Robust H∞ filtering for uncertain two-dimensional discrete systems with state-varying delays

International Journal of Control, Automation and Systems

Volumn 8, Issue 4, 2010, Pages 720-726

  Xu, Huiling ^a   Zou, Yun ^a  

^a NANJING UNIVERSITY OF SCIENCE AND TECHNOLOGY   (China)

Author keywords

Discrete systems; linear matrix inequality (LMI); robust H filtering; state varying delay; two dimensional systems

Indexed keywords

2-D DISCRETE SYSTEMS; DELAY DEPENDENT CONDITIONS; DISCRETE SYSTEMS; ILLUSTRATIVE EXAMPLES; LINEAR MATRIX INEQUALITY (LMI); LINEAR MATRIX INEQUALITY APPROACH; LOCAL STATE; PARAMETER UNCERTAINTY; PERFORMANCE LEVEL; ROBUST FILTERING; ROBUST H; STABLE FILTERS; TWO-DIMENSIONAL SYSTEMS; VARYING DELAY;

LINEAR MATRIX INEQUALITIES; TWO DIMENSIONAL;

FREQUENCY SELECTIVE FADING;

EID: 77957901463     PISSN: 15986446     EISSN: 20054092     Source Type: Journal    
DOI: 10.1007/s12555-010-0402-6     Document Type: Article

References (21)

1. S. F. Chen and I. Fong, "Robust filtering for 2-D state-delayed systems with NFT uncertainties," IEEE Trans. Signal Processing, vol. 54, pp. 274-285, 2006.
2. ∞ filtering for a class of uncertain nonlinear systems," Systems Control Lett., vol. 20, pp. 419-426, 1993. (Pubitemid 23709311)
3. ∞ Control and Filtering of Two-dimensional Systems, Springer-Verlag, Heidelberg, 2002.
4. E. Fornasini and G. Marchesini, "State-space resli-zation theory of two-dimensional filters," IEEE Trans. Automat. Control, vol. 21, pp. 484-492, 1976.
5. ∞ filter design for linear time delay systems. IEEE Trans. Signal Processing, vol. 49 pp. 2839-2843, 2001.
6. ∞ estimation for uncertain systems," Int. J. Robust Nonlinear Control, vol. 5, pp. 217-220, 2008.
7. ∞ filters for 2-D systems," IEEE Signal Processing Letters, vol. 15, pp. 217-220, 2008.
8. ∞ control theory," IEEE Trans. Automat. Control, vol. 35, pp. 356-361, 1990.
9. Z. Lin, "Feedback stabilizability of MIMO n-D linear systems," Multidimensional Systems and Signal Processing, vol. 9, pp. 149-172, 1998.
10. Z. Lin, "Feedback stabilization of MIMO 3-D linear systems," IEEE Trans. Automat. Control, vol. 44, pp. 1950-1955, 1999.
11. Z. Lin, J. Lam, K. Galkowski, and S. Xu, "A constructive approach to stabilizability and stabilization of a class of nD systems," Multidimensional Systems and Signal Processing, vol. 12, pp. 329-343, 2001.
12. Z. Lin, J. Ying, and L. Xu, "An algebraic approach to strong stabilizability of linear n-D MIMO systems," IEEE Trans. Automat. Control, vol. 47, pp. 1510-1514, 2002.
13. W. Paszke, J. Lam, K. Galkowski, S. Xu, and Z. Lin, "Robust stability and stabilization of 2D discrete state-delayed systems," Systems Control Lett., vol. 51, pp. 277-291, 2004.
14. ∞ filtering of 2-D systems," IEEE Trans. Automat. Control, vol. 50, pp. 1759-1771, 2002.
15. Y. Wang, L. Xie, and C. E. de Souza, "Robust control of a class of uncertain nonlinear systems," Systems Control Lett., vol. 19, pp. 139-149, 1992.
16. L. Xie, Y. C. Soh, and C. E. de Souza, "Robust Kalman filtering for uncertain discrete-time systems," IEEE Trans. Automat. Control, vol. 39, pp. 1310-1314, 1994.
17. ∞ filter design for uncertain systems with distributed delays," IEEE Trans. Circuits Syst. II, vol. 51, pp. 195-201, 2004.
18. ∞ filtering for uncertain Markovian jump systems with mode-dependent time delays," IEEE Trans. Automat. Control, vol. 48, pp. 900-907, 2003.
19. S. Xu, J. Lam, K. Galkowski, Z. Lin, W. Paszke, B. Sulikowski, E. Rogers, and D. H. Owens, "Positive real control of two-dimensional systems: Roesser models and linear repetitive processes," Int. J. Control, vol. 76, pp. 1047-1058, 2003.
20. S. Xu, J. Lam, Z. Lin, and K. Galkowski, "Positive real control for uncertain two-dimensional systems," IEEE Trans. Circuits Syst. I, vol. 49, pp. 1659-1666, 2002.
21. ∞-norm estimation," IEEE Trans. Automat. Control, vol. 37, pp. 828-831, 1992.