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

Institute of Control, Robotics and Systems (제어로봇시스템학회)
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Structured Static Output Feedback Stabilization of Discrete Time Linear Systems

구조적인 제약이 있는 이산시간 선형시스템의 정적출력 되먹임 안정화 제어기 설계

  • Lee, Joonhwa (School Electrical and Computer Engineering, University of Seoul)
  • 이준화 (서울시립대학교 전자전기컴퓨터공학부)
  • Received : 2014.12.17
  • Accepted : 2014.12.23
  • Published : 2015.03.01
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Abstract

In this paper, a nonlinear optimization problem is proposed to obtain a structured static output feedback controller for discrete time linear systems. The proposed optimization problem has LMI (Linear Matrix Inequality) constraints and a non-convex objective function. Using the conditional gradient method, we can obtain suboptimal solutions of the proposed optimization problem. Numerical examples show the effectives of the proposed approach.

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References

  1. S. Boud, L. El Ghaoui, E Feron, and V. Balakrishnan, Linear Matrix Inequalities in System and Control Theory, SIAM Studies in Applied Mathematics, Philadelphia, PA: SIAM, vol. 15, 1994.
  2. V. Blondel and J. N. Tsitsiklis, "NP-hardness of some linear control design problems," European J. Contr., vol. 1, 1995.
  3. L.E .Ghaoui, F. Oustry, and M. AitRami, "A cone complementarity linearization algorithm for static output-feedback and related problems," IEEE Trans. Automatic Control, vol. 42, no. 8, pp. 1171-1176, Aug. 1997. https://doi.org/10.1109/9.618250
  4. A. I. Zecevic and D. D. Siljak, "Control design with arbitray information structure constraints," Automatica, vol. 44, no. 9, pp. 2642-2647, Sep. 2008. https://doi.org/10.1016/j.automatica.2008.02.029
  5. D. P. Bertsekas, Nonlinear Programming, Athena Scientific, 1995.
  6. J. Rubio-Massegu, J. M. Rossell, H. R. Karimi, and F. Palacios-Quinonero, "Static output-feedback control under information structure constraints," Automatica, vol. 49, no. 1, pp. 313-316, Jan. 2013. https://doi.org/10.1016/j.automatica.2012.10.012
  7. C. A. R. Crusius and A. Trofino, "Sufficient LMI conditions for output feedback control problems," IEEE Trans. Automatic Control, vol. 44, no. 5, pp. 1053-1057, May 1999. https://doi.org/10.1109/9.763227
  8. C. E. D. Souza and A. Trofino, "An LMI approach to stabilization of linear discrete-time periodic systems," Int. J. Control, vol. 73, no. 8, pp. 696-703, 2000. https://doi.org/10.1080/002071700403466
  9. G. I. Bara and M. Boutayeb, "Static output feedback stabilization with $H_\infty$ performance for linear discrete-time systems," IEEE Trans. Automatic Control, vol. 50, no. 2, pp. 250-254, Feb. 2005. https://doi.org/10.1109/TAC.2004.841922