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[ $H_{\infty}$ ] Multi-Step Prediction for Linear Discrete-Time Systems: A Distributed Algorithm

Wang, Hao-Qian   (Department of Automation, Tsinghua UniversityUU0013702  ); Zhang, Huan-Shui   (School of Control Science and Engineering, Shandong UniversityUU0016725  ); Hu, Hong   (Shenzhen Graduate School of Harin Institute of Technology  );
  • 초록

    A new approach to $H_{\infty}$ multi-step prediction is developed by applying the innovation analysis theory. Although the predictor is derived by resorting to state augmentation, nevertheless, it is completely different from the previous works with state augmentation. The augmented state here is considered just as a theoretical mathematic tool for deriving the estimator. A distributed algorithm for the Riccati equation of the augmented system is presented. By using the reorganized innovation analysis, calculation of the estimator does not require any augmentation. A numerical example demonstrates the effect in reducing computing burden.


  • 주제어

    Distributed algorithm .   $H_{\infty}$ estimation .   innovation .   Krein space.  

  • 참고문헌 (14)

    1. U. Shaked, "$H_{\infty}$ optimal estimation-old and new result," Proc. of the 21st Brazilian Automatic Control Conference, Uberlandia, MG, Brasil, September 1998 
    2. H. Zhang, L. Xie, D. Zhang, and Y. C. Soh, "A reorganized innovation approach to linear estimation," IEEE Trans. on Automatic Control, vol. 49, no. 10, pp. 1810-1814, 2004 
    3. T. Kailath, A. Sayed, and B. Hassibi, Linear Estimation, Prentice-Hall, Englewood, Cliffs, NJ, 1999 
    4. L. Mirkin and G. Tadmor, "Yet another $H_{\infty}$ disctetization," IEEE Trans. on Automatic Control, vol. 38, pp. 891-894, 2003 
    5. P. Colaneri and A. Ferrante, "A J-spectral factorization approach for $H_{\infty}$ estimation problem in discrete time," IEEE Trans. on Automatic Control, vol. 47, no. 12, pp. 2108-2113, 2002 
    6. Y. Theodor and U. Shaked, "Game theory approach to $H_{\infty}$ optimal discrete-time fixed-point and fixed-lag smoothing," IEEE Trans. on Automatic Control, vol. 39, pp. 1944-1948, 1994 
    7. P. Colaneri and A. Ferrante, "Algebraic riccati equation and J-spectral factorization for $H_{\infty}$ filtering and deconvolution," SIAM J. Contr. and Opt., vol. 45, no. 1, pp. 123-145, 2006 
    8. G. Zames, "Feedback and optimal sensitivity: Model reference transformations, multiplicative seminorms, and approximate," IEEE Trans. on Automatic Control, vol. 26, pp. 301-320, 1981 
    9. H. Gao and C. Wang, "A delay-dependent approach to robust $H_{\infty}$ filtering for uncertain discretetime state-delayed systems," IEEE Trans. on Signal Processing, vol. 52, no. 6, pp. 1631-1640, 2004 
    10. P. Colaneri and A. Ferrante, "Algebraic riccati equation and J-spectral factorization for $H_{\infty}$ estimation," System & Control Letters, vol. 51, no. 5, pp. 383-393, 2004 
    11. B. Hassibi, A. H. Sayed, and T. Kailath, Indefinite Quadratic Estimation and Control: A Unified Approach to H2 and $H_{\infty}$ Theories, SIAM Studies in Applied Mathematics Series, 1998 
    12. H. Zhang, L. Xie, Y. C. Soh, and D. Zhang, "$H_{\infty}$ fixed-lag smoothing for linear time-varying discrete time systems," Automatica, vol. 41, no. 5, pp. 839-846, 2005 
    13. E. Fridman, U. Shaked, and L. H. Xie, "Robust $H_{\infty}$ filtering of linear systems with time-varying delay," IEEE Trans. on Automatic Control, vol. 48, no. 1, pp. 159-165, 2003 
    14. K. M. Nagpal and P. P. Khargonekar, "Filtering and smoothing in an $H_{\infty}$ setting," IEEE Trans. on Automatic Control, vol. 36, pp. 152-166, 1991 

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