This paper addresses event-triggered H_∞ filtering for networked Takagi–Sugeno fuzzy systems with the asynchronous constraints of the membership functions. First, an event-triggered communication (ETC) scheme is proposed to trigger the transmission only when the variation of the sampled vector exceeds a prescribed threshold condition. Second, a model of fuzzy filtering error system is built under consideration of the ETC scheme, asynchronous premise and communication delay in a unified framework. Then, less conservative criteria on H_∞ filtering analysis and design are derived by making use of the re-constructed asynchronous premises. Finally, two examples are used to show the effectiveness of the proposed method.

References

1. 1)
  - 6. Gu, Z., Tian, E., Liu, J.: ‘Reliable H∞ filter design for sampled-data systems with consideration of probabilistic sensor signal distortion’, IET Signal Process., 2013, 7, (5), pp. 420–426 (doi: 10.1049/iet-spr.2011.0385).
2. 2)
  - 21. Chen, H.: ‘Delay-dependent robust H∞ filter design for uncertain neutral stochastic system with time-varying delay’, IET Signal Process., 2013, 7, (5), pp. 368–381 (doi: 10.1049/iet-spr.2012.0112).
3. 3)
  - 32. Kim, D.W., Lee, H.J.: ‘Comments on ‘T–S fuzzy-model-based robust H∞ design for networked control systems with uncertainties’, IEEE Trans. Ind. Inf., 2009, 5, (4), p. 507.
4. 4)
  - 24. Peng, C., Fei, M.R.: ‘Networked H∞ filtering for discrete linear systems with a periodic event-triggering communication scheme’, IET Signal Process., 2013, 7, (8), pp. 754–765 (doi: 10.1049/iet-spr.2013.0033).
5. 5)
  - 8. Peng, C., Yang, T.C.: ‘Event-triggered communication and H∞ control co-design for networked control systems’, Automatica, 2013, 49, (5), pp. 1326–1332 (doi: 10.1016/j.automatica.2013.01.038).
6. 6)
  - 9. Heemels, W., Donkers, M., Teel, A.: ‘Periodic event-triggered control for linear systems’, IEEE Trans. Autom. Control, 2013, 58, (4), pp. 847–861 (doi: 10.1109/TAC.2012.2220443).
7. 7)
  - 33. Tian, E., Yue, D.: ‘Reliable H∞ filter design for T–S fuzzy model-based networked control systems with random sensor failure’, Int. J. Robust Nonlinear Control, 2013, 23, (1), pp. 15–32 (doi: 10.1002/rnc.1811).
8. 8)
  - 16. Zhang, H., Wang, J.: ‘Ammonia coverage ratio and input simultaneous estimation in ground vehicle selective catalytic reduction (SCR) systems’, J. Franklin Inst., 2014, 352, (2), pp. 708–723 (doi: 10.1016/j.jfranklin.2014.06.009).
9. 9)
  - 4. Zhang, W.A., Yu, L.: ‘Output feedback stabilization of networked control systems with packet dropouts’, IEEE Trans. Autom. Control, 2007, 52, (9), pp. 1705–1710 (doi: 10.1109/TAC.2007.904284).
10. 10)
  - 11. Liu, D., Hao, F.: ‘Decentralized event-triggered control strategy in distributed networked systems with delays’, Int. J. Control Autom. Syst., 2013, 11, (1), pp. 33–40 (doi: 10.1007/s12555-012-0094-1).
11. 11)
  - 31. Peng, C., Yue, D., Fei, M.R.: ‘Relaxed stability and stabilization conditions of networked fuzzy control systems subject to asynchronous grades of membership’, IEEE Trans. Fuzzy Syst., 2014, 22, (5), pp. 1101–1112 (doi: 10.1109/TFUZZ.2013.2281993).
12. 12)
  - 3. Yang, T.C.: ‘Networked control system: a brief survey’, IEE Proc. Control Theory Appl., 2006, 153, (4), pp. 403–412 (doi: 10.1049/ip-cta:20050178).
13. 13)
  - 28. Hu, S., Zhang, Y., Yin, X., et al: ‘T–S fuzzy-model-based robust stabilization for a class of nonlinear discrete-time networked control systems’, Nonlinear Anal., Hybrid Syst., 2013, 8, pp. 69–82 (doi: 10.1016/j.nahs.2012.11.001).
14. 14)
  - 12. Peng, C., Han, Q.L., Yue, D.: ‘To transmit or not to transmit: a discrete event-triggered communication scheme for networked Takagi–Sugeno fuzzy systems’, IEEE Trans. Fuzzy Syst., 2013, 21, (1), pp. 164–170 (doi: 10.1109/TFUZZ.2012.2199994).
15. 15)
  - 35. Park, P., Ko, J.W., Jeong, C.: ‘Reciprocally convex approach to stability of systems with time-varying delays’, Automatica, 2011, 47, (1), pp. 235–238 (doi: 10.1016/j.automatica.2010.10.014).
16. 16)
  - 23. Hu, S., Yue, D.: ‘Event-based H∞ filtering for networked system with communication delay’, Signal Process., 2012, 92, (9), pp. 2029–2039 (doi: 10.1016/j.sigpro.2012.01.012).
17. 17)
  - 37. Yoneyama, J.: ‘Robust H∞ control of uncertain fuzzy systems under time-varying sampling’, Fuzzy Sets Syst., 2010, 161, (6), pp. 859–871 (doi: 10.1016/j.fss.2009.06.010).
18. 18)
  - 7. Heemels, W., Donkers, M.: ‘Model-based periodic event-triggered control for linear systems’, Automatica, 2013, 49, (3), pp. 698–711 (doi: 10.1016/j.automatica.2012.11.025).
19. 19)
  - 1. Zhang, W., Branicky, M.S., Phillips, S.M.: ‘Stability of networked control systems’, IEEE Control Syst. Mag., 2001, 21, (1), pp. 84–99 (doi: 10.1109/37.898794).
20. 20)
  - 2. Yue, D., Han, Q.L., Peng, C.: ‘State feedback controller design of networked control systems’, IEEE Trans. Circuits Syst. II, Express Briefs, 2004, 51, (11), pp. 640–644 (doi: 10.1109/TCSII.2004.836043).
21. 21)
  - 38. Feng, G.: ‘Robust H∞ filtering of fuzzy dynamic systems’, IEEE Trans. Aerosp. Electron. Syst., 2005, 41, (2), pp. 658–670 (doi: 10.1109/TAES.2005.1468755).
22. 22)
  - 15. Yang, F., Li, Y.: ‘Robust set-membership filtering for systems with missing measurement: a linear matrix inequality approach’, IET Signal Process., 2012, 6, (4), pp. 341–347 (doi: 10.1049/iet-spr.2009.0244).
23. 23)
  - 30. Lam, H.K., Wu, L., Zhao, Y.: ‘Linear matrix inequalities-based membership-function-dependent stability analysis for non-parallel distributed compensation fuzzy-model-based control systems’, IET Control Theory Appl., 2014, 8, (8), pp. 614–625 (doi: 10.1049/iet-cta.2013.0171).
24. 24)
  - 22. Meng, X., Chen, T.: ‘Event triggered robust filter design for discrete-time systems’, IET Control Theory Appl., 2014, 8, (2), pp. 104–113 (doi: 10.1049/iet-cta.2013.0541).
25. 25)
  - 26. Zhang, H., Wang, J.: ‘State estimation of discrete-time Takagi–Sugeno fuzzy systems in a network environment’, IEEE Trans. Cybern., 2014, doi: 10.1109/TCYB.2014.2354431.
26. 26)
  - 29. Zhang, H., Yang, J., Su, C.Y.: ‘T–S fuzzy-model-based robust H∞ design for networked control systems with uncertainties’, IEEE Trans. Ind. Inf., 2007, 3, (4), pp. 289–301 (doi: 10.1109/TII.2007.911895).
27. 27)
  - 36. Zhu, X.L., Chen, B., Wang, Y., et al: ‘H∞stabilization criterion with less complexity for nonuniform sampling fuzzy systems’, Fuzzy Sets Syst., 2013, 225, pp. 58–73 (doi: 10.1016/j.fss.2012.12.011).
28. 28)
  - 27. Peng, C., Fei, M.R., Tian, E.G.: ‘Networked control for a class of T–S fuzzy systems with stochastic sensor faults’, Fuzzy Sets Syst., 2013, 212, pp. 62–77 (doi: 10.1016/j.fss.2012.09.015).
29. 29)
  - 14. Peng, C., Han, Q.L.: ‘A novel event-triggered transmission scheme and L2 control co-design for sampled-data control systems’, IEEE Trans. Autom. Control, 2014, 58, (10), pp. 2620–2626 (doi: 10.1109/TAC.2013.2256015).
30. 30)
  - 13. Zhang, X.M., Han, Q.L.: ‘Event-triggered dynamic output feedback control for networked control systems’, IET Control Theory Appl., 2014, 8, (4), pp. 226–234 (doi: 10.1049/iet-cta.2013.0253).
31. 31)
  - 25. Xie, X., Ma, H., Zhao, Y., et al: ‘Control synthesis of discrete-time T–S fuzzy systems based on a novel non-PDC control scheme’, IEEE Trans. Fuzzy Syst., 2013, 21, (1), pp. 147–157 (doi: 10.1109/TFUZZ.2012.2210049).
32. 32)
  - 5. Chen, T., Francis, B.A.: ‘Input–output stability of sampled-data systems’, IEEE Trans. Autom. Control, 1991, 36, (1), pp. 50–58 (doi: 10.1109/9.62267).
33. 33)
  - 34. Jiang, B., Mao, Z., Shi, P.: ‘H∞filter design for a class of networked control systems via T–S fuzzy-model approach’, IEEE Trans. Fuzzy Syst., 2010, 18, (1), pp. 201–208 (doi: 10.1109/TFUZZ.2009.2037009).
34. 34)
  - 18. Fridman, E., Shaked, U., Xie, L.: ‘Robust H∞ filtering of linear systems with time-varying delay’, IEEE Trans. Autom. Control, 2003, 48, (1), pp. 159–165 (doi: 10.1109/TAC.2002.806674).
35. 35)
  - 17. Kalman, R.E.: ‘A new approach to linear filtering and prediction problems’, J. Basic Eng., 1960, 82, (1), pp. 35–45 (doi: 10.1115/1.3662552).
36. 36)
  - 28. Zhang, H., Shi, Y., Wang, J.M.: ‘On energy-to-peak filtering for nonuniformly sampled nonlinear systems: a Markovian jump system approach’, IEEE Trans. Fuzzy Syst., 2014, 22, (1), pp. 212–222 (doi: 10.1109/TFUZZ.2013.2250291).
37. 37)
  - 19. Liu, J., Yue, D., Gu, Z., et al: ‘H∞filtering for systems with time-varying delay satisfying a certain stochastic characteristic’, IET Signal Process., 2011, 5, (8), pp. 757–766 (doi: 10.1049/iet-spr.2010.0119).
38. 38)
  - 10. Yue, D., Tian, E., Han, Q.L.: ‘A delay system method for designing event-triggered controllers of networked control systems’, IEEE Trans. Autom. Control, 2013, 58, (2), pp. 475–481 (doi: 10.1109/TAC.2012.2206694).

Event-triggered H_∞ filtering for networked Takagi–Sugeno fuzzy systems with asynchronous constraints

References

Related content

Event-triggered H∞ filtering for networked Takagi–Sugeno fuzzy systems with asynchronous constraints

References

Related content

Event-triggered H_∞ filtering for networked Takagi–Sugeno fuzzy systems with asynchronous constraints