© The Institution of Engineering and Technology
This study investigates an control problem for a class of stochastic nonlinear systems where the measurement outputs subject to randomly occurring sensor saturations are transmitted through the network link and will inevitably encounter the random delays and multiple packet dropouts. The networkinduced phenomena have the random nature which is governed by Bernoulli distributed stochastic variables. The existence of transmission delays will lead to the packets arriving at the receiver side with one or multiple or none at each sampling instants, which are stored in a finite buffer and are all used to update the observer. By employing stochastic analysis and Lyapunov functional approaches, an observerbased nonlinear controller is designed via linear matrix inequality technique. The asymptotic stability with a given disturbance attenuation level is guaranteed by solving the feasibility of certain LMI. A simulation example is exploited to illustrate the usefulness and effectiveness of the proposed method.
References


1)

1. Zhang, J., Xia, Y., Shi, P.: ‘Design and stability analysis of networked predictive control systems’, IEEE Trans. Control Syst. Technol., 2013, 21, (4), pp. 1495–1501.

2)

2. Li, H., Wu, C., Wu, L., et al: ‘Filtering of interval type2 fuzzy systems with intermittent measurements’, IEEE Trans. Cybern., 2016, 46, (3), pp. 668–678.

3)

3. Sun, S.L.: ‘Optimal linear filters for discretetime systems with randomly delayed and lost measurements with/without time stamps’, IEEE Trans. Autom. Control, 2013, 58, (6), pp. 1551–1556.

4)

4. Wen, J.W., Peng, L., Nguang, S.K.: ‘Asynchronous H∞ filtering of switched timedelay systems with network induced random occurrences’, Signal Process., 2014, 98, (5), pp. 62–73.

5)

5. Garone, E., Sinopoli, B., Goldsmith, A., et al: ‘LQG control for MIMO systems over multiple erasure channels with perfect acknowledgment’, IEEE Trans. Autom. Control, 2012, 57, (2), pp. 450–456.

6)

6. Peng, C., Song, Y., Xie, X.P., et al: ‘Eventtriggered output tracking control for wireless networked control systems with communication delays and data dropouts’, IET Control Theory Appl., 2016, 10, (17), pp. 2195–2203.

7)

7. Li, X.Y., Sun, S.L.: ‘Observerbased H∞ control for networked systems with bounded random delays and consecutive packet dropouts’, Int. J. Robust Nonlin. Control, 2014, 24, (17), pp. 2785–2802.

8)

8. Dong, H.L., Wang, Z.D., Ding, S.X., et al: ‘Finitehorizon reliable control with randomly occurring uncertainties and nonlinearities subject to output quantization’, Automatica, 2015, 52, (2), pp. 355–362.

9)

9. Qiu, J., Feng, G., Gao, H.: ‘Nonsynchronizedstate estimation of multichannel networked nonlinear systems with multiple packet dropouts via TS fuzzyaffine dynamic models’, IEEE Trans. Fuzzy Syst., 2011, 19, (1), pp. 75–90.

10)

10. Zhang, H., Shi, Y., Mehr, A.S.: ‘Robust weighted H∞ filtering for networked systems with intermittent measurements of multiple sensors’, Int. J. Adap. Control Sign. Proc., 2011, 24, (4), pp. 313–330.

11)

11. Zhu, C., Xia, Y., Xie, L., et al: ‘Optimal linear estimation for systems with transmission delays and packet dropouts’, IET Signal Process., 2013, 7, (9), pp. 814–823.

12)

12. Sun, S., Wang, G.: ‘Modeling and estimation for networked systems with multiple random transmission delays and packet losses’, Syst. Control Lett., 2014, 73, (11), pp. 6–16.

13)

13. Hua, C., Zheng, R.: ‘Robust topology engineering in multiradio multichannel wireless networks’, IEEE Trans. Mobile Comput., 2012, 11, (3), pp. 492–503.

14)

14. Ding, B.: ‘Development of stability research on TakagiSugeno fuzzy control systems and approximation of the necessary and sufficient conditions’, Fuzzy Inf. Eng., 2009, 1, (4), pp. 367–383.

15)

15. Zhang, S.J., Wang, Z.D., Ding, D., et al: ‘Fuzzy filtering with randomly occurring parameter uncertainties, interval delays, and channel fadings’, IEEE Trans. Cybern., 2014, 44, (3), pp. 406–417.

16)

16. Wang, Z.D., Liu, Y.R., Liu, X.H.: ‘H∞ filtering for uncertain stochastic timedelay systems with sectorbounded nonlinearities’, Automatica, 2008, 44, (5), pp. 1268–1277.

17)

17. Shen, B., Wang, Z.D., Shu, H.S., et al: ‘H∞ filtering for uncertain timevarying systems with multiple randomly occurred nonlinearities and successive packet dropouts’, Int. J. Robust Nonlin. Control, 2011, 21, (14), pp. 1693–1709.

18)

18. Li, X.Y., Sun, S.L.: ‘H∞ filtering for networkbased systems with delayed measurements, packet losses, and randomly varying nonlinearities’, IEEE Sens. J., 2016, 16, (2), pp. 4909–4918.

19)

19. Hu, J., Wang, Z.D., Gao, H.J., et al: ‘Robust sliding mode control for discrete stochastic systems with mixed time delays, randomly occurring uncertainties, and randomly occurring nonlinearities’, IEEE Trans. Ind. Electron., 2012, 59, (7), pp. 3008–3015.

20)

20. Dong, H.L., Wang, Z.D., Gao, H.J.: ‘Distributed filtering for a class of timevarying systems over sensor networks with quantization errors and successive packet dropouts’, IEEE Trans. Signal Process., 2012, 60, (6), pp. 3164–3173.

21)

21. Yang, R.N., Shi, P., Liu, G.P.: ‘Filtering for discrete time networked nonlinear systems with mixed random delays and packet dropouts’, IEEE Trans. Autom. Control, 2012, 56, (11), pp. 2655–2660.

22)

22. Liang, J.L., Wang, Z.D., Liu, X.H.: ‘H∞ control for 2D timedelay systems with randomly occurring nonlinearities under sensor saturation and missing measurements’, J. Franklin Inst., 2015, 352, (3), pp. 1007–1030.

23)

23. Wu, Z.G., Shi, P., Su, H.Y., et al: ‘Asynchronous l2–l∞ filtering for discretetime stochastic Markov jump systems with randomly occurred sensor nonlinearities’, Automatica, 2014, 50, (1), pp. 180–186.

24)

24. Ding, D.R., Wang, Z.D., Shen, B., et al: ‘H∞ state estimation for discretetime complex networks with randomly occurring sensor saturations and randomly varying sensor delays’, IEEE Trans. Neural Netw. Learn. Syst., 2012, 23, (5), pp. 725–736.

25)

25. Zhang, D., Song, H., Yu, L.: ‘Robust fuzzymodelbased filtering for nonlinear cyberphysical systems with multiple stochastic incomplete measurements’, IEEE Trans. Syst. Man Cybern. Syst., 2017, 47, (8), pp. 1826–1838.

26)

26. Ding, D.R., Wang, Z.D., Shen, B., et al: ‘H∞ state estimation with fading measurements, randomly varying nonlinearities and probabilistic distributed delays’, Int. J. Robust Nonlin. Control, 2015, 25, (13), pp. 2180–2195.

27)

27. Ding, D.R., Wang, Z.D., Alsaadi, F.E., et al: ‘Receding horizon filtering for a class of discrete timevarying nonlinear systems with multiple missing measurements’, Int. J. General Syst., 2015, 44, (2), pp. 198–211.

28)

28. Zhang, D., Shi, P., Wang, Q.G., et al: ‘Analysis and synthesis of networked control systems: a survey of recent advances and challenges’, ISA Trans.., 2017, 66, (1), pp. 376–392.

29)

29. Zhang, H., Shi, Y., Mehr, A.S.: ‘Robust H∞ PID control for multivariable networked control systems with disturbance/noise attenuation’, Int. J. Robust Nonlin. Control, 2012, 22, (2), pp. 183–204.

30)

30. Clalla, C., Leyva, R., El Aroudi, A., et al: ‘Robust LQR control for PMW converters: an LMI approach’, IEEE Trans. Ind. Electron., 2009, 59, (7), pp. 2548–2558.

31)

31. Liu, M., Zhang, S., Fan, Z., et al: ‘Exponential H∞ synchronization and state estimation for chaotic systems via a unified model’, IEEE Trans. Neural Netw. Learn. Syst., 2013, 24, (7), pp. 1114–1126.

32)

32. Ge, X., Han, Q.L.: ‘Distributed eventtriggered H∞ filtering over sensor networks with communication delays’, Inf. Sci., 2015, 291, (1), pp. 128–142.

33)

33. Hu, S., Yin, X., Zhang, Y., et al: ‘Eventtriggered guaranteed cost control for uncertain discretetime networked control systems with timevarying transmission delays’, IET Control Theory Appl., 2012, 6, (18), pp. 2793–2804.

34)

34. Ding, D.R., Wang, Z.D., Shen, B., et al: ‘Eventtriggered distributed H∞ state estimation with packet dropouts through sensor networks’, IET Control Theory Appl., 2015, 9, (13), pp. 1948–1955.

35)

35. Yong, X., Su, H.Y., Pan, Y.J., et al: ‘Robust H∞ filtering for networked stochastic systems with randomly occurring sensor nonlinearities and packet dropouts’, Signal Process., 2013, 93, (7), pp. 1794–1803.

36)

36. Liu, Y., Wang, Z.D., He, X., et al: ‘H∞ filtering for nonlinear systems with stochastic sensor saturations and Markov time delays: the asymptotic stability in probability’, IET Control Theory Appl., 2016, 10, (14), pp. 1706–1715.

37)

37. Zhang, H., Feng, G., Han, C.: ‘Linear estimation for random delay systems’, Syst. Control Lett., 2011, 60, (7), pp. 450–459.

38)

38. Qadir, J., Chou, C.T., Misra, A., et al: ‘Minimum latency broadcasting in multiradio, multichannel, multirate wireless meshes’, IEEE Trans. Mobile Comput., 2009, 8, (11), pp. 1510–1523.

39)

39. Wang, Y.L., Han, Q.L.: ‘Modelling and observerbased H∞ controller design for networked control systems’, IET Control Theory Appl., 2014, 8, (15), pp. 1478–1486.

40)

40. Yang, F.W., Wang, W., Niu, Y.G., et al: ‘Observerbased H∞ control for networked systems with consecutive packet delays and losses’, Int. J. Control Autom. Syst., 2010, 8, (4), pp. 769–775.

41)

41. Han, F., Feng, G., Wang, Y., et al: ‘A novel dropout compensation scheme for control of networked TS fuzzy dynamic systems’, Fuzzy Sets Syst.., 2014, 235, (1), pp. 44–61.

42)

42. Geromel, J.C., Oliveira, M.C.de, Bernussou, J.: ‘Robust filtering of discretetime linear systems with parameter dependent Lyapunov functions’, SIAM J. Control Opt., 2013, 41, (3), pp. 700–711.

43)

43. Hu, J., Wang, Z.D., Liang, J.L., et al: ‘Eventtriggered distributed state estimation with randomly occurring uncertainties and nonlinearities over sensor networks: a delayfractioning approach’, J. Franklin Inst., 2015, 352, (9), pp. 3750–3763.

44)

44. Zhang, D., Wang, Q.G., Srinivasan, D., et al: ‘Asynchronous state estimation for discretetime switched complex networks with communication constraints’, IEEE Trans. Neural Netw. Learn. Syst., 2017, PP, (99), pp. 1–15.

45)

45. Zhang, D., Shi, P., Zhang, W.A., et al: ‘Energyefficient distributed filtering in sensor networks: a unified switched system approach’, IEEE Trans. Cebern., 2016, 47, (7), pp. 1618–1629.

46)

46. Wang, W., Cai, F.H., Yang, F.W.: ‘An H2 approach for networked control systems with multiple packet dropouts’. Proc. 8th World Congress on Intelligent Control and Automation, 2010, vol. 7, pp. 1277–1282.
http://iet.metastore.ingenta.com/content/journals/10.1049/ietcta.2017.0199
Related content
content/journals/10.1049/ietcta.2017.0199
pub_keyword,iet_inspecKeyword,pub_concept
6
6