Quantised recursive filtering for a class of nonlinear systems with multiplicative noises and missing measurements

International Journal of Control

Volumn 86, Issue 4, 2013, Pages 650-663

  Hu, Jun ^a,b   Wang, Zidong ^c,d   Shen, Bo ^e   Gao, Huijun ^b  

^a HARBIN UNIVERSITY OF SCIENCE AND TECHNOLOGY   (China)

^b HARBIN INSTITUTE OF TECHNOLOGY   (China)

^c TSINGHUA UNIVERSITY   (China)

^d BRUNEL UNIVERSITY   (United Kingdom)

^e DONGHUA UNIVERSITY   (China)

Author keywords

missing measurements; multiplicative noises; nonlinear systems; quantisation effects; riccati like difference equation; time varying systems

Indexed keywords

BERNOULLI DISTRIBUTIONS; MISSING MEASUREMENTS; MULTIPLICATIVE NOISE; NONLINEAR TIME VARYING SYSTEMS; OCCURRENCE PROBABILITY; QUANTISATION; RICCATI-LIKE DIFFERENCE EQUATIONS; STOCHASTIC DISTURBANCES;

DIFFERENCE EQUATIONS; NONLINEAR SYSTEMS; PROBABILITY DISTRIBUTIONS; TIME VARYING SYSTEMS;

PHASE NOISE;

EID: 84876142734     PISSN: 00207179     EISSN: 13665820     Source Type: Journal    
DOI: 10.1080/00207179.2012.756149     Document Type: Article

References (32)

1. ∞ Filter Design for Linear Time-varying Systems with State and Measurement Delays. International Journal of Systems Science, 41: 411-421. doi: 10.1080/00207720903045825
2. Brockett, RW, and, Liberzon, D. 2000. Quantized Feedback Stabilisation of Linear Systems. IEEE Transactions on Automatic Control, 45: 1279-1289. doi: 10.1109/9.867021
3. Caballero-Águila, R, Hermoso-Carazo, A, Jiménez- López, JD, Linares-Pérez, J, and, Nakamori, S. 2010. Signal Estimation with Multiple Delayed Sensors using Covariance Information. Digital Signal Processing, 20: 528-540. doi: 10.1016/j.dsp.2009.06.011
4. Calafiore, G. 2005. Reliable Localization using Set-valued Nonlinear Filters. IEEE Transactions on Systems, Man, and Cybernetics-Part A: Systems and Humans, 35: 189-197. doi: 10.1109/TSMCA.2005.843383
5. Carli, R, Fagnani, F, Frasca, P, and, Zampieri, S. 2008. " A Probabilistic Analysis of the Average Consensus Algorithm with Quantized Communication ". In in Proceedings of the 17th IFAC World Congress 8062-8067. Seoul, Korea
6. Corradini, ML, and, Orlando, G. 2008. Robust Quantized Feedback Stabilisation of Linear Systems. Automatica, 44: 2458-2462. doi: 10.1016/j.automatica.2008.01.027
7. Coutinho, DF, Fu, M, and, de Souza, CE. 2010. Input and Output Quantized Feedback Linear Systems. IEEE Transactions on Automatic Control, 55: 761-766. doi: 10.1109/TAC.2010.2040497
8. Elia, N, and, Mitter, S. 2001. Stabilization of Linear Systems with Limited Information. IEEE Transactions on Automatic Control, 46: 1384-1400. doi: 10.1109/9.948466
9. Fu, M, and, de Souza, CE. 2009. State Estimation for Linear Discrete-time Systems using Quantized Measurements. Automatica, 45: 2937-2945. doi: 10.1016/j.automatica.2009.09.033
10. Fu, M, and, Xie, L. 2005. The Sector Bound Approach to Quantized Feedback Control. IEEE Transactions on Automatic Control, 50: 1698-1711. doi: 10.1109/TAC.2005.858689
11. Horn, RA, and, Johnson, CR. 1991. Topic in Matrix Analysis, New York: Cambridge University Press.
12. Hounkpevi, FO, and, Yaz, E. 2007. Robust Minimum Variance Linear State Estimators for Multiple Sensors with Different Failure Rates. Automatica, 43: 1274-1280. doi: 10.1016/j.automatica.2006.12.025
13. Hu, J, Wang, Z, Gao, H, and, Stergioulas, LK. 2012. Extended Kalman Filtering with Stochastic Nonlinearities and Multiple Missing Measurements. Automatica, 48: 2007-2015. doi: 10.1016/j.automatica.2012.03.027
14. ∞ Finite-horizon Filtering for a Class of Nonlinear Time-varying Systems with Sensor Saturations. Systems & Control Letters, 61: 477-484. doi: 10.1016/j.sysconle.2012.01.005
15. Kallapur, AG, Petersen, IR, and, Anavatti, SG. 2009. A Discrete-time Robust Extended Kalman Filter for Uncertain Systems with Sum Quadratic Constraints. IEEE Transactions on Automatic Control, 54: 850-854. doi: 10.1109/TAC.2008.2010962
16. Kallapur, AG, Vladimirov, IG, and, Petersen, IR. 2011. " Robust Filtering for Uncertain Nonlinear Systems Satisfying a Sum Quadratic Constraint ". In in 18th IFAC World Congress 1-7. Milan, Italy
17. Kiruluta, A, Eizenman, M, and, Pasupathy, S. 1997. Predictive Head Movement Tracking using a Kalman Filter. IEEE Transactions on Systems, Man, and Cybernetics-Part B: Cybernetics, 27: 326-331. doi: 10.1109/3477.558841
18. Kluge, S, Reif, K, and, Brokate, M. 2010. Stochastic Stability of the Extended Kalman Filter with Intermittent Observations. IEEE Transactions on Automatic Control, 55: 514-518. doi: 10.1109/TAC.2009.2037467
19. Lei, M, van Wyk, BJ, and, Qi, Y. 2011. Online Estimation of the Approximate Posterior Cramer-rao Lower Bound for Discrete-time Nonlinear Filtering. IEEE Transactions on Aerospace and Electronic Systems, 47: 37-57. doi: 10.1109/TAES.2011.5705658
20. Leong, AS, Dey, S, and, Evans, JS. 2008. On Kalman Smoothing with Random Packet Loss. IEEE Transactions on Signal Processing, 56: 3346-3351. doi: 10.1109/TSP.2008.920470
21. Moayedi, M, Foo, YK, and, Soh, YC. 2010. Adaptive Kalman Filtering in Networked Systems with Random Sensor Delays, Multiple Packet Dropouts and Missing Measurements. IEEE Transactions on Signal Processing, 58: 1577-1588. doi: 10.1109/TSP.2009.2037853
22. ∞ Filtering in Networked Control Systems with Multiple Packet Dropouts. Systems & Control Letters, 57: 696-702. doi: 10.1016/j.sysconle.2008.01.011
23. Sun, S, Xie, L, and, Xiao, W. 2008. Optimal Full-order and Reduced-order Estimators for Discrete-time Systems with Multiple Packet Dropouts. IEEE Transactions on Signal Processing, 56: 4031-4038. doi: 10.1109/TSP.2008.923196
24. Theodor, Y, and, Shaked, U. 1996. Robust Discrete-time Minimum-variance Filtering. IEEE Transactions on Signal Processing, 44: 181-189. doi: 10.1109/78.485915
25. ∞ Filtering with Randomly Occurring Sensor Saturations and Missing Measurements. Automatica, 48: 556-562. doi: 10.1016/j.automatica.2012.01.008
26. ∞ Control for Nonlinear Stochastic Time-delay Systems with Missing Measurements. IEEE Transactions on Automatic Control, 57: 1431-1444. doi: 10.1109/TAC.2011.2176362
27. Xie, L, Soh, YC, and, de Souza, CE. 1994. Robust Kalman Filtering for Uncertain Discrete-time Systems. IEEE Transactions on Automatic Control, 39: 1310-1314. doi: 10.1109/9.293203
28. ∞ Filter Design for Markovian Jump Systems with Uncertain Switching Probabilities. IEEE Transactions on Signal Processing, 54: 1421-1430. doi: 10.1109/TSP.2006.871880
29. Xiong, K, Liu, L, and, Liu, Y. 2011. Robust Extended Kalman Filtering for Nonlinear Systems with Multiplicative Noises. Optimal Control Applications and Methods, 32: 47-63. doi: 10.1002/oca.928
30. Xiong, K, Wei, C, and, Liu, L. 2010. Robust Extended Kalman Filtering for Nonlinear Systems with Stochastic Uncertainties. IEEE Transactions on Systems, Man, and Cybernetics-Part A: Systems and Humans, 40: 399-405. doi: 10.1109/TSMCA.2009.2037018
31. Yao, X, Wu, L, and, Zheng, W. 2011. Fault Detection Filter Design for Markovian Jump Singular Systems with Intermittent Measurements. IEEE Transactions on Signal Processing, 59: 3099-3109. doi: 10.1109/TSP.2011.2141666
32. ∞ Filtering for Multiple-time-delay Measurements. IEEE Transactions on Signal Processing, 54: 1681-1688. doi: 10.1109/TSP.2006.870585