Improved stabilisation method for networked control systems

IET Control Theory and Applications

Volumn 1, Issue 6, 2007, Pages 1580-1585

  He, Y ^a,b   Liu, G P ^b,c   Rees, D ^b   Wu, M ^a  

^a CENTRAL SOUTH UNIVERSITY   (China)

^b UNIVERSITY OF GLAMORGAN   (United Kingdom)

^c INSTITUTE OF AUTOMATION   (China)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; CLOSED LOOP SYSTEMS; FEEDBACK CONTROL; LYAPUNOV FUNCTIONS; PROBLEM SOLVING; SYSTEMS ANALYSIS;

CONE COMPLEMENTARY LINEARISATION (CCL); LYAPUNOV-KRASOVSKII FUNCTION; NETWORKED CONTROL SYSTEMS; UPPER BOUND;

CONTROL SYSTEMS;

EID: 36248998835     PISSN: 17518644     EISSN: 17518652     Source Type: Journal    
DOI: 10.1049/iet-cta:20070015     Document Type: Article

References (36)

1. Chow, M.Y., and Tipsuwan, Y.: ' Gain adaptation of networked DC motor controllers on QoS variations ', IEEE Trans. Ind. Electron., 2003, 50, p. 936-943 10.1109/TIE.2003.817576 0278-0046
2. Lee, K.C., Lee, K., and Lee, M.H.: ' QoS-based remote control of networked control systems via profibus token passing protocol ', IEEE Trans. Ind. Inf., 2005, 1, p. 183-191 10.1109/TII.2005.852064
3. Lee, K.C., Lee, K., and Lee, M.H.: ' Worst case communication delay of real-time industrial switched ethernet with multiple levels ', IEEE Trans. Ind. Electron., 2006, 53, p. 1669-1676 0278-0046
4. Tipsuwan, Y., and Chow, M.Y.: ' Gain scheduler middleware: a methodology to enable existing controllers for networked control and teleoperation - part I: networked control ', IEEE Trans. Ind. Electon., 2004, 51, p. 1228-1237
5. Walsh, G., Beldiman, O., and Bushnell, L.: ' Asymptotic behavior of nonlinear networked control systems ', IEEE Trans. Autom. Control, 2001, 46, p. 1093-1097 10.1109/9.935062 0018-9286
6. Walsh, G., Ye, H., and Bushnell, L.: ' Stability analysis of networked control systems ', IEEE Control. Syst. Tech., 2002, 10, p. 438-446
7. ∞ control for networked systems with random communication delays ', IEEE Trans. Autom. Control, 2006, 51, p. 511-518 10.1109/TAC.2005.864207 0018-9286
8. Yang, T.C.: ' Networked control systems: a brief survey ', IEE Proc., Control Theory Appl., 2006, 153, p. 403-412 10.1049/ip-cta:20050178 1350-2379
9. Zhang, W., Branicky, M.S., and Phillips, S.M.: ' Stability of networked control systems ', IEEE Control Syst. Mag., 2001, 21, p. 84-99 10.1109/37.898794 0272-1708
10. Kim, D., Lee, Y., Kwon, W., and Park, H.: ' Maximum allowable delay bounds of networked control systems ', Control Eng. Pract., 2003, 11, p. 1301-1313 10.1016/S0967-0661(02)00238-1 0967-0661
11. Boukas, E.K., and Al-Muthairi, N.F.: ' Delay-dependent stabilization of singular linear systems with delays ', Int. J. Innov. Comput., Inf. Control, 2006, 2, p. 283-291
12. Gao, H., Lam, J., Wang, C., and Wang, Y.: ' Delay-dependent output-feedback stabilisation of discrete-time systems with time-varying state delay ', IEE Proc., Control Theory Appl., 2004, 151, p. 691-698 10.1049/ip-cta:20040822 1350-2379
13. Gu, K., Kharitonov, V.L., and Chen, J.: ' Stability of time-delay systems ', (Birkhuser, Boston, 2003)
14. ∞ control for linear systems with interval time-varying delay ', Automatica, 2005, 41, p. 2099-2106 10.1016/j.automatica.2005.06.012 0005-1098
15. Lin, C., Wang, Q.G., and Lee, T.H.: ' A less conservative robust stability test for linear uncertain time-delay systems ', IEEE Trans. Autom. Control, 2006, 51, p. 87-91 10.1109/TAC.2005.861720 0018-9286
16. Zhang, X.M., Wu, M., She, J.H., and He, Y.: ' Delay-dependent stabilization of linear systems with time-varying state and input delays ', Automatica, 2005, 41, p. 1405-1412 0005-1098
17. ∞ control: constant and time-varying delays ', Int. J. Control, 2003, 76, p. 48-60 10.1080/0020717021000049151 0020-7179
18. Park, P.: ' A delay-dependent stability criterion for systems with uncertain time-invariant delays ', IEEE Trans. Autom. Control, 1999, 44, p. 876-877 10.1109/9.754838 0018-9286
19. Moon, Y.S., Park, P., Kwon, W.H., and Lee, Y.S.: ' Delay-dependent robust stabilization of uncertain state-delayed systems ', Int. J. Control, 2001, 74, p. 1447-1455 10.1080/00207170110067116 0020-7179
20. ∞ control of linear time-delay systems" ', IEEE Trans. Autom. Control, 2003, 48, p. 520-525 10.1109/TAC.2003.809154 0018-9286
21. Han, Q.L.: ' On robust stability of neutral systems with time-varying discrete delay and norm-bounded uncertainty ', Automatica, 2004, 40, p. 1087-1092 10.1016/j.automatica.2004.01.007 0005-1098
22. He, Y., Wu, M., She, J.H., and Liu, G.P.: ' Delay-dependent robust stability criteria for uncertain neutral systems with mixed delays ', Syst. Control Lett., 2004, 51, p. 57-65 10.1016/S0167-6911(03)00207-X 0167-6911
23. He, Y., Wu, M., She, J.H., and Liu, G.P.: ' Parameter-dependent Lyapunov functional for stability of time-delay systems with polytopic-type uncertainties ', IEEE Trans. Autom. Control, 2004, 49, p. 828-832 10.1109/TAC.2004.828317 0018-9286
24. Wu, M., He, Y., She, J.H., and Liu, G.P.: ' Delay-dependent criteria for robust stability of time-varying delay systems ', Automatica, 2004, 40, p. 1435-1439 10.1016/j.automatica.2004.03.004 0005-1098
25. Park, H., Kim, Y., Kim, D., and Kwon, W.: ' A scheduling method for network based control systems ', IEEE Control Syst. Tech., 2002, 10, p. 318-330
26. Pan, Y.J., Marquez, H.J., and Chen, T.: ' Stabilization of remote control systems with unknown time varying delays by LMI techniques ', Int. J. Control, 2006, 79, p. 752-763 10.1080/00207170600654554 0020-7179
27. Yue, D., Han, Q.L., and Peng, C.: ' State feedback controller design of networked control systems ', IEEE Trans. Circuits Syst. II, 2004, 51, p. 640-644 10.1109/TCSII.2004.836043 1057-7130
28. Wu, M., He, Y., and She, J.H.: ' New delay-dependent stability criteria and stabilizing method for neutral systems ', IEEE Trans. Autom. Control, 2004, 49, p. 2266-2271 10.1109/TAC.2004.838484 0018-9286
29. ∞ control of systems with uncertainty ', Automatica, 2005, 41, p. 999-1007 10.1016/j.automatica.2004.12.011 0005-1098
30. He, Y., Wang, Q.G., Lin, C., and Wu, M.: ' Delay-range-dependent stability for systems with time-varying delay ', Automatica, 2007, 43, p. 371-376 0005-1098
31. He, Y., Wang, Q.G., Xie, L.H., and Lin, C.: ' Further improvement of free-weighting matrices technique for systems with time-varying delay ', IEEE Trans. Autom. Control, 2007, 52, p. 293-299 10.1109/TAC.2006.887907 0018-9286
32. ∞ control for systems with tiem-varying delays ', Automatica, 2006, 42, p. 343-348 10.1016/j.automatica.2005.09.013 0005-1098
33. Ghaoui, L.E., Oustry, F., and AitRami, M.: ' A cone complementarity linearization algorithm for static output-feedback and related problems ', IEEE Trans. Autom. Control, 1997, 42, p. 1171-1176 10.1109/9.618250 0018-9286
34. Hale, J.K., and Verduyn Lunel, S.M.: ' Introduction to functional differential equations (Applied Mathematical Sciences, Vol. 99) ', (Springer-Verlag, New York, 1993)
35. He, Y., Wang, Q.G., Lin, C., and Wu, M.: ' Augmented Lyapunov functional and delay-dependent stability criteria for neutral systems ', Int. J. Robust Nonlin. Control, 2005, 15, p. 923-933
36. Xu, S., Lam, J., and Zou, Y.: ' Simplified descriptor system approach to delay-dependent stability and performance analyses for time-delay systems ', IEE Proc., Control Theory Appl., 2005, 152, p. 147-151 10.1049/ip-cta:20045023 1350-2379