  • Moon, Ji Hyun (Department of Electronic Engineering, Inha University) ;
  • Lee, Jaejun (Department of Electronic Engineering, Inha University) ;
  • Lee, Ho Jae (Department of Electronic Engineering, Inha University)
  • 문지현 (인하대학교 전자공학과) ;
  • 이재준 (인하대학교 전자공학과) ;
  • 이호재 (인하대학교 전자공학과)
  • Received : 2016.04.13
  • Accepted : 2016.05.26
  • Published : 2016.07.01


This paper discusses a Takagi-Sugeno (T-S) fuzzy controller design problem for a phugoid model-based multi-agent system. The error between the state of a phugoid model and a reference is defined to construct a multi-agent system model. A T-S fuzzy model of the multi-agent system is built by introducing a nonlinear controller. A fuzzy controller is then designed to stabilize the T-S fuzzy model, where the synthesis condition is represented in terms of linear matrix inequalities.


Supported by : 한국연구재단


  1. J. H. Moon, S. C. Jee, and H. J. Lee, "Output-feedback control of underwater gliders by buoyancy and pitching moment control: feedback linearization approach," International Journal of Control, Automation, and Systems, vol. 14, no. 1, pp. 255-262, 2016.
  2. S. C. Jee, H. J. Lee, M. H. Kim, and J. H. Moon, "Stabilization of underwater glider by buoyancy and moment control: Feedback linearization approach," Journal of Ocean Engineering and Technology (in Korean), vol. 28, no. 6, pp. 546-551, 2014.
  3. H. R. Cortes, "On a port hamiltonian approach to the aircraft phugoid dynamics," in Congreso Nacional de Control Automatico 2007, 2007.
  4. H. G. Kwatny, J.-E. T. Dongmo, B.-C. Chang, G. Bajpai, M. Yasar, and C. Belcastro, "Nonlinear analysis of aircraft loss of control," Journal of Guidance, Control, and Dynamics, vol. 36, pp. 149-162, 2013.
  5. F. W. Lanchester, Aerodonetics. Constable & Company Limited, 1908.
  6. M. J. Abzug and E. E. Larrabee, Airplane Stability and Control: A History of the Technologies that Made Aviation Possible. Cambridge University Press, 2005, vol. 14.
  7. P. Bhatta and N. E. Leonard, "A lyapunov function for vehicles with lift and drag: Stability of gliding," Proceedings of the 43rd IEEE Conference on Decision and Control, vol. 4, pp. 4101-4106, 2004.
  8. J. G. Graver, "Underwater gliders: Dynamics, control and design," Ph.D. dissertation, Princeton University, 2005.
  9. P. Bhatta and N. E. Leonard, "Nonlinear gliding stability and control for vehicles with hydrodynamic forcing," Automatica, vol. 44, pp. 1240-1250, 2008.
  10. J. Fax and R. Murray, "Information flow and coopetive control of vehicle formations," IEEE Transactions on Automatic Control, vol. 49, no. 9, pp. 1465-1476, 2004.
  11. J. Wang, Z. Liu, and X. Hu, "Consensus of high order linear multi-agent systems using output error feedback," Proc. of Joint 48th IEEE Conference on Decision and Control and 28th Chinese Control Conference, 2009.
  12. Z. Li, X. Liu, P. Lin, and W. Ren, "Consensus of linear multi-agent systems with reduced order observer-based protocols," Systems & Control Letters, vol. 60, pp. 510-516, 2011.
  13. J. H. Moon, J. Lee, and H. J. Lee, "T-S fuzzy controller design for phugoid model-based multi-agent system," 2016 31st ICROS Annual Conference (in Korean), pp. 175-176, 2016.
  14. F. Giulietti, L. Pollini, and M. Innocenti, "Autonomous formation flight," IEEE Control Systems Magazine, 2000.
  15. J.-S. Kim and J. Back, "Reduced-order disturbance observer based coordinated tracking of uncertain heterogeneous multi-agent systems," Journal of Institute of Control, Robotics and Systems (in Korean), vol. 20, no. 12, pp. 1231-1237, 2014.
  16. A. Zecevic and D. Siljak, "A new approach to control design with overlapping information structure constraints," Automatica, vol. 41, pp. 265-272, 2005.
  17. J. Y. Lee and Y. H. Choi, "LQ inverse optimal consensus protocol for continuous-time multi-agent systems and its application to formation control," Journal of Institute of Control, Robotics and Systems (in Korean), vol. 20, no. 5, pp. 526-532, 2014.
  18. K. Tanaka and H. O. Wang, Fuzzy Control Systems Design and Analysis: A Linear Matrix Inequality Approach, New York: Wiley, 2001.
  19. S. C. Jee and H. J. Lee, "Sampled-data $H_{-}/H_{{\infty}}$ fault detection and isolation for nonlinear systems in T-S form: An approximate model approach," Fuzzy Sets and Systems, vol. 297, pp. 112-127, 2016.