Optimal linear estimation for networked systems with one-step random delays and multiple packet dropouts

Zidonghua Xuebao/Acta Automatica Sinica

Volumn 38, Issue 3, 2012, Pages 349-356

  Sun, Shu Li ^a  

^a HEILONGJIANG UNIVERSITY   (China)

Author keywords

Linear minimum variance; Optimal linear estimator; Packet dropout; Random delay

Indexed keywords

ANALYSIS APPROACH; BERNOULLI; DISTRIBUTED RANDOM VARIABLES; LINEAR ESTIMATION; LINEAR MINIMUM VARIANCE; LYAPUNOV EQUATION; NETWORKED SYSTEMS; OPTIMAL LINEAR ESTIMATORS; OPTIMAL LINEAR FILTER; PACKET DROPOUTS; RANDOM DELAY; SIMULATION EXAMPLE; SUFFICIENT CONDITIONS;

DATA COMMUNICATION SYSTEMS; ERROR ANALYSIS; LYAPUNOV FUNCTIONS; RICCATI EQUATIONS; TRANSMISSION CONTROL PROTOCOL;

OPTIMIZATION;

EID: 84861694455     PISSN: 02544156     EISSN: None     Source Type: Journal    
DOI: 10.3724/SP.J.1004.2012.00349     Document Type: Article

References (20)

1. Nilsson J, Bernhardsson B, Wittenmark B. Stochastic analysis and control of real-time systems with random time delays. Automatica, 1998, 34(1): 57-64
2. Sun Ye-Guo, Qin Shi-Yin. Stability and stabilization of networked control systems with bounded packet dropout. Acta Automatica Sinica, 2011, 37(1): 113-118
3. Li Hui, Wu Qing-He, Huang Huang. Control of spatially interconnected systems with random communication losses. Acta Automatica Sinica, 2010, 36(2): 259-266
4. Ma Wei-Guo, Shao Cheng. Stochastic stability for networked control systems. Acta Automatica Sinica, 2007, 33(8): 878-882
5. Zhang H, Xie L. Control and Estimation of Systems with Input/Output Delays. Berlin: Springer, 2007
6. Ray A, Liou L W, Shen J H. State estimation using randomly delayed measurements. Journal of Dynamic Systems, Measurement, and Control, 1993, 115(1): 19-26
7. Yaz E, Ray A. Linear unbiased state estimation under randomly varying bounded sensor delay. Applied Mathematics Letters, 1998, 11(4): 27-32
8. Nakamori S, Caballero-Aguila R, Hermoso-Carazo A, Linares-Perez J. Recursive estimators of signals from measurements with stochastic delays using covariance information. Applied Mathematics and Computation, 2005, 162(1): 65-79
9. Nahi N. Optimal recursive estimation with uncertain observation. IEEE Transactions on Information Theory, 1969, 15(4): 457-462
10. Tugnait J K. Stability of optimum linear estimators of stochastic signals in white multiplicative noise. IEEE Transactions on Automatic Control, 1981, 26(3): 757-761
11. Nakamori S, Caballero-Aguila R, Hermoso-Carazo A, Linares-Perez J. Linear recursive discrete-time estimators using covariance information under uncertain observations. Signal Processing, 2003, 83(7): 1553-1559
12. Wang Z, Ho D W C, Liu X. Robust filtering under randomly varying sensor delay with variance constraints. IEEE Transactions on Circuits and Systems II: Express Briefs, 2004, 51(6): 320-326
13. ∞ filtering for stochastic time-delay systems with missing measurements. IEEE Transactions on Signal Processing, 2006, 54(7): 2579-2587
14. 2 filtering with random sensor delay, multiple packet dropout and uncertain observations. International Journal of Control, 2007, 80(2): 292-301
15. 2 filtering in networked control systems with multiple packet dropout. IEEE Transactions on Automatic Control, 2007, 52(8): 1508-1513
16. Sun S, Xie L, Xiao W, Soh Y. Optimal linear estimation for systems with multiple packet dropouts. Automatica, 2008, 44(5): 1333-1342
17. Sun S, Xie L, Xiao W. Optimal full-order and reduced-order estimators for discrete-time systems with multiple packet dropouts. IEEE Transactions on Signal Processing, 2008, 56(8): 4031-4038
18. Sun S, Xie L, Xiao W. Optimal full-order filtering for discrete-time systems with random measurement delays and multiple packet dropouts. Journal of Control Theory and Applications, 2010, 8(1): 105-110
19. Sun S. Linear minimum variance estimators for systems with bounded random measurement delays and packet dropouts. Signal Processing, 2009, 89(7): 1457-1466
20. Anderson B D O, Moore J B. Optimal Filtering. New Jersey: Prentice-Hall, 1979