access icon free Communication channel sharing-based network-induced delay and packet dropout compensation for networked control systems

This study is concerned with the problem of dual communication channels sharing-based network-induced delay and packet dropout compensation for continuous-time networked control systems (NCSs). By introducing the dual communication channels sharing-based compensation method, a new closed-loop model for continuous-time NCSs, which can receive more than one control input during a control input updating time interval, is established. Based on the newly established model and a new Lyapunov functional, an effective controller design criterion is derived to optimise the H performance of the considered systems. Even for NCSs without considering network-induced delay and packet dropout compensation, the newly derived controller design method is also applicable. Two numerical examples are given to illustrate the merits and effectiveness of the proposed compensation method.

Inspec keywords: H∞ optimisation; networked control systems; closed loop systems; delays; continuous time systems; H∞ optimisation; control system synthesis; Lyapunov methods; compensation

Other keywords: packet dropout compensation; closed loop model; continuous-time NCS; dual communication channels sharing-based network-induced delay; continuous-time networked control systems; Lyapunov functional model; controller design method; H∞ performance optimisation; H∞ performance optimisation; controller design criterion

Subjects: Control system analysis and synthesis methods; Optimisation techniques; Stability in control theory; Distributed parameter control systems; Optimal control

References

    1. 1)
      • 25. Kim, S.H., Park, P., Jeong, C.: ‘A generalized direct-form delta operator-based IIR filter with minimum noise gain and sensitivity’, IET Control Theory Applic., 2010, 4, (9), pp. 18281837 (doi: 10.1049/iet-cta.2009.0346).
    2. 2)
      • 21. Wang, Y.-L., Yang, G.-H.: ‘Output tracking control for networked control systems with time delays and packet dropout’, Int. J. Control, 2008, 81, (11), pp. 17091719 (doi: 10.1080/00207170701836944).
    3. 3)
      • 20. Gao, H., Chen, T.: ‘Network-based H output tracking control’, IEEE Trans. Autom. Control, 2008, 53, (3), pp. 655667 (doi: 10.1109/TAC.2008.919850).
    4. 4)
      • 16. Addad, B., Amari, S., Lesage, J.-J.: ‘A virtual-queuing-based algorithm for delay evaluation in networked control systems’, IEEE Trans. Ind. Electron., 2011, 58, (9), pp. 44714479 (doi: 10.1109/TIE.2010.2098358).
    5. 5)
      • 4. Wu, M., He, Y., She, J.-H., Liu, G.-P.: ‘Delay-dependent criteria for robust stability of time-varying delay systems’, Automatica, 2004, 40, (8), pp. 14351439 (doi: 10.1016/j.automatica.2004.03.004).
    6. 6)
      • 7. Shao, H.: ‘New delay-dependent stability criteria for systems with interval delay’, Automatica, 2009, 45, (3), pp. 744449 (doi: 10.1016/j.automatica.2008.09.010).
    7. 7)
      • 13. Sun, Y., Qin, S.: ‘Stability of networked control systems with packet dropout: an average dwell time approach’, IET Control Theory Applic., 2011, 5, (1), pp. 4753 (doi: 10.1049/iet-cta.2009.0331).
    8. 8)
      • 1. Jiang, X., Han, Q.-L.: ‘New stability criteria for linear systems with interval time-varying delay’, Automatica, 2008, 44, (10), pp. 26802685 (doi: 10.1016/j.automatica.2008.02.020).
    9. 9)
      • 27. Tian, Y.-C., Levy, D.: ‘Compensation for control packet dropout in networked control systems’, Inf. Sci., 2008, 178, (5), pp. 12631278 (doi: 10.1016/j.ins.2007.10.012).
    10. 10)
      • 5. Zhu, X.-L., Yang, G.-H.: ‘Jensen integral inequality approach to stability analysis of continuous-time systems with time-varying delay’, IET Control Theory Applic., 2008, 2, (6), pp. 524534 (doi: 10.1049/iet-cta:20070298).
    11. 11)
      • 17. Onat, A., Naskali, T., Parlakay, E., Mutluer, O.: ‘Control over imperfect networks: model-based predictive networked control systems’, IEEE Trans. Ind. Electron., 2011, 58, (3), pp. 905913 (doi: 10.1109/TIE.2010.2051932).
    12. 12)
      • 28. Yoo, H.-J., Ryu, H.-S., Yoo, K.-S., Kwon, O.-K.: ‘Compensation of networked control systems using LMI-based delay-dependent optimization method’. Proc. 41st SICE Annual Conf., 2002, pp. 364369.
    13. 13)
      • 11. Hu, S., Zhang, Y., Du, Z.: ‘Network-based H tracking control with event-triggering sampling scheme’, IET Control Theory Applic., 2012, 6, (4), pp. 533544 (doi: 10.1049/iet-cta.2011.0055).
    14. 14)
      • 12. Xiong, J., Lam, J.: ‘Stabilization of linear systems over networks with bounded packet loss’, Automatica, 2007, 43, (1), pp. 8087 (doi: 10.1016/j.automatica.2006.07.017).
    15. 15)
      • 30. Garuntu, C.-F., Lazar, C.: ‘Robustly stabilising model predictive control design for networked control systems with an application to direct current motors’, IET Control Theory Applic., 2012, 6, (7), pp. 943952 (doi: 10.1049/iet-cta.2011.0103).
    16. 16)
      • 19. Yu, M., Wang, L., Chu, T., Hao, F.: ‘Stabilization of networked control systems with data packet dropout and transmission delays: continuous-time case’, Eur. J. Control, 2005, 11, pp. 4049 (doi: 10.3166/ejc.11.40-49).
    17. 17)
      • 24. Jiang, X., Han, Q.-L., Liu, S., Xue, A.: ‘A new H stabilization criterion for networked control systems’, IEEE Trans. Autom. Control, 2008, 53, (4), pp. 10251032 (doi: 10.1109/TAC.2008.919547).
    18. 18)
      • 2. Gao, H., Chen, T., Lam, J.: ‘A new delay system approach to network-based control’, Automatica, 2008, 44, (1), pp. 3952 (doi: 10.1016/j.automatica.2007.04.020).
    19. 19)
      • 8. Sun, J., Liu, G.P., Chen, J., Rees, D.: ‘Improved delay-range-dependent stability criteria for linear systems with time-varying delays’, Automatica, 2010, 46, (2), pp. 466470 (doi: 10.1016/j.automatica.2009.11.002).
    20. 20)
      • 18. Quevedo, D.E., Nešić, D.: ‘Input-to-state stability of packetized predictive control over unreliable networks affected by packet-dropouts’, IEEE Trans. Autom. Control, 2011, 56, (2), pp. 370375 (doi: 10.1109/TAC.2010.2095950).
    21. 21)
      • 31. Wu, J, Chen, T.: ‘Design of networked control systems with packet dropouts’, IEEE Trans. Autom. Control, 2007, 52, (7), pp. 13141319 (doi: 10.1109/TAC.2007.900839).
    22. 22)
      • 33. Gu, K., Kharitonov, V.L., Chen, J.: ‘Stability of time-delay systems’ (Birkhäuser, Boston, 2003).
    23. 23)
      • 15. Guo, Y.F., Li, S.Y.: ‘Transmission probability condition for stabilisability of networked control systems’, IET Control Theory Applic., 2010, 4, (4), pp. 672682 (doi: 10.1049/iet-cta.2008.0407).
    24. 24)
      • 29. Wang, Y.-L., Yang, G.-H.: ‘Multiple communication channels-based packet dropout compensation for networked control systems’, IET Control Theory Applic., 2008, 2, (8), pp. 717727 (doi: 10.1049/iet-cta:20070352).
    25. 25)
      • 32. Tipsuwan, Y., Chow, M.-Y.: ‘Gain scheduler middleware: a methodology to enable existing controllers for networked control and teleoperation – part I: networked control’, IEEE Trans. Ind. Electron., 2004, 51, (6), pp. 12181227 (doi: 10.1109/TIE.2004.837866).
    26. 26)
      • 6. Zhang, W.-A., Yu, L.: ‘Modelling and control of networked control systems with both network-induced delay and packet-dropout’, Automatica, 2008, 44, (12), pp. 32063210 (doi: 10.1016/j.automatica.2008.09.001).
    27. 27)
      • 22. Peng, C., Tian, Y.-C., Yue, D.: ‘Output feedback control of discrete time systems in networked environments’, IEEE Trans. Syst. Man Cybern.- A, Syst. Humans, 2011, 41, (1), pp. 185190 (doi: 10.1109/TSMCA.2010.2055155).
    28. 28)
      • 14. Wu, D., Wu, J., Chen, S.: ‘Separation principle for networked control systems with multiple-packet transmission’, IET Control Theory Applic., 2011, 5, (3), pp. 507513 (doi: 10.1049/iet-cta.2009.0436).
    29. 29)
      • 9. Zhang, B., Xu, S., Zou, Y.: ‘Improved stability criterion and its applications in delayed controller design for discrete-time systems’, Automatica, 2008, 44, (11), pp. 29632967 (doi: 10.1016/j.automatica.2008.04.017).
    30. 30)
      • 26. Tian, E., Yue, D., Peng, C.: ‘Reliable control for networked control systems with probabilistic sensors and actuators faults’, IET Control Theory Applic., 2010, 4, (8), pp. 14781488 (doi: 10.1049/iet-cta.2009.0441).
    31. 31)
      • 34. Zhang, W., Branicky, M.S., Phillips, S.M.: ‘Stability of networked control systems’, IEEE Control Syst. Mag., 2001, 21, (1), pp. 8499 (doi: 10.1109/37.898794).
    32. 32)
      • 10. Chen, K.F., Fong, I.K.: ‘Stability analysis and output-feedback stabilisation of discrete-time systems with an interval time-varying state delay’, IET Control Theory Applic., 2010, 4, (4), pp. 563572 (doi: 10.1049/iet-cta.2009.0100).
    33. 33)
      • 3. Yue, D., Tian, E., Wang, Z., Lam, J.: ‘Stabilization of systems with probabilistic interval input delays and its applications to networked control systems’, IEEE Trans. Syst. Man Cybern. A, Syst. Humans, 2009, 39, (4), pp. 939945 (doi: 10.1109/TSMCA.2009.2019875).
    34. 34)
      • 23. Yue, D., Han, Q.-L., Lam, J.: ‘Network-based robust H control of systems with uncertainty’, Automatica, 2005, 41, (6), pp. 9991007 (doi: 10.1016/j.automatica.2004.12.011).
http://iet.metastore.ingenta.com/content/journals/10.1049/iet-cta.2012.0034
Loading

Related content

content/journals/10.1049/iet-cta.2012.0034
pub_keyword,iet_inspecKeyword,pub_concept
6
6
Loading