Robust state estimation for two-dimensional stochastic time-delay systems with missing measurements and sensor saturation

Multidimensional Systems and Signal Processing

Volumn 25, Issue 1, 2014, Pages 157-177

  Liang, Jinling ^a   Wang, Zidong ^b   Liu, Xiaohui ^b  

^a SOUTHEAST UNIVERSITY   (China)

^b BRUNEL UNIVERSITY   (United Kingdom)

Author keywords

Missing measurements; Parameter uncertainties; Sensor saturation; State estimation; Stochastic disturbances; Two dimensional (2 D) systems

Indexed keywords

ASYMPTOTIC STABILITY; DELAY CONTROL SYSTEMS; NUMERICAL METHODS; STABILITY CRITERIA; STATE ESTIMATION; STOCHASTIC SYSTEMS; TIME DELAY; TIMING CIRCUITS; UNCERTAINTY ANALYSIS;

MISSING MEASUREMENTS; PARAMETER UNCERTAINTY; SENSOR SATURATIONS; STOCHASTIC DISTURBANCES; TWO-DIMENSIONAL (2D) SYSTEMS;

PARAMETER ESTIMATION;

EID: 84891871796     PISSN: 09236082     EISSN: None     Source Type: Journal    
DOI: 10.1007/s11045-012-0197-0     Document Type: Article

References (40)

1. Boyd S., Ghaoui L. E., Feron E., Balakrishnan V. (1994) Linear matrix inequalities in system and control theory. SIAM, Philadelphia
2. ∞ controller design for linear systems subject to sensor nonlinearities. IEEE Transactions on Circuits and Systems-I: Fundamental Theory and Applications 50(7): 914-921
3. Chen J., Chen X. (2001) Special matrices. Tsinghua University Press, China
4. Chen S. F. (2010) Stability analysis for 2-D systems with interval time-varying delays and saturation nonlinearities. Signal Processing 90(7): 2265-2275
5. ∞ filtering for uncertain 2-D state-delayed systems. Signal Processing 87(11): 2659-2672 (Pubitemid 47048841)
6. Chow T. W. S., Fang Y. (2000) learning strategy for multilayer feedforward neural network. Neurocomputing 34: 195-206 (Pubitemid 30657709)
7. Cui J. R., Hu G. D. (2010) State estimation of 2-D stochastic systems represented by FM-II model. Acta Automatica Sinica 36(5): 755-761
8. Dey A., Kar H. (2011) Robust stability of 2-D discrete systems employing generalized overflow nonlinearities: An LMI approach. Digital Signal Processing 21(2): 262-269
9. ∞ filtering for a class of nonlinear networked systems with multiple stochastic communication delays and packet dropouts. IEEE Transactions on Signal Processing 58(4): 1957-1966
10. ∞ state estimation of 2-D discrete systems. In Proceedings of the American control conference (Vol. 6, pp. 4428-4432). San Diego, CA (Pubitemid 32079274)
11. ∞ filtering of 2-D discrete systems. IEEE Transactions on Signal Processing 48(6): 1760-1768
12. ∞ control and robust stabilization of two-dimensional systems in Roesser models. Automatica 37(2): 205-211 (Pubitemid 32029130)
13. Dumitrescu B. (2008) LMI stability tests for the Fornasini-Marchesini model. IEEE Transactions on Signal Processing 56(8): 4091-4095
14. Fornasini E., Marchesini G. (1978) Doubly-indexed dynamical systems: State-space models and structural properties. Mathematical Systems Theory 12(1): 59-72
15. ∞ model reduction for uncertain two-dimensional discrete systems. Optimal control Applications and Methods 26(4): 199-227 (Pubitemid 41229459)
16. ∞ control of two-dimensional Markovian jump systems. IMA Journal of Mathematical Control and Information 21(4): 377-392
17. Gao H., Lam J., Xu S., Wang C. (2005) Stability and stabilization of uncertain 2-D discrete systems with stochastic perturbation. Multidimensional Systems and Signal Processing 16(1): 85-106 (Pubitemid 40329464)
18. He X., Wang Z., Zhou D. (2009) Robust fault detection for networked systems with communication delay and data missing. Automatica 45(11): 2634-2639
19. Hinamoto T. (1993) 2-D Lyapunov equation and filter design based on the Fornasini-Marchesini second model. IEEE Transactions on Circuits and Systems-I: Fundamental Theory and Applications 40(2): 102-110
20. Hmamed A., Mesquine F., Tadeo F., Benhayoun M., Benzaouia A. (2010) Stabilization of 2D saturated systems by state feedback control. Multidomensional Systems and Signal Processing 21(3): 277-292
21. Kaczorek T. (1985) Two-dimensional linear systems. Springer, Berlin, Germany
22. Lam J., Xu S., Zou Y., Lin Z., Galkowski K. (2004) Robust output feedback stabilization for two-dimensional continuous systems in Roesser form. Applied Mathematics Letters 17(12): 1331-1341 (Pubitemid 40114650)
23. Lin Z. (1988) Feedback stabilization of multivariable two-dimensional linear systems. International Journal of Control 48(3): 1301-1317
24. Lin Z., Lam J., Galkowski K., Xu S. (2001) A constructive approach to stabilizability and stabilization of a class of nD systems. Multidimensional Systems and Signal Processing 12(3-4): 329-343 (Pubitemid 32975200)
25. Liu D., Michel A. N. (1994) Stability analysis of state-space realizations for two-dimensional filters with overflow nonlinearities. IEEE Transactions on Circuits and Systems-I: Fundamental Theory and Applications 41(2): 127-137
26. ∞ filtering for 2-D systems with intermittent measurements. Circuits, Systems, and Signal Processing 28(2): 283-303
27. Marszalek W. (1984) Two-dimensional state-space discrete models for hyperbolic partial differential equations. Applied Mathematical Modelling 8(1): 11-14 (Pubitemid 15487727)
28. Moayedi M., Foo Y. K., Soh Y. C. (2010) Adaptive Kalman filtering in networked systems with random sensor delays, multiple packet dropouts and missing measurements. IEEE Transactions on Signal Processing 58(3): 1577-1588
29. Paszke W., Lam J., Galkowski K., XuS. Lin Z. (2004) Robust stability and stabilization of 2D discrete state-delayed systems. Systems & Control Letters 51(3-4): 277-291
30. Singh V. (2005) Robust stability of 2-D digital filters employing saturation. IEEE Signal Processing Letters 12(2): 142-145 (Pubitemid 40181875)
31. Wang Y., Xie L., de Souza C.E. (1992) Robust control of a class of uncertain nonlinear systems. Systems & Control Letters 19(2): 139-149 (Pubitemid 23572546)
32. ∞ finite-horizon control for a class of stochastic nonlinear time-varying systems subject to sensor and actuator saturations. IEEE Transactions on Automatic Control 55(7): 1716-1722
33. ∞ filtering for two-dimensional linear parameter-varying systems. International Journal of Robust and Nonlinear Control 17(12): 1129-1154 (Pubitemid 47117245)
34. Wu L., Wang Z., Gao H., Wang C. (2007) Filtering for uncertain two-dimensional discrete systems with state delays. Signal Processing 87(9): 2213-2230 (Pubitemid 46686804)
35. ∞ and robust control of 2-D systems in FM second model. Multidimensional Systems and Signal Processing 13(3): 265-287 (Pubitemid 34811786)
36. ∞ control for a class of uncertain nonlinear two-dimensional systems with state delays. Journal of the Franklin Institute 342(7): 877-891 (Pubitemid 41436421)
37. ∞ control for 2-D discrete state delayed systems in the second FM model. Acta Automatica Sinica 34(7): 809-813
38. Yang V., Li Y. (2009) Set-membership filtering for systems with sensor saturation. Automatica 45(8): 1896-1902
39. ∞ control of two-dimensional systems in Roesser model. Automatica 42(9): 1507-1514 (Pubitemid 44097018)
40. Yao, J., Wang, W., & Ye, S. (2010). Robust stabilization of 2-D state-delayed systems with stochastic perturbation. In 11th international conference on control, automation, robotics and vision (pp. 1951-1956). Singapore, 7-10th December.