Distributed H∞ filtering for repeated scalar nonlinear systems with random packet losses in sensor networks

International Journal of Systems Science

Volumn 42, Issue 9, 2011, Pages 1507-1519

  Dong, Hongli ^a,b   Lam, James ^c   Gao, Huijun ^b  

^a NORTHEAST PETROLEUM UNIVERSITY   (China)

^b HARBIN INSTITUTE OF TECHNOLOGY   (China)

^c UNIVERSITY OF HONG KONG   (Hong Kong)

Author keywords

distributed filtering; H filtering; packet losses; repeated scalar nonlinearity; sensor networks

Indexed keywords

DISCRETE-TIME; DISTRIBUTED FILTERING; FILTERING PROBLEMS; H INDICES; MEASUREMENT INFORMATION; MUTUALLY INDEPENDENTS; NETWORKED SENSORS; OPTIMISATIONS; ORIGINAL SYSTEMS; PACKET DROPOUTS; PERFORMANCE CONSTRAINTS; PROBABILISTIC DISTRIBUTION; PRODUCTION LINE; RANDOM PACKET LOSS; REPEATED SCALAR NONLINEARITY; SIMULATION STUDIES; STABILITY ANALYSIS; STATE-SPACE MODELS; STOCHASTIC STABILITY; STOCHASTIC VARIABLE; SUFFICIENT CONDITIONS; THEORETICAL RESULT;

NONLINEAR SYSTEMS; PACKET LOSS; PROBABILITY DISTRIBUTIONS; SENSOR NETWORKS; SIGNAL FILTERING AND PREDICTION; STOCHASTIC SYSTEMS;

SENSORS;

EID: 79960519555     PISSN: 00207721     EISSN: 14645319     Source Type: Journal    
DOI: 10.1080/00207721.2010.550403     Document Type: Article

References (47)

1. Alriksson, P., and Rantzer, A. (2006), 'Distributed Kalman Filtering using Weighted Averaging', in Proceedings of the 17th International Symposium on Mathematical Theory of Networks and Systems, Kyoto, Japan.
2. Boyd, S., Ghaoui, L.E., Feron, E., and Balakrishnan, V. (1994), Linear Matrix Inequalities in System and Control Theory, Philadelphia: SIAM.
3. Cao, J., and Wang, J. (2003), 'Global Asymptotic Stability of a General Class of Recurrent Neural Networks with Timevarying Delays', IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications, 50, 34-44.
4. Carli, R., Chiuso, A., Schenato, L., and Zampieri, S. (2008), 'Distributed Kalman Filtering Based on Consensus Strategies', IEEE Journal on Selected Areas in Communications, 26, 622-633. (Pubitemid 351658778)
5. Cattivelli, F.S., and Sayed, A.H. (2008), 'Diffusion Strategies for Distributed Kalman Filtering: Formulation and Performance Analysis', in Proceedings of the Cognitive Information Processing, Santorini, Greece, pp. 36-41.
6. Cattivelli, F.S., and Sayed, A.H. (2010), 'Diffusion Strategies for Distributed Kalman Filtering and Smoothing', IEEE Transactions on Automatic Control, 55, 1520-1533.
7. Chai, L., Hu, B., and Jiang, P. (2008), 'Distributed State Estimation Based on Quantized Observations in a Bandwidth Constrained Sensor Network', in Proceedings 7th World Congress on Intelligent Control and Automation, pp. 2411-2415.
8. Chu, Y. (2001), 'Further Results for Systems with Repeated Scalar Nonlinearities', IEEE Transactions on Automatic Control, 44, 2031-2035. (Pubitemid 34126261)
9. Chu, Y., and Glover, K. (1999), 'Bounds of the Induced Norm and Model Reduction Errors for Systems with Repeated Scalar Nonlinearities', IEEE Transactions on Automatic Control, 44, 4215-4226.
10. Chu, Y., and Glover, K. (1999), 'Stabilization and Performance Synthesis for Systems with Repeated Scalar Nonlinearities', IEEE Transactions on Automatic Control, 44, 484-496.
11. Dong, H., Wang, Z., and Gao, H. (2010), 'Robust H1 Filtering for a Class of Nonlinear Networked Systems with Multiple Stochastic Communication Delays and Packet Losses', IEEE Transactions on Signal Processing, 58, 1957-1966.
12. Dong, H., Wang, Z., Ho, D.W.C., and Gao, H. (2010), 'Variance-constrained H1 Filtering for Nonlinear Timevarying Stochastic Systems with Multiple Missing Measurements: The Finite-horizon Case', IEEE Transactions on Signal Processing, 58, 2534-2543.
13. Farina, M., Ferrari-Trecate, G., and Scattolini, R. (2009), 'Distributed Moving Horizon Estimation for Sensor Networks', in Proceedings of the 1st IFAC Workshop on Estimation and Control of Networked Systems, Venice, Italy, pp. 126-131.
14. Gao, H., and Chen, T. (2007), 'H1 Estimation for Uncertain Systems with Limited Communication Capacity', IEEE Transactions on Automatic Control, 52, 2070-2084.
15. Gao, H., Lam, J., and Wang, C. (2005), 'Induced l2 and Generalised H2 Filtering for Systems with Repeated Scalar Nonlinearities', IEEE Transactions on Signal Process, 53, 4215-4226. (Pubitemid 41622553)
16. He, X., Wang, Z., Ji, Y.D., and Zhou, D. (2010), 'Fault Detection for Discrete-time Systems in a Networked Environment', International Journal of Systems Science, 41, 937-945.
17. He, X., Wang, Z., and Zhou, D. (2009), 'Robust Fault Detection for Networked Systems with Communication Delay and Data Missing', Automatica, 45, 2634-2639.
18. Kamgarpour, M., and Tomlin, C. (2008), 'Convergence Properties of a Decentralised Kalman Filter', in Proceedings of the 47th IEEE Conference on Decision and Control, Cancun, Mexico, pp. 3205-3210.
19. Krikelis, N.J., and Barkas, S.K. (1984), 'Design of Tracking Systems Subject to Actuator Saturation and Integrator Wind-up', International Journal of Control, 39, 667-682. (Pubitemid 14570699)
20. Liang, J., Wang, Z., and Li, P. (2009), 'Robust Synchronisation of Delayed Neural Networks with Both Linear and Non-linear Couplings', International Journal of Systems Science, 40, 973-984.
21. Liu, D., and Michel, A.N. (1992), 'Asymptotic Stability of Discrete-time Systems with Saturation Nonlinearities with Applications to Digital Filters', IEEE Transactions on Circuits and Systems I, 39, 789-807.
22. Liu, H., Sun, F., He, K., and Sun, Z. (2006), 'Design of Reduced-order H1 Filter for Markovian Jumping Systems with Time Delay', IEEE Transactions on Circuits and Systems - II, 51, 1837-1841.
23. Mahmoud, M.S. (2000), Robust Control and Filtering for Time-Delay Systems, New York: Marcek-Dekker.
24. Mahmoud, M.S., and Xie, L. (2000), 'Guaranteed Cost Control of Uncertain Discrete Systems with Delays', International Journal of Control, 73, 105-114. (Pubitemid 35395455)
25. Michel, A.N., Si, J., and Yen, G. (1991), 'Analysis and Synthesis of a Class of Discrete-time Neural Networks Described on Hypercubes', IEEE Transactions on Neural Networks, 2, 32-46.
26. Olfati-Saber, R. (2006), 'Flocking for Multi-agent Dynamic Systems: Algorithms and Theory', IEEE Transactions on Automatic Control, 51, 401-420.
27. Olfati-Saber, R. (2007), 'Distributed Kalman Filtering for Sensor Networks', in Proceedings of the 46th IEEE Conference Decision and Control, New Orleans, LA, pp. 5492-5498. (Pubitemid 351278014)
28. Olfati-Saber, R. (2009), 'Kalman-consensus Filter Optimality Stability and Performance', in Proceedings of the 48th IEEE Conference Decision and Control, Shanghai, China, pp. 7036-7042.
29. Olfati-Saber, R., and Shamma, J.S. (2005), 'Consensus Filters for Sensor Networks and Distributed Sensor Fusion', in Proceedings of the 44th IEEE Conference Decision and Control, and the European Control Conference, Seville, Spain, pp. 6698-6703.
30. Pasha, S.A., Tuan, H.D., and Vo, B.-N. (2010), 'Nonlinear Bayesian Filtering using the Unscented Linear Fractional Transformation Model', IEEE Transactions on Signal Processing, 58, 477-489.
31. Shen, B., Wang, Z., and Hung, Y.S. (2010), 'Distributed H1- Filtering in Sensor Networks with Multiple Missing Measurements: The Finite-horizon Case', Automatica, 46, 1682-1688.
32. Shen, B., Wang, Z., Hung, Y.S., and Chesi, G. (in press), 'Distributed H1 Filtering for Polynomial Nonlinear Stochastic Systems in Sensor Networks', IEEE Transactions on Industrial Electronics, to appear (DOI: 10.1109/TIE.2010. 2053339).
33. Shen, B., Wang, Z., Shu, H., and Wei, G. (2008), 'On Nonlinear H1 Filtering for Discrete-time Stochastic Systems with Missing Measurements', IEEE Transactions on Automatic Control, 53, 2170-2180.
34. Shi, P., Mahmoud, M., Nguang, S.K., and Ismail, A. (2006), 'Robust Filtering for Jumping Systems with Modedependent Delays', Signal Processing, 86, 140-152. (Pubitemid 41681311)
35. Shu, Z., Lam, J., and Xiong, J. (2009), 'Non-fragile Exponential Stability Assignment of Discrete-time Linear Systems with Missing Data in Actuators', IEEE Transactions on Automatic Control, 54, 625-630.
36. Tamura, H. (1975), 'Decentralised Optimisation for Distributed-lag Models of Discrete Systems', Automatica, 11, 593-602.
37. Ugrinovskii, V. (2010), 'Distributed Robust Filtering with H1 Consensus of Estimations', in Proceedings of the 2010 American Control Conference, pp. 1374-1379.
38. Wang, Z., and Gao, H. (2009), 'Analysis and Synchronization of Complex Networks', International Journal of Systems Science, 40, 905-907.
39. Wang, Z., and Gao, H. (2010), 'Dynamics Analysis of Gene Regulatory Networks', International Journal of Systems Science, 41, 1-4.
40. Wang, Z., Ho, D.W.C., Liu, Y., and Liu, X. (2009), 'Robust H1 Control for a Class of Nonlinear Discrete Time-delay Stochastic Systems with Missing Measurements', Automatica, 45, 684-691.
41. Wang, Z., Yang, F., Ho, D.W.C., and Liu, X. (2006), 'Robust H1 Filtering for Stochastic Time-delay Systems with Missing Measurements', IEEE Transactions on Signal Processing, 54, 2579-2587.
42. Wu, L., Shi, P., Gao, H., and Wang, C. (2008), 'H1 Filtering for 2D Markovian Jump Systems', Automatica, 44, 1849-1858.
43. Xiong, J., and Lam, J. (2007), 'Stabilization of Linear Systems Over Networks with Bounded Packet Loss', Automatica, 43, 80-87. (Pubitemid 44792026)
44. You, K., and Xie, L. (in press), 'Minimum Data Rate for Mean Square Stabilisability of Linear Systems with Markovian Packet Losses', IEEE Transactions on Automatic Control, to appear (DOI: 10.1109/TAC.2010.2068590).
45. Yu, W., Chen, G., Wang, Z., and Yang, W. (2009), 'Distributed Consensus Filtering in Sensor Networks', IEEE Transactions on Systems Man and Cybernetics - B, 39, 1568-1577.
46. Zhang, H., Feng, G., Duan, G., and Lu, X. (2006), 'H1 Filtering for Multiple-time-delay Measurements', IEEE Transactions on Signal Processing, 54, 1681-1688.
47. Zhao, Y., Lam, J., and Gao, H. (2009), 'Fault Detection for Fuzzy Systems with Intermittent Measurement', IEEE Transactions on Fuzzy Systems, 17, 398-410.