References
- B. D. O. Anderson and J. B. Moore, Optimal Filtering, Prentice-Hall, Englewood Cliffs, 1979.
-
A. Elsayed and M. Grimble, "A new approach to
$H_{{\infty}}$ design for optimal digital linear filters," IMA Journal of Mathematical Control and Information, vol. 6, pp. 233-251, 1989. https://doi.org/10.1093/imamci/6.2.233 -
H. Gao, J. Lam, P. Shi, and C. Wang, "New approach to mixed
$H_2/H{\infty}$ filtering for polytopic discrete-time systems," IEEE Transactions on Signal Processing, vol. 52, pp. 1631-1640, 2004. https://doi.org/10.1109/TSP.2004.827188 -
H. Gao, J. Lam, P. Shi, and C. Wang, "Parameter-dependent filter design with guaranteed
$H_{{\infty}}$ performance," IEE Proceedings Control Theory and Applications, vol. 152, pp. 531-537, 2005. https://doi.org/10.1049/ip-cta:20045050 -
Y. Chen, Z. Zhou, C. Zeng, and Q. Zhang, "
$H_{{\infty}}$ filtering for descriptor systems," International Journal of Control, Automation, and Systems, vol. 4, pp. 697-704, 2006. -
C. M. Lee and I. K. Fong, "
$H_{{\infty}}$ optimal singular and normal filter design for uncertain singular systems," IET Control Theory and Applications, vol. 1, pp. 119-126, 2007. https://doi.org/10.1049/iet-cta:20060042 - L. Dai, Singular Control Systems, Berlin, Springer-Verlag, 1989.
- S. Xu and J. Lam, Robust Control and Filtering of Singular Systems, Berlin, Springer-Verlag, 2006.
-
K. M. Grigoriadis and J. T. Watson, "Reduced-order
$H_{{\infty}}$ and$L_2-L{\infty}$ filtering via linear matrix inequalities," IEEE Transactions on Aerospace Electron Systems, vol. 33, pp. 1326-1338, 1997. https://doi.org/10.1109/7.625133 -
J. L. Rawson, C. S. Hsu, and H. Rho, "Reduced order
$H_{{\infty}}$ filters for discrete linear systems," Proceedings of Conference on Decision and Control, San Diego, CA, USA, pp. 3311-3316, 1997. -
S. Xu and T. Chen, "Reduced-order
$H_{{\infty}}$ filtering for stochastic systems," IEEE Transactions on Signal Processing, vol. 50, pp. 2998-3007, 2002. https://doi.org/10.1109/TSP.2002.805239 - M. Darouach. M. Zasadzinski, and M. Hayar, "Reduced-order observer design for descriptor systems with unknown inputs," IEEE Transactions on Automatic Control, vol. 41, pp. 1068-1072, 1996. https://doi.org/10.1109/9.508918
- L. Syrmos "Observer design for descriptor systems with unmeasurable disturbances," Proceedings of Conference on Decision and Control, Tucson, Arizona, USA, pp. 981-982, 1992.
-
S. Xu and J. Lam, "Reduced-order
$H_{{\infty}}$ filtering for singular systems," Systems and Control Letters, vol. 56, pp.48-57, 2007. https://doi.org/10.1016/j.sysconle.2006.07.010 - S. Xu and J. Lam, "Robust stability and stabilization of discrete singular systems: an equivalent characterization," IEEE Transactions on Automatic Control, vol. 49, pp. 568-574, 2004. https://doi.org/10.1109/TAC.2003.822854
- S. Boyd, L. El Ghaoui, E. Feron, and V. Balakrishnan, Linear Matrix Inequalities in System and Control Theory, Philadelphia, PA, SIAM, 1994.
- M. C. de Oliverira, J. Bernussou, and C. Geromel, "A new discrete-time robust stability condition," Systems and Control Letters, vol. 37, pp. 261-265, 1999. https://doi.org/10.1016/S0167-6911(99)00035-3
-
J. Zhang, Y. Xia, and P. Shi, "Parameter -dependent robust
$H_{{\infty}}$ filtering for uncertain discrete-time systems," Automatica, vol. 45, pp. 506-565, 2009.