Delay-dependent robust H∞ controller design for uncertain descriptor systems with time-varying discrete and distributed delays

IEE Proceedings: Control Theory and Applications

Volumn 152, Issue 6, 2005, Pages 628-638

  Yue, D ^a   Han, Q L ^b  

^a NANJING NORMAL UNIVERSITY   (China)

^b CENTRAL QUEENSLAND UNIVERSITY   (Australia)

Author keywords

[No Author keywords available]

Indexed keywords

DISTRIBUTED DELAYS; NONCONVEX MATRIX INEQUALITIES; UNCERTAIN DESCRIPTOR SYSTEMS;

CLOSED LOOP CONTROL SYSTEMS; CONSTRAINT THEORY; MATRIX ALGEBRA; NUMERICAL ANALYSIS; TIME VARYING CONTROL SYSTEMS; UNCERTAIN SYSTEMS;

CONTROL EQUIPMENT;

EID: 33749575331     PISSN: 13502379     EISSN: None     Source Type: Journal    
DOI: 10.1049/ip-cta:20045293     Document Type: Article

References (25)

1. Mahmoud, M.S.: ' Robust control and filtering for time-delay systems ', (Marcel Dekker Inc., New York, 2000)
2. Niculoscu, S.-I.: ' Delay effects on stability - a robust control approach ', (Springer-Verlag, London, 2001)
3. ∞ control for uncertain systems with time varying delays ', IEE Proc., Control Theory Appl., 1998, 143, (3), p. 338-344 1350-2379
4. Gu, K., Kharitonov, V.L., and Chen, J.: ' Stability of time-delay systems ', (Brikhauser, Boston, 2003)
5. Moon, Y.S., Park, P., and Kwon, W.H.: ' Delay-dependent robust stabilization of uncertain state-delayed systems ', Int. J. Control, 2001, 74, (14), p. 1447-1455 10.1080/00207170110067116 0020-7179
6. ∞ control for uncertain time-delay systems with actuator failures ', J. Franklin Inst., 2000, 337, p. 781-791 10.1016/S0016-0032(00) 00049-1 0016-0032
7. ∞ control of linear time-delay systems ', IEEE Trans. Autom. Control, 2002, 47, (2), p. 253-270 10.1109/9.983353 0018-9286
8. 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
9. ∞ control: Constant and time-varying delays ', Int. J. Control, 2003, 76, p. 48-60 10.1080/0020717021000049151 0020-7179
10. ∞ control of linear state delay descriptor systems: an LMI approach ', Linear Algebr. Appl., 2002, 351-352, p. 271-302 10.1016/S0024-3795(01)00563-8 0024-3795
11. Dai, L.: ' Singular control systems ', in Lecture notes in control and information sciences, (Springer-Verlag, New York, 1989)
12. Li, Y., and Liu, Y.: ' Basic theory of singular systems of linear differential difference equations ', Proc. IFAC 13th World Congress, 1996, L, p. 79-84
13. Li, Y., and Liu, Y.: ' Stability of solution of generalized functional equations ', Acta Appl. Math., 1999, 22, p. 130-138, (in Chinese)
14. Xu, S., Van Dooren, P., Stefan, R., and Lam, J.: ' Robust stability and stabilization for singular systems with state delay and parameter uncertainty ', IEEE Trans. Autom. Control, 2002, 47, (7), p. 1122-1128 10.1109/TAC.2002.800651 0018-9286
15. ∞ control for discrete singular systems with state delay and parameter uncertainty ', Dyn. Contin., Discrete Impulsive Syst., 2002, 9, p. 539-554
16. ∞ state feedback control for discrete singular systems ', IEEE Trans. Autom. Control, 2000, 45, p. 1405-1409 10.1109/9.867074 0018-9286
17. Boyd, S., El Ghaoui, L., Feron, E., and Balakrishnan, V.: ' Linear matrix inequalities in system and control theory ', (SIAM, Philadelphia, 1994)
18. El Ghaoui, L., 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
19. ∞ filter design of uncertain descriptor systems with discrete and distributed delays ', IEEE Trans. Signal Process., 2004, 52, p. 3200-3212 10.1109/TSP.2004.836535 1053-587X
20. ∞ control of distributed delay systems with application to combustion control ', IEEE Trans. Autom. Control, 2001, 46, p. 1930-1934 10.1109/9.975483 0018-9286
21. Fridman, E., and Shaked, U.: ' Parameter dependent stability and stabilization of uncertain time-delay sytems ', IEEE Trans. Autom. Control, 2003, 48, (5), p. 861-866 10.1109/TAC.2003.811269 0018-9286
22. Yue, D., Han, Q.-L., and Chen, P.: ' State feedback controller design of networked control systems ', IEEE Trans. Circuits Syst. II, 2004, 51, (11), p. 640-644 10.1109/TCSII.2004.836043 1057-7130
23. Bellen, A., Guglielmi, N., and Ruechli, A.E.: ' Methods for linear systems of circuit delay differential equations of neutral type ', IEEE Trans. Circuits Syst. I, Fundam. Theory Appl., 1999, 46, p. 212-216 10.1109/81.739268 1057-7122
24. Ivanescu, D., Niculescu, S.-I., Dugard, L., Dion, J.-M., and Verriest, E.I.: ' On delay-dependent stability for linear neutral systems ', Automatica, 2003, 39, p. 255-261 10.1016/S0005-1098(02)00227-3 0005-1098
25. Mao, X., Koroleva, N., and Rodkina, A.: ' Robust stability of uncertain stochastic differential delay equations ', Syst. Control Lett., 1998, 35, p. 325-336 10.1016/S0167-6911(98)00080-2 0167-6911