Fuzzy H∞ filtering for nonlinear Markovian jump neutral systems

International Journal of Systems Science

Volumn 42, Issue 5, 2011, Pages 767-780

  Shen, Hao ^a   Xu, Shengyuan ^a   Zhou, Jianping ^a   Lu, Jinjun ^b,c  

^a NANJING UNIVERSITY OF SCIENCE AND TECHNOLOGY   (China)

^b NANTONG UNIVERSITY   (China)

^c NANTONG TEXTILE VOCATIONAL TECHNOLOGY COLLEGE   (China)

Author keywords

delay dependent criteria; fuzzy H filtering; neutral systems; non fragile filter; nonlinear Markovian jump systems

Indexed keywords

BOUNDED REAL LEMMA; DELAY-DEPENDENT; DELAY-DEPENDENT CRITERIA; FILTER DESIGNS; FILTERING ERROR; LYAPUNOV FUNCTIONALS; MARKOVIAN; MARKOVIAN JUMP SYSTEMS; MARKOVIAN JUMPS; NEUTRAL SYSTEMS; NON-FRAGILE; NON-FRAGILE H; NUMERICAL EXAMPLE; PERFORMANCE LEVEL; TAKAGI SUGENO FUZZY MODELS;

CLOSED LOOP SYSTEMS; DELAY CONTROL SYSTEMS; DISCRETE TIME CONTROL SYSTEMS; LINEAR MATRIX INEQUALITIES;

FUZZY FILTERS;

EID: 79952014648     PISSN: 00207721     EISSN: 14645319     Source Type: Journal    
DOI: 10.1080/00207721003790351     Document Type: Article

References (29)

1. Arrifano, N.S., and Oliveira, V.A. (2006), 'Robust H∞ Fuzzy Control Approach for a Class of Markovian Jump Nonlinear Systems', IEEE Transactions on Fuzzy Systems, 14, 738-754. (Pubitemid 46432455)
2. Assawinchaichote, W., Nguang, S., and Shi, P. (2007), 'Robust H∞ Fuzzy Filter Design for Uncertain Nonlinear Singularly Perturbed Systems with Markovian Jumps: an LMI Approach', Information Sciences, 177, 1699-1714. (Pubitemid 46107435)
3. Basin, M.V., and Calderon-Alvarez, D. (2008), 'Alternative Optimal Filter for Linear Systems with Multiple State and Observation Delays', International Journal of Innovative Computing, Information and Control, 4, 2889-2898.
4. Basin, M.V., Shi, P., and Calderon-Alvarez, D. (2010), 'Central Suboptimal H∞ Filter Design for Linear Timevarying Systems with State and Measurement Delays', International Journal of Systems Science, 41, 411-421.
5. Basin, M.V., Shi, P., Calderon-Alvarez, D., and Wang, J. (2009), 'Central Suboptimal H∞ Filter Design for Linear Time-varying Systems with State or Measurement Delay', Circuit, Systems and Signal Processing, 28, 305-330.
6. Boukas, E.K. (2005), 'Stabilization of Stochastic Nonlinear Hybrid Systems', International Journal of Innovative Computing, Information and Control, 1, 131-141.
7. Chen, B., Liu, X., and Tong, S. (2006), 'Memory State Feedback Guaranteed Cost Control for Neutral Delay Systems', International Journal of Innovative Computing, Information and Control, 2, 293-303.
8. Chen, W., and Zheng, W. (2007), 'Delay-dependent Robust Stabilisation for Uncertain Neutral Systems with Distributed Delays', Automatica, 43, 95-104. (Pubitemid 44792028)
9. Costa, O.L.V., and Fragoso, M.D. (1995), 'Discrete-time LQ-optimal Control Problems for Infinite Markovian Jump Parameter Systems', IEEE Transactions on Automatic Control, 40, 2076-2088.
10. de Souza, C.E., Coutinho, D.F., and Barbosa, K.A. (December, 2006), 'H∞ Filtering for a Class of Uncertain Markov Jump Nonlinear Systems', in Proceedings of the 45th IEEE Conferences Decision and Control, San Diego, CA, USA, pp. 5531-5536. (Pubitemid 351283631)
11. Gu, K., Kharitonov, V.L., and Chen, J. (2003), Stability of Time-delay Systems, Boston: Birkhäuser.
12. He, S., and Liu, F. (2008), 'Unbiased H∞ Filtering for Neutral Markovian Jump Systems', Applied Mathematics and Computation, 206, 175-185.
13. He, Y., Wang, Q.-G., Xie, L., and Lin, C. (2007), 'Further Improvement of Free-weighting Matrices Technique for Systems with Time-varying Delay', IEEE Transactions on Automatic Control, 52, 293-299. (Pubitemid 46444284)
14. Lin, C., Wang, Q.-G., Lee, T.H., and Chen, B. (2008), 'H∞ Filter Design for Nonliear Systems with Time-delay Through T-S Fuzzy Model Approach', IEEE Transactions on Fuzzy Systems, 16, 739-746.
15. Lou, X., and Cui, B. (2009), Stochastic Stability Analysis for Delayed Neural Networks of Neutral Type with Markovian Jump Parameters', Chaos, Solitons and Fractals, 39, 2188-2197.
16. Lu, G., Ho, D.W.C., and Yeung, L.F. (2003), 'Strict Positive Realness for Linear Time-delay Systems', International Journal of Systems Science, 34, 1-9.
17. Mahmoud, M.S. (2004), Resilient Linear Filtering of Uncertain Systems', Automatica, 40, 1797-1802.
18. Mahmoud, M.S., Shi, P., Yi, J., and Pan, J.-S. (2006), 'Robust Observers for Neutral Jumping Systems with Uncertain Information', Information Sciences, 176, 2355-2385. (Pubitemid 43810185)
19. Shao, H. (2008), 'Delay-range-dependent Robust H∞ Filtering for Uncertain Stochastic Systems with Mode- dependent Time Delays and Markovian Jump Parameters', Journal of Mathematical Analysis Applications, 342, 1084-1095.
20. Shi, P., Mahmound, M., Nuang, S.K., and Ismail, A. (2006), Robust Filtering for Jumping Systems with Mode-dependent Delays', Signal Processing, 86, 140-152. (Pubitemid 41681311)
21. Tanaka, K., Ikeda, T., and Wang, H.O. (1996), 'Robust Stabilisation ofa Class of Uncertain Nonlinear Systems via Fuzzy Control: Quadratic Stabilisability, H∞ Control Theory, and Linear Matrix Inequalities', IEEE Transactions on Fuzzy Systems, 4, 1-13. (Pubitemid 126782416)
22. Wu, H.-N., and Cai, K.-Y. (2006), Mode-independent Robust Stabilisation for Uncertain Markovian Jump Nonlinear Systems via Fuzzy Control', IEEE Transactions on Systems and Man Cybernetics Part B, 36, 509-519. (Pubitemid 43811310)
23. Wu, L., and Ho, D.W.C. (2009), Fuzzy Filter Design for Nonlinear Ito Stochastic Systems with Application to Sensor Fault Detection', IEEE Transactions on Fuzzy Systems, 2009, 233-242.
24. Wu, L., and Wang, Z. (2009), 'Fuzzy Filtering of Nonlinear Fuzzy Systems with Stochastic Perturbation and Timevarying Delay', Signal Processing, 89, 1739-1753.
25. Xu, S., Chu, Y., Lu, J., and Zou, Y. (2006), 'Exponential Dynamic Outout Controller Design for Stochastic Neutral with Distributed Delays', IEEE Transactions on Systems, Man and Cybernetics Part A, 36, 540-547.
26. Xu, S., and Lam, J. (2008), A Survey of Linear Matrix Inequality Techniques in Stability Analysis of Delay Systems', International Journal of Systems Science, 39, 1095-1113.
27. Xu, S., Lam, J., and Mao, X. (2007), 'Delay-dependent H∞ Control and Filtering for Uncertain Markovian Jump Systems with Time-varying Delays', IEEE Transactions on Circuits Systems I, 54, 2070-2077. (Pubitemid 47456047)
28. Yang, G.-H., and Che, W.W. (2008), 'Non-fragile H∞ Filter Design for Linear Continuous-time Systems', Automatica, 44, 2849-2856.
29. Zhou, S., Feng, G., and Feng, C.-B. (2005), Robust Control for a Class of Uncertain Nonlinear Systems: Adaptive Fuzzy Approach Based on Backstepping', Fuzzy Sets and Systems, 151, 1-20. (Pubitemid 40146238)