Delay-dependent robust stability and stabilization for uncertain singular system with time-varying delay

Proceedings of the American Control Conference

Volumn , Issue , 2008, Pages 3626-3631

  Wang, Huijiao ^a,b   Xue, Anke ^b   Lu, Renquan ^b   Wang, Junhong ^c  

^a ZHEJIANG SCI TECH UNIVERSITY   (China)

^b HANGZHOU DIANZI UNIVERSITY   (China)

^c NONE

Author keywords

[No Author keywords available]

Indexed keywords

DELAY-DEPENDENT ROBUST STABILITY; EXPLICIT EXPRESSIONS; INTEGRAL INEQUALITIES; LINEAR MATRIX INEQUAL-ITY; NUMERICAL EXAMPLES; ROBUST STABILIZATION; STATE-FEEDBACK CONTROLLERS; TIME-VARYING DELAYED; UNCERTAIN SINGULAR SYSTEMS;

CLOSED LOOP SYSTEMS; CONTROL THEORY; FEEDBACK; FUZZY CONTROL; LINEAR CONTROL SYSTEMS; LINEAR MATRIX INEQUALITIES; MATRIX ALGEBRA; ROBUSTNESS (CONTROL SYSTEMS); STABILITY CRITERIA; STABILIZATION; STATE FEEDBACK; THREE TERM CONTROL SYSTEMS; TIME DELAY; TIME VARYING CONTROL SYSTEMS; TIME VARYING SYSTEMS;

SYSTEM STABILITY;

EID: 52449111301     PISSN: 07431619     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/ACC.2008.4587056     Document Type: Conference Paper

References (35)

1. J.K. Hale and S.M. Verduyn Lunel, Introduction to Functional Differential Equations, Springer-Verlag, New York, 1993.
2. K.Gu, V.-L. Kharitonov and J. Chen, Stability of Time-delay Systems, Birkhαuser, Boston, 2003.
3. ∞ control for uncertain systems with time varying delays, IEE Proc.-Control Theory Appl., vol. 143(3), 1998, pp 338-344.
4. H. Gao and T. Chen, New results on stability of discrete-time systems with time-varying state delay, IEEE Transactions on Automatic Control, vol. 52(2), 2007, pp 328-334.
5. H. Gao, J. Lam, C. Wang and Y. Wang, Delay-dependent output-feedback stabilization of discrete-time systems with time-varying state delay, IEE Proceedings-Control Theory and Applications, vol. 151(6), 2004, pp 691-698.
6. Q.-L. Han, On robust stability of neutral systems with time-varying discrete delay and norm-bounded uncertainty, Automatica, vol. 40, 2004(6), pp 1087-1092.
7. Q.-L. Han, On stability of linear neutral systems with mixed time-delays: a discretized Lyapunov functional approach, Automatica, vol. 41(7), 2005, pp 1209-1218.
8. X. Jiang and Q.-L. Han, Delay-dependent robust stability for uncertain linear systems with interval time-varying delay, Automatica, vol. 42(6), 2006, pp 1059-1065.
9. Y. He, Q.-G. Wnag, L. Xie and C. Lin, Further improvement of free-weighting matrices technique for systems with time-varying delay, IEEE Transactions on Automatic Control, vol. 52(2), 2007, pp 293-299.
10. ∞ control, Asian Journal of Control, vol. 8(2), 2006, pp 153-160.
11. L. Dai, Singular Control Systems. Berlin, Germany: Springer-Verlag, 1989.
12. F.L. Lewis, A Survey of linear singular systems, Circuits Systems & Signal Processing, vol. 5(1), 1986, pp 3-36.
13. S. Xu, P.V. Dooren, R. Stefan and J. Lam, Robust stability and stabilization for singular systems with state delay and parameter uncertainty, IEEE Trans. Automatic Control, vol. 47(7), 2002, pp 1122-1128.
14. ∞ control for discrete singular systems with parameter uncertainties, Acta. Automatica Sinica, vol. 33(12), 2007, pp 1300-1305.
15. S. Zhou and J. Lam, Robust stabilization of delayed singular systems with linear fractional parametric uncertainties, Circuits Systems & Signal Processing, vol. 22(6), 2003, pp 579-588.
16. K. Gu and S.-I. Niculescu, Additional dynamics in transformed time-delay systems, IEEE Trans. Automatic Control, vol. 45(3), 2000, pp 572-575.
17. K. Gu and S.-I. Niculescu, Further remarks on additional dynamics in various model transformation of linear delay systems, IEEE Trans. Automatic Control, vol. 46(3), 2001, pp 497-500.
18. P. G. Park, Y. S. Moon and W. H. Kwon, A delay-dependent robust stability criterion for uncertain time-delay systems, Proc. of American Control Conference, 1998, pp 1963-1964.
19. P. G. Park, A delay-dependent stability criterion for systems with uncertain time-invariant delays, IEEE Trans. Automatic Control, vol. 44(4), 1999, pp 876-877.
20. ∞ controller design for uncertain descriptor systems with time-varying discrete and distribute distribute delays, IEE Proceedings-Control Theory and Applications, vol. 152(6), 2005, pp 628-638.
21. X. Ji, H. Su and J. Chu, Delay-dependent robust stability of uncertain discrete singular time-delay systems, in Proceedings of the American Control Conference, Minneapolis, Minnesota, USA, 2006, pp 3843-3848.
22. I.R. Petersen, A stabilization algorithm for a class of uncertain linear systems, System & Control Letters, vol. 8(4), 1987, pp 351-357.
23. M. Kristic and H. Deng, Stabilization of nonlinear uncertain systems. London, U.K.: Springer-Verlag, 1998.
24. ∞ control of linear time-delay systems, IEEE Trans. Automatic Control, vol. 47(2), 2002, pp 253-270.
25. R. Zhong and Z. Yang, Robust stability analysis of singular linear system with delay and parameter uncertainty.Journal of Control Theory and Application, vol. 3(2), 2005, pp 195-199.
26. S.Q. Zhu, Z.L. Chen and J. Feng, Delay-dependent robust stability criterion and robust stabilization for uncertain singular time-delay systems. in Proceeding of American Control Conference,Portland, USA, 2005, pp 2839-2844.
27. E.K. Boukas and N.F. Almuthairi, Delay-dependent stabilization of singular linear systems with delays, Internation Journal of Innovative Computing, Information and Control, vol. 2(2), 2006, pp 283-291.
28. ∞ control for linear descriptor systems with delay in state, Journal of Control Theory and Application, vol. 3(1), 2005, pp 76-84.
29. E.K. Boukas and Z.K. Liu, Delay-dependent stability analysis of singular linear continuous-time system, IEE Proceedings Control Theory & Applications, vol. 150(4), 2003, pp 325-330.
30. R. Zhong and Z. Yang, Delay-dependent robust controlof descriptor systems with time delay, Asian Journal of Control, vol. 8(1), 2006, pp 36-44.
31. H.L. Gao, S.Q. Zhu, Z.L. Chen and B.G. Xu, Delay-dependent state feedback guaranteed cost control uncertain singular time-delay systems, in Proceeding of IEEE Conference on Decision and Control, and European Control Conference, IEEE, 2003, pp 4354-4359.
32. E. Fridman, Stability of linear descriptor systems with delay: a Lyapunov-based approach, Journal of Mathematical Analysis and Applications, vol. 273(1), 2002, pp 24-44.
33. E. Fridman, A Lyapunov-based approach to stability of descriptor systems with delay, In Proceeding of IEEE Conference on Decision and Control, Orlando, USA, IEEE, 2001, pp 2850-2855.
34. ∞ control of linear state-delay descriptor systems: an LMI approach, Linear Algebra and its Applications, vol. 351(1), 2002, pp 271-302.
35. Z.G. Wu and W.N. Zhou, Delay-dependent robust stabilzation for uncertain singular systems with state delay, Acta Automatica Sinica, vol. 33(7), 2007, pp 714-718.