Reliable H∞ control of uncertain descriptor systems with multiple time delays

IEE Proceedings: Control Theory and Applications

Volumn 150, Issue 6, 2003, Pages 557-564

  Yue, D ^a   Lam, J ^b   Ho, D W C ^c  

^a NANJING NORMAL UNIVERSITY   (China)

^b UNIVERSITY OF HONG KONG   (Hong Kong)

^c CITY UNIVERSITY OF HONG KONG   (Hong Kong)

Author keywords

[No Author keywords available]

Indexed keywords

ACTUATORS; ALGORITHMS; CLOSED LOOP CONTROL SYSTEMS; CONTROL SYSTEM SYNTHESIS; MATRIX ALGEBRA; OPTIMAL CONTROL SYSTEMS; SYSTEM STABILITY;

LINEAR MATRIX INEQUALITIES; MULTIPLE TIME DELAYS; UNCERTAIN DESCRIPTOR SYSTEM;

UNCERTAIN SYSTEMS;

EID: 0346394249     PISSN: 13502379     EISSN: None     Source Type: Journal    
DOI: 10.1049/ip-cta:20030597     Document Type: Article

References (19)

1. Dai, L.: 'Singular Control Systems' (Springer-Verlag, New York, 1989)
2. ∞ control of linear state delay descriptor systems: an LMI approach', Linear Algebr. Appl., 2002, 351-352, pp. 271-302
3. Li, Y., and Liu, Y.: 'Stability of solution of generalized functional equations', Acta Appl. Math., 1999, 22, pp. 130-138 (in Chinese)
4. Liu, P.L., and Su, T.J.: 'Stability for single and large-scale uncertain systems with time-varying delays', IEE Proc., Control Theory Appl., 1999, 146, pp. 591-597
5. ∞ control for discrete singular systems with state delay and parameter uncertainty', submitted to Dynamics of Continuous, Discrete and Impulsive Systems
6. ∞ state feedback control for discrete singular systems', IEEE Trans. Autom. Control, 2000, 45, pp. 1405-1409
7. Li, Y., and Liu, Y.: Basic theory of singular systems of linear differential difference equations. Proc. IFAC 13th World Congress, 1996, vol. L, pp. 79-84.
8. 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), pp. 1122-1128
9. ∞ control for uncertain linear time-invariant descriptor systems', IEE Proc., Control Theory Appl., 2000, 147, pp. 648-654
10. ∞ controllers for state delayed systems', IEEE Trans. Autom. Control, 1994, 39, pp. 159-162
11. ∞ control for descriptor systems: a matrix inequalities approach', Automatica, 1997, 33, pp. 669-673
12. Ge, J., Frank, P.M., and Lin, F.: 'Design of reliable controller for state delayed systems', Eur. J. Control, 1996, (2), pp. 239-248
13. Wang, Z., Huang, B., and Unbehauen, H.: 'Robust reliable control for a class of uncertain nonlinear state delayed systems', Automatica, 1999, 35, (2), pp. 955-963
14. ∞ control design for linear systems', Automatica, 2001, 37, pp. 717-725
15. ∞ control for uncertain systems with time varying delays', IEE Proc., Control Theory Appl., 1998, 143, (3), pp. 338-344
16. Desoer, C.A., and Vidyasagar, M.: 'Feedback Systems: Input-Output Properties' (Academic Press, New York, 1975)
17. ∞ control for Takagi-Sugeno fuzzy descriptor systems', Proc. IEEE SMC, Tokyo, 1999, pp. III28-III33.
18. Mao, X., Koroleva, N., and Rodkina, A.: 'Robust stability of uncertain stochastic differential delay equations', Syst. Control Lett., 1998, 35, pp. 325-336
19. Arino, O., and Nosov, V.R.: 'On stability of a class of neutral type functional differential equations', Math. Comput. Simul., 1998, 45, pp. 299-307