Stabilization of a class of uncertain time-delay systems containing saturating actuators

International Journal of Systems Science

Volumn 30, Issue 11, 1999, Pages 1193-1203

  Su, Hongye ^a   Chu, Jian ^a  

^a ZHEJIANG UNIVERSITY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

ACTUATORS; DELAY CONTROL SYSTEMS; DIFFERENTIAL EQUATIONS; PARAMETER ESTIMATION; ROBUSTNESS (CONTROL SYSTEMS); SYSTEM STABILITY; UNCERTAIN SYSTEMS;

LINEAR MATRIX INEQUALITIES (LMI); UNCERTAIN TIME-DELAY SYSTEMS;

TIME VARYING CONTROL SYSTEMS;

EID: 0033365765     PISSN: 00207721     EISSN: 14645319     Source Type: Journal    
DOI: 10.1080/002077299291660     Document Type: Article

References (58)

1. Barmish, B. R., Cohless, M., and Lehmann, G., 1983, A new class of stabilizing controllers of an uncertain linear system. SIAM J. Contr., 21, 246-252.
2. Boyd, S., Ghaoui, L. Tl, Feron, E., and Balakrishnan, V., 1994, Linear Matrix Inequalities in Systems and Control Theory (Philadelphia: SIAM).
3. Brierly, S. D., Chiasson, J. N., Lee, E. B., and Zak, S. H., 1982, On stability independent of delay for linear systems. IEEE Trans. Auto. Control, 27, 252-254.
4. Chen, B. S., and Wang, S. S., 1988, The stability of feedback control with nonlinear saturating actuator: time domain approach. IEEE Trans. Auto. Control, 33, 483-487.
5. Chen, B. S., Wang, S. S., and Lu, H.-C., 1988, Stabilization of time-delay systems containing saturating actuators. Int. J. Control, 47, 867-881.
6. Chen, B. S., and Lu, H.-C., 1988, State estimation of large-scale systems. Int. J. Control, 47, 1613.
7. Cheres, E., Palmor, Z. J., and Gutman, S., 1989, Quantitative measures of robustness for systems including delayed perturbations. IEEE Trans. Auto. Control, 34, 1203-1204.
8. Choi, H. H., 1994, Riccati equation approach to the memoryless stabilization of uncertain dynamic systems with delayed control. Electron. Lett., 30, 1100-1101.
9. Choi, H. H., and Chung, M. J., 1995, Memoryless stabilization of uncertain dynamic systems with time-varying delayed states and controls. Automatica, 31, 1349-1351.
10. Chou, J. H., Horng, I.-R., and Chen, B. S., 1989, Dynamic feedback compensator for uncertain time-delay systems containing saturating actuator. Int. J. Control, 49, 961-968.
11. Glattfelder, A. H., and Sohaueelbergeh, W., 1983, Stability analysis of single loop control systems with saturation and antire-set-windup circuits. IEEE Trans. Auto. Control, 28, 1074-1080.
12. Gu, K., 1997a, Discretization of Lyapunov functional for uncertain time-delay systems. Proc. ACC97, Albuquerque, NM, USA, Vol. 1, pp. 505-509.
13. Gu, K., 1997b, Constrained of linear uncertain time-delay systems. Proc. ACC’97, Albuquerque, NM, USA, Vol. 6, pp. 3657-3661.
14. Hale, J., 1971, Theory of Functional Differential Equations (New Y ork: Springer).
15. Hasanul, B., Mukundan, A. M R., and Connor, D. A. O., 1986, Memoryless feedback control in uncertain dynamic delay system. Int. J. Syst. Science, 17, 409-415.
16. Ikeda, M., and Ashida, T, 1979, Stabilization of linear systems with time-varying. IEEE Trans. Auto. Control, 24, 369-370.
17. Kim, J.-H., 1996, Robust stability of linear systems with delayed perturbations. IEEE Trans. Auto. Control, 41, 1820-1822.
18. Klai, M., Tarbouriech, S., and Burgat, C., 1994, Some independent time-delay stabilization of linear systems with saturating controls. Proc. of IEE Contr.’94, Coventry, U.K., pp. 1358-1363.
19. Kosut, R. L., 1983, Design of linear systems with saturating linear control bounded state. IEEE Trans. Auto. Control, 28, 121-124.
20. Krikelis, N. J., 1980, State feedback integral control with intelligent integrator. Int. J. Control, 32, 465-473.
21. Krikelis, N. J., and Barkas, S. K., 1984, Design of tracking systems subject to actuator saturation and integrator wind-up. Int. J. Control, 39, 667.
22. Leitmann, G., 1979, Guaranteed asymptotic stability for some linear systems with bounded uncertainties. ASME J. Dynamical Systems, Measurement and Control, 101, 212-216.
23. Lewis, R. M., and Anderson, B. D. O., 1980, Necessary and sufficient conditions for delay-independent stability of linear autonomous systems. IEEE Trans. Auto. Control, 25, 735-739.
24. Li, X., and de Souza, C. E., 1996a, Robust stabilization and H control of uncertain linear time-delay systems. Proc. of 13th Triennial World Congress of IFAC, San Francisco, U.S.A., 30 June-5 July, pp. 113-118.
25. Li, X., and de Souza, C. E., 1996b, Criteria for robust stability of uncertain linear systems with time-varying state delays. Proc. of 13th World Congress of IFAC, San Francisco, U.S.A., 30 June-5 July, pp. 137-142.
26. Liu, W., Chitour, Y., and Sontag, E., 1996, On finite-gain stabiliz-ability of linear systems subject to input saturation. SIAM J. Contr. and Optimization, 34, 1190-1219.
27. Mahmoud, M S., and Al-Muthairi, N. F., 1994, Quadratic stabilization of continuous time systems with state-delay and norm-bounded time-varying uncertainties. IEEE Trans. Auto. Control, 39, 2135-2139.
28. Male-Zavarei, M., and Al-Muthairi, N. F., 1987, Time-delay Systems: Analysis, Optimization and Applications (Amsterdam: North-Holland).
29. Mori, T, Fukuma, N., and Kuwahara, M., 1981, Simple stability criteria for single and composite linear systems with time delays. Int. J. Control, 34, 1175-1184.
30. Mori, T, 1985, Criteria for asymptotic stability of linear time-delay systems. IEEE Trans. Auto. Control, 30, 158-161.
31. Mori, T, and Kokame, H., 1989, Stability of x(t) = Ax(t) + Bx(t -t). IEEE Trans. Auto. Control, 34, 460-462.
32. Nesterov, Y., and Nemirovskii, A., 1994, Interior-point Polynomial Algorithms in Convex Programming (Philadelphia: SIAM).
33. Niculescu, S.-I., de Souza, C. E., Dion, J.-M., and Dugard, L, 1994, Robust stability and stabilization of uncertain linear systems with state delay: single delay case (I). Proc. of IFAC Symp. on Robust Control Design, Rio de Janeiro, Brazil, September.
34. Niculescu, S.-I., Dion, J.-M., and Dugard, L., 1996, Robust stabilization for uncertain time-delay systems containing saturating actuators. IEEE Trans. Auto. Control, 41, 742-747.
35. Phoojaruenchanachai, S., and Furuta, K., 1992, Memoryless stabilization of uncertain linear systems including time-varying state delays. IEEE Trans. Auto. Control, 37, 1022-1025.
36. Schmitendorf, W. E., 1988, Designing stabilizing controllers for uncertain systems using Riccati equation approach. IEEE Trans. Auto. Control, 33, 376-379.
37. Shen, J.-C., and Kung, F.-C., 1989, Stabilization of input-delay systems with saturating actuators. Int. J. Control, 50, 1667-1680.
38. Shen, J.-C., Chen, B., and Kung, F.-C., 1991, Memoryless stabilization of uncertain dynamic delay systems: Riccati equation approach. IEEE Trans. Auto. Control, 37, 1022-1025.
39. 1 controller design for a class of time-varying uncertain linear time-delay systems. Proc. ACC’97, Albuquerque, NM, U.S.A., Vol. 6, pp. 3662-3663.
40. Su, H., Chu, J., Wang, J., and Wang, S., 1997b, Robust stabilizing control for linear time-varying uncertain time-delay systems with dynamic output feedback controller. Proc. ADCHEM’97, Banff, Canada, pp. 149-154.
41. Su, H., Wang, J., and Chu, J., 1998a, Memoryless robust stabilization of a class of uncertain linear time-delay systems. ACTA Automatic Sinica, 24, 511-515.
42. Su, H., Chu, J., and Wang, J., 1998b, A memoryless robust stabilizing controller for a class of uncertain linear time-delay systems. International Journal of Systems Science, 29, 191-197.
43. Su, H., and Chu, J., 1998, Robust stabilizing control for uncertain time-delay systems contain saturating actuators. Proc. IFAC LTDS’98, Grenoble, France, pp. 7-12.
44. Su, T-H., 1994, Further results on the robust stability of linear systems with a single time delay. Syst. and Contr. Letter, 23, 375-379.
45. Su, T-H., and Huang, C.-G., 1992, Robust stability of delay dependence for linear uncertain systems. IEEE Trans. Auto. Control, 37, 1656-1659.
46. Su, T.-J., Kou, T.-S., and Sun, Y.-Y., 1988, Robust stability for linear time-delay systems with linear parameter perturbation. Int. J. Syst. Science, 19, 2123-2129.
47. Su, T-J., Leu, P. L, and TsAy, J. T, 1991, Stabilization of delay-dependent for saturating actuator systems. Proc. of 30th Conference Decision Control, Brighton, U.K., pp. 2891-2892
48. Sun, Y.-J., Hsieh, J.-G., and Yang, H.-C., 1997, On the stability of uncertain systems with multiple time-varying delays. IEEE Trans. Auto. Control, 42, 101-105.
49. Thowsen, A., 1982, Delay independent asymptotic stability of linear systems. IEE Proc. Pt.D, 129, 73-75.
50. Tissir, E., and Hmamed, A., 1992, Further results on the stabilization of time delay systems containing saturating actuators. Int. J. Syst. Science, 23, 615-622.
51. Tissir, E., and Hmamed, A., 1996, Further results on stability of x(t) = Ax(t) + Bx(t -t). Automatica, 32, 1723-1726.
52. Trinh, H., and Aldeen, M., 1994, On the stability of linear systems with delayed perturbations. IEEE Trans. Auto. Control, 39, 1948-1951.
53. Wang, S. S., Chen, B. S., and Lin, T P., 1987, Robust stability of uncertain time-delay systems. Int. J. Control, 46, 963-976.
54. Wang, W. J., and Chen B. S., 1988, Stability of large-scale systems with saturating actuators. Int. J. Control, 47, 827.
55. Wang, Y., Xie, L., and de Souza, C. E., 1992, Robust control of a class of uncertain nonlinear systems. Syst. and Contr. Letter, 19, 139-149.
56. Wu, H., and Mizukami, K., 1995, Robust stability criteria for dynamical systems including delayed perturbations. IEEE Trans. Auto. Control, 40, 487-492.
57. Xu, B., and Leu, Y., 1994, An improved razumikhin-type theorem and its applications. IEEE Trans. Auto. Control, 39, 839-841.
58. 1 controller design for linear time-delay systems with norm-bounded time-varying uncertainty. Automatica, 32, 1759-1762.