Robust stabilisation for a class of discrete-time systems with time-varying delays via delta operators

IET Control Theory and Applications

Volumn 2, Issue 1, 2008, Pages 87-93

  Qiu, J ^a   Xia, Y ^b   Yang, H ^a   Zhang, J ^b  

^a HEBEI UNIVERSITY OF SCIENCE AND TECHNOLOGY   (China)

^b BEIJING INSTITUTE OF TECHNOLOGY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

FEEDBACK CONTROL; LINEAR MATRIX INEQUALITIES; LYAPUNOV FUNCTIONS; MATHEMATICAL OPERATORS; ROBUSTNESS (CONTROL SYSTEMS); SYSTEM STABILITY; TIME DELAY;

DISCRETE-TIME SYSTEMS; FEEDBACK CONTROLLERS; TIME-VARYING DELAYS;

DISCRETE TIME CONTROL SYSTEMS;

EID: 38649083397     PISSN: 17518644     EISSN: 17518652     Source Type: Journal    
DOI: 10.1049/iet-cta:20070070     Document Type: Article

References (25)

1. Goodwin, G.C., and Middleton, R.H.: ' Rapprochement between continuous and discrete model reference adaptive control ', Automatica, 1986, 22, (6), p. 199-207 0005-1098
2. Xiang, Z., Chen, Q., and Zhang, R.: ' Robust stability analysis and control for fuzzy systems with uncertainties using the delta operator ', Control Decis., 2003, 18, (6), p. 720-723 1001-0920
3. Li, D., and Fei, S.: ' Robust stabilization for delta operator based systems ', Fuzzy Syst. Math., 2005, 19, (2), p. 140-145
4. Chen, S., Istepanian, R.H., and Wu, J.: et al. ' Comparative study on optimizing closed-loop stability bounds of finite-precision controller structures with shift and delta operators ', Syst. Control Lett., 2000, 40, (3), p. 153-163 10.1016/S0167-6911(00)00016-5 0167-6911
5. Ebert, W.: ' Optimal filtered predictive control a delta operator approach ', Syst. Control Lett., 2001, 42, (1), p. 69-80 10.1016/S0167-6911(00) 00058-X 0167-6911
6. Suchomski, P.: ' Numerically robust delta-domain solutions to discrete-time Lyapunov equations ', Syst. Control Lett., 2002, 47, (4), p. 319-326 10.1016/S0167-6911(02)00215-3 0167-6911
7. Fan, H.: ' Singular root distribution problem for delta-operator based real polynomials ', Automatica, 1999, 35, (5), p. 791-807 10.1016/S0005-1098(98) 00218-0 0005-1098
8. Soh, C.B.: ' Robust discrete time systems using delta operator ', Int. J. Control, 1991, 54, (2), p. 453-464 0020-7179
9. Soh, C.B.: ' Robust stability of discrete-time systems using delta operator ', IEEE Trans. Autom. Control, 1991, 35, (3), p. 377-380 0018-9286
10. ∞ control ', Int. J. Control, 1999, 72, (4), p. 315-320 0020-7179
11. Xia, Y., Shi, P., and Liu, G.P.: et al. ' Active disturbance rejection control for uncertain multivariable systems with time-delay ', IET Control Theory Appl., 2007, 1, (1), p. 75-81 10.1049/iet-cta:20050138
12. Xia, Y., and Jia, Y.: ' Robust sliding mode control for uncertain time-delay systems: an LMI approach ', IEEE Trans. Autom. Control, 2003, 48, (6), p. 1086-1092 10.1109/TAC.2003.812815 0018-9286
13. Xia, Y., and Jia, Y.: ' Robust control of state delayed systems with polytopic type uncertainties via parameter-dependent Lyapunov functionals ', Syst. Control Lett., 2003, 50, (3), p. 183-193 10.1016/S0167-6911(03)00153-1 0167-6911
14. Xia, Y., and Jia, Y.: ' Robust stability analysis for time-delay systems with polytopic uncertainties via parameter-dependent Lyapunov functionals ', Int. J. Control, 2002, 75, (16-17), p. 1427-1434 0020-7179
15. Boukas, E.K., and Al-Muthairi, N.F.: ' Delay-dependent stabilization of singular linear systems with delays ', Int. J. Innovative Comput. Inf. Control, 2006, 2, (2), p. 283-291
16. Boukas, E.K.: ' State feedback stabilization of nonlinear discrete-time systems with time-varying time delay ', Nonlinear Anal., 2007, 66, (6), p. 1341-1350 10.1016/j.na.2006.01.020
17. Sun, Y., Wang, L., and Xie, G.: ' Delay-dependent robust stability and stabilization for discrete-time switched systems with mode-dependent tim-varying delays ', Appl. Math. Comput., 2006, 180, (2), p. 428-435 10.1016/j.amc.2005. 12.028 0096-3003
18. ∞ control for uncertain discrete-time systems with time-varying delays via exponential output feedback controllers ', Syst. Control Lett., 2004, 51, (3-4), p. 171-183 0167-6911
19. Gao, H., and Chen, T.: ' New results on stability of discrete-time systems with time-varying state delay ', IEEE Trans. Autom. Control, 2007, 52, (2), p. 328-334 10.1109/TAC.2006.890320 0018-9286
20. ∞ filtering for uncertain discrete-time state-delayed systems ', IEEE Trans. Signal Process., 2004, 52, (6), p. 1631-1640 10.1109/TSP.2004. 827188 1053-587X
21. Jiang, X., Han, Q., and Yu, X.: ' Stability criteria for linear discrete-time systems with interval-like time-varying delay ', American Control Conf., Portland, OR, USA, June, 2005, p. 2817-2822
22. ∞ control of systems with parameter uncertainty ', Int. J. Control, 1996, 63, (4), p. 741-750 10.1080/00207179608921866 0020-7179
23. Gao, H., Lam, J., and Wang, C.: ' Delay-dependent output feedback stabilization of discrete-time systems with time-varying state delay ', IEE Proc., Control Theory Appl., 2004, 151, (6), p. 691-698 10.1049/ip-cta:20040822 1350-2379
24. Tanaka, K., and Sano, M.: ' A robust stabilization problem of fuzzy control systems and its application to backing up control of a truck-trailer ', IEEE Trans. Fuzzy Syst., 1994, 2, (1), p. 119-134 10.1109/91.277961 1063-6706
25. Cao, Y., and Frank, P.: ' Stability analysis and synthesis of nonlinear time-delay systems via linear Takagi-Sugeno fuzzy models ', Fuzzy Sets Syst., 2001, 124, (2), p. 213-229 10.1016/S0165-0114(00)00120-2 0165-0114