Journal of Institute of Control, Robotics and Systems (제어로봇시스템학회논문지)

Institute of Control, Robotics and Systems (제어로봇시스템학회)
권호 표지
DOI QR코드

DOI QR Code

SDRE Based Optimal Nonlinear Observer-Controller Design for Ramp Metering System

진입로 신호등 시스템을 위한 SDRE 기반 최적 비선형 관측기 제어기 설계

  • Lee, Kiho (Division of Electronics and Electrical Engineering, Dongguk University) ;
  • Choi, Han Ho (Division of Electronics and Electrical Engineering, Dongguk University)
  • 이기호 (동국대학교 전자전기공학부) ;
  • 최한호 (동국대학교 전자전기공학부)
  • Received : 2013.12.27
  • Accepted : 2014.04.01
  • Published : 2014.05.01
Download PDF
⟨ Previous Next ⟩

Abstract

In this paper, a near optimal decentralized observer-controller design method is proposed for ramp metering systems based on SDRE (State Dependent Riccati Equation) approach. The optimal nonlinear observer gain is parameterized in terms of the solution matrix of an SDRE. This paper gives a simple algorithm to compute the near optimal observer gain. The optimal control design problem is also considered. Finally, numerical simulation results are given to illuminate the effectiveness and practicality of the proposed design method.

Keywords

References

  1. M. Papageorgiou, C. Duakaki, V. Dinopoulou, A. Kotsialos, and Y. Wang, "Review of road traffic control strategies," Proc. of the IEEE, vol. 91, no. 12, pp. 2043-2067, 2003. https://doi.org/10.1109/JPROC.2003.819610
  2. U. Kiencke, L. Nielsen, R. Sutton, K. Schilling, M. Papageorgiou, and H. Asama, "The impact of automatic control on recent developments in transportation and vehicle systems," Annual Reviews in Control, vol. 30, pp. 81-89, 2006. https://doi.org/10.1016/j.arcontrol.2006.02.001
  3. B. Sridhar, S. R. Grabbe, and A. Mukherjee, "Modeling and optimization in traffic flow management," Proc. of the IEEE, vol. 96, no. 12, pp. 2060-2080, 2008. https://doi.org/10.1109/JPROC.2008.2006141
  4. T. Cimen, "Systematic and effective design of nonlinear feedback controllers via the SDRE (State-Dependent Riccati Equation) method," Annual Reviews in Control, vol. 34, pp. 32-51, 2010. https://doi.org/10.1016/j.arcontrol.2010.03.001
  5. T. D. Do, H. H. Choi, and J. W. Jung, "SDRE-based near optimal control system design for PM synchronous motor," IEEE Transaction on Industrial Electronics, vol. 59, no. 11, pp. 4063-4074, 2012. https://doi.org/10.1109/TIE.2011.2174540
  6. H. H. Choi, "SDRE-based near optimal traffic controller design," Journal of Institute of Control, Robotics and Systems (in Korean), vol. 18, no. 12, pp. 1086-1089, Dec. 2012. https://doi.org/10.5302/J.ICROS.2012.18.12.1086
  7. Y. Wang, M. Papageorgiou, and A. Messmer, "Investigation of the adaptive features of a real-time nonlinear freeway traffic state estimator," Nonlinear Dynamics, vol. 49, pp. 511-524, 2007. https://doi.org/10.1007/s11071-006-9112-2
  8. G. Maeng and H. H. Choi, "Fuzzy observer design for traffic control system" Journal of Institute of Control, Robotics and Systems (in Korean), vol. 20, no. 1, pp. 18-21, Jan. 2014 https://doi.org/10.5302/J.ICROS.2014.13.1859

Cited by

  1. SDRE Based Near Optimal Controller Design of Permanent Magnet Synchronous Generator for Variable-Speed Wind Turbine System vol.21, pp.1, 2015, https://doi.org/10.5302/J.ICROS.2015.14.0061